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WO2023035496A1 - Train all-day operation method and apparatus, and electronic device and storage medium - Google Patents

Train all-day operation method and apparatus, and electronic device and storage medium Download PDF

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Publication number
WO2023035496A1
WO2023035496A1 PCT/CN2021/141720 CN2021141720W WO2023035496A1 WO 2023035496 A1 WO2023035496 A1 WO 2023035496A1 CN 2021141720 W CN2021141720 W CN 2021141720W WO 2023035496 A1 WO2023035496 A1 WO 2023035496A1
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train
route
time
stage
indicates
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PCT/CN2021/141720
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French (fr)
Chinese (zh)
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汪星华
张秋敏
冯轩
孙海荣
王艳荣
周涵
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中车唐山机车车辆有限公司
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Publication of WO2023035496A1 publication Critical patent/WO2023035496A1/en

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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B61RAILWAYS
    • B61LGUIDING RAILWAY TRAFFIC; ENSURING THE SAFETY OF RAILWAY TRAFFIC
    • B61L27/00Central railway traffic control systems; Trackside control; Communication systems specially adapted therefor
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B61RAILWAYS
    • B61LGUIDING RAILWAY TRAFFIC; ENSURING THE SAFETY OF RAILWAY TRAFFIC
    • B61L27/00Central railway traffic control systems; Trackside control; Communication systems specially adapted therefor
    • B61L27/10Operations, e.g. scheduling or time tables

Definitions

  • the present application relates to the technical field of train operation control, and in particular, relates to a method, device, electronic equipment and storage medium for all-weather train operation.
  • All-weather operation refers to the adaptability of work in any time and climate. In the field of rail transit, all-weather operation means that the train can keep running 24 hours a day. If there is no special reason, the train will run normally during the day, and the frequency of the train will be reduced at night to ensure the basic needs of passengers. Therefore, overnight operation is an important feature of the round-the-clock operation of the train.
  • the embodiment of the present application provides a method, device, electronic equipment and storage medium for running a train around the clock, which can effectively solve the problem that it is difficult to realize the round-the-clock running of the train.
  • a method for running a train around the clock which divides the running time of the whole day into multiple running stages; obtains the number of trains expected to depart in each running stage, and the progress used by each train road set; according to the number of trains in each operation stage and the route set, solve the objective function to obtain the target operation diagram of each operation stage, the objective function represents the minimum total running time of the train, and in the target operation diagram, There is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section; in each operation stage, the operation is carried out according to the target operation diagram of each operation stage.
  • an all-weather running device for trains which includes: a dividing module, used to divide the running time of the whole day into multiple running stages; an obtaining module, used to obtain The number of trains expected to depart in the stage, and the set of routes used by each train; the calculation module is used to solve the objective function according to the number of trains in each operation stage and the set of routes to obtain the target operation diagram of each operation stage,
  • the objective function represents the minimum total running time of the train, and in the target running diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section;
  • the target run graph of the run phase is run.
  • an electronic device includes one or more processors; memory; one or more application programs, wherein the one or more application programs are stored in In the memory and configured to be executed by the one or more processors, the one or more programs are configured to execute the above-mentioned method applied to an electronic device.
  • the embodiments of the present application provide a computer-readable storage medium, where program codes are stored in the computer-readable storage medium, wherein the above method is executed when the program codes run.
  • the all-day running time is divided into multiple operation stages, and the target operation diagram corresponding to each operation stage is solved according to the objective function, and the operation is performed according to the target operation diagram corresponding to each operation stage .
  • the target operation diagram there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance.
  • the objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
  • Fig. 1 is the flowchart of the all-weather operation method of the train that one embodiment of the present application provides;
  • Fig. 2 is the schematic diagram of the railway road network structure that an embodiment of the present application provides;
  • Fig. 3 is a schematic diagram of the route in different operation stages provided by an embodiment of the present application.
  • Fig. 4 is the flowchart of the all-weather operation method of the train provided by another embodiment of the present application.
  • Fig. 5 is a functional block diagram of a train all-weather running device provided by an embodiment of the present application.
  • Fig. 6 is a structural block diagram of an electronic device for implementing the method for running a train around the clock according to the embodiment of the present application proposed by the embodiment of the present application.
  • All-weather operation is a term developed from the aviation industry. It refers to the work adaptability of unlimited time and climate. It mainly uses scientific and technological means to install various electronic equipment on the aircraft so that it can directly face various It not only greatly facilitates people's travel, but also effectively improves the safety of civil aviation.
  • the delay operation of the train can be realized through the delay operation mode.
  • the delayed operation mode is to extend the daily operating time of some rail transit lines on the premise of ensuring safe and normal operation.
  • the first train of the subway is issued in 2 hours to start daytime operation, thereby extending the running time throughout the day. It can meet the travel needs of passengers in some special time periods, and the mode organization method is relatively simple, with fewer requirements for the number of line facilities, equipment and vehicles, and less increase in operating costs for operating companies. This method of extending the running time to meet the travel needs of passengers is one of the most widely used organizational methods at present.
  • the periodical maintenance operation mode refers to a fixed period of time as the period, usually seven days a week, according to the changing rules of passenger flow and maintenance demand within a period, opening maintenance skylights corresponding to it every day, and implementing all-weather maintenance on weekends or special periods run.
  • the implementation of the periodic maintenance operation mode requires more accurate statistics on the daily passenger travel volume and maintenance workload within a period, and further adjustments may be required in actual operation, which has higher requirements for transportation scheduling.
  • realizing all-weather operation on weekends and holidays means that there are higher requirements for maintenance efficiency during non-weekends and non-holiday nights. Maintenance cannot be performed normally on weekends and holidays, and related equipment systems will have a certain risk of failure.
  • an all-weather operation method of the train which divides the all-day running time into multiple operation stages, and solves the target operation graph corresponding to each operation stage according to the objective function, and according to each The target running graph corresponding to the running phase runs.
  • the target running diagram there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, that is, the running time of the train in the maintenance section and the maintenance time of the maintenance section are completely staggered, avoiding the running time and maintenance time Overlapping or crossing can ensure that the train will not be interrupted due to maintenance.
  • the objective function is to minimize the total running time of the train, which can improve the transportation capacity of the line and realize the round-the-clock operation of the train.
  • the solution in the embodiment of the present application can be realized by using various computer languages, for example, the object-oriented programming language Java, the literal translation scripting language JavaScript, and Python.
  • the embodiment of the present application provides a method for running a train around the clock. Specifically, the method may include the following steps.
  • Step 110 divide the running time of the whole day into multiple running phases.
  • the segmented single-track bidirectional operation mode is adopted, that is, the segmented single-track bidirectional operation mode based on the first-line traffic and first-line maintenance mode is used for train operation.
  • the all-weather operation is to realize that the train can run during the day and night.
  • the all-day operation time can be divided into multiple operation stages. Specifically, it can be divided according to the maintenance period. For example, it can be It is divided into pre-maintenance stage, uplink maintenance stage, downlink maintenance stage, and post-maintenance stage.
  • the all-day running time here may refer to 24 hours a day, or may refer to nighttime running time.
  • the running time can also be divided according to other methods.
  • the running time of the whole day can be divided into 2 stages, 4 stages, etc. according to 24 hours a day. It can be set according to actual needs, which will not be done here. Specific limits.
  • the embodiment of the present application only takes the pre-maintenance stage, the uplink maintenance stage, the downlink maintenance stage and the post-maintenance stage as examples to describe in detail.
  • Step 120 obtaining the number of trains expected to depart in each operation phase, and the set of routes used by each train.
  • Routes can generally be divided into arrival routes, departure routes and passing routes.
  • FIG. 2 shows the railway network structure adopted in the embodiment of the present application.
  • the road network is composed of tracks, nodes, and signals, which can clearly reflect the occupancy of trains on each track.
  • the tracks in Figure 2 are arranged into routes in sequence, the arrival route is the train path from the incoming signal to the exit signal in the same station, and the departure route is the train path from the exit signal to the boundary point of the station in the same station , the passing route is the train path from the station boundary point to the adjacent passing signal machine or between two adjacent signal machines.
  • a train route is taken as the smallest unit occupied by a train, that is, a route can only be occupied by one train at most.
  • the biggest difference between the trains that have passed the maintenance task and the trains that have not passed the maintenance task is that the set of routes that the train passes through is different, that is, the train that has not passed the maintenance task
  • the road set only includes possible routes in the original direction
  • the train route set that has passed the maintenance task only includes possible routes in the opposite direction in the interval where the maintenance task is located.
  • Fig. 3 shows a schematic diagram of routes in different operation stages, where (a) is the pre-maintenance stage, (b) is the uplink maintenance stage, (c) is the downlink maintenance stage, and (d) is the post-maintenance stage.
  • the solid line in the figure indicates that the route has not been repaired and can pass through normally, and the dotted line indicates that the route is under maintenance and cannot pass through.
  • the number of trains that are expected to depart and the set of routes that the trains pass can be set for each operation stage.
  • Step 130 according to the number of trains in each operation stage and the set of routes, solve the objective function to obtain the target operation graph of each operation stage, the objective function indicates that the total running time of the train is the smallest, and in the target operation graph, The running time of the train in the maintenance section does not conflict with the maintenance time of the maintenance section.
  • the objective function can be solved according to the number of trains and the set of routes to obtain the target operation diagram of each operation stage.
  • the objective function is pre-established and represents the minimum value of the total running time of the train. Solving the objective function according to the number of trains and route set in each operation stage, we can obtain the minimum value of the total running time of the train under the number of trains and route set, and obtain the operation diagram of the operation stage, that is, Get the arrival and departure times of each train at each station.
  • the running time of the train in the maintenance section in the target operation diagram does not conflict with the maintenance time of the maintenance section. It can be understood that the train is not allowed to run during the maintenance time of the maintenance section. Therefore, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure the safe operation of the train.
  • the operation diagram obtained by solving the objective function can be used as the initial operation diagram, and then the feasibility verification of the initial operation diagram can be carried out , when the initial operation graph passes the feasibility verification, it is used as the target operation graph of this operation stage.
  • constraints When solving the objective function, multiple constraints are usually set, and these constraints can be divided into train operation constraints, running route constraints, and train route sequence constraints.
  • the target operation stage can be determined from the multiple operation stages, and according to the number of trains and the route set in the target operation stage, the target is solved under the train operation constraint, the train route constraint and the train route order constraint. function to obtain the initial operation diagram of the target operation stage; according to the number of trains and the route set in the target operation stage, the objective function is solved under the train operation constraint, the train route constraint and the train route sequence constraint, and the obtained The initial operation diagram of the target operation stage; the feasibility verification of the initial operation diagram is carried out to obtain the verification result, and the target operation diagram of the target operation stage is determined according to the verification result; after obtaining the target of the target operation stage After the graph is run, return to the step of determining the target running phase from the multiple running phases, so as to obtain the target running graph corresponding to each running phase.
  • Step 140 run the train in each operation stage according to the target operation diagram of each operation stage.
  • the target operation diagram of each operation stage is correct and feasible, thus, in each In the operation stage, the operation can be carried out according to the corresponding target operation diagram, so that the train can run around the clock.
  • the operation diagram is a technical document indicating the train's operation in the railway section and the arrival, departure or passing time at the station. Time and other information control the operation of the train to realize the all-weather operation of the train.
  • the all-weather operation method of the train provided in the embodiment of the present application divides the running time of the whole day into multiple operation stages, solves the target operation diagram corresponding to each operation stage according to the objective function, and runs according to the target operation diagram corresponding to each operation stage.
  • the target operation diagram there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance.
  • the objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
  • FIG. 4 another embodiment of the present application provides a kind of train all-weather running method, on the basis of foregoing embodiment, emphatically describes the process of solving the objective function, obtains the operation diagram of each operation phase, and concrete this method can be Include the following steps.
  • Step 210 divide the running time of the whole day into multiple running phases.
  • step 220 the number of trains expected to depart in each operation phase and the set of routes used by each train are obtained.
  • step 210 and step 220 reference may be made to corresponding parts of the foregoing embodiments, and details are not repeated here.
  • Step 230 determining a target operating phase from the plurality of operating phases, where the target operating phase has no corresponding target operating graph and has the earliest time sequence.
  • the target running phase can be determined from the multiple running phases.
  • the target stage is an operation stage that has no corresponding target operation diagram and has the earliest time sequence. There is no corresponding phase of the target operation diagram, therefore, phase 1 can be confirmed as the target operation phase from the four phases. If the target operation diagram of stage 1 is obtained through calculation, stage 2 is determined as the target stage from stage 2, stage 3, and stage 4.
  • Step 240 according to the number of trains in the target operation stage and the set of routes, solve the objective function under the constraints of train operation, train passing routes and sequence of train routes to obtain the initial operation graph of the target operation stage.
  • the objective function can be solved to obtain the initial operation diagram of the target operation stage under multiple constraint conditions.
  • the objective function is:
  • Z represents the total running time of the train; Indicates the end time of train r using route b; Indicates the start time of train r using route b.
  • the multiple constraint conditions include train operation constraints, train route constraints, and train sequence constraints. Each constraint is detailed below.
  • Train operation constraints are mainly constraints on the start time of the train on the route, the end time on the route, and the stop time of the train at the station. Including the relationship constraints between the start time of the train on the route and whether the train uses the route; the relationship constraints between the end time of the train on the route and whether the train uses the route; The relationship constraint of the start time of the route; the stop time constraint of the train at the station.
  • the relationship constraints between the end time of the train on the route and the start time of the train on the route include constraints (3) to (10).
  • Constraint (3) indicates that the traveling time of train r on route b should be the traveling time t r,l of track l included in the route. It should be noted that when the train r leaves the station at the starting station, it needs to have a certain stop time, so the situation is excluded. At the same time, the line where the maintenance task is set may run at reduced speed, which needs to be considered separately.
  • Constraint (4) is similar to constraint (3), it is the relationship constraint between the end time and start time of route b affected by the set maintenance task of train r, if it is in the maintenance phase (including up maintenance phase or downlink maintenance stage), the running time needs to be multiplied by a given coefficient to reduce the running speed to ensure the safety of adjacent line maintenance.
  • B r represents the route set used by train r; Indicates the end time of train r using route b; Indicates the start time of train r using route b;
  • x r, b is expressed as a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
  • t r, l means train r is on track
  • the running time obtained with the maximum running speed on l, the running time is an integer; stop r, s represents the actual stop time of train r at station s; Indicates the starting point of train r;
  • N boundary indicates the set of dividing points.
  • Constraint (5) is the travel time constraint of train r leaving the station, and the actual stop time of train r at the station where station n is located, and the calculation of the running time of the train starting at the demarcation point is excluded.
  • Constraint (6) means that the travel time of train r route b is the travel time of the track included in the route, excluding the last track (on the arrival and departure line) travel time. This case also includes the case where the starting node of the train is the demarcation point and enters the station.
  • B r represents the set of routes used by train r; Indicates the start time of train r using route b; Indicates that the train r is at the starting point The latest possible departure time.
  • Constraint (7) means that train r is at the starting node Earliest possible departure time.
  • B r represents the set of routes used by train r; Indicates the start time of train r using route b; Indicates that the train r is at the starting point earliest possible departure time.
  • Constraint (8) means that train r is at the starting node Latest possible departure time.
  • N r indicates the set of nodes that train r may pass through, except the starting point and end point of the train, N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes, N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes, Indicates the set of special nodes that train r may pass through, Indicates the starting point of train r; Indicates the end point of train r.
  • Constraint (9) only analyzes the time continuation relationship between the route that does not need to be unlocked in advance and the next route. That is to say, between the adjacent routes of train r on its possible path node n, the start time of the next route b ⁇ is equal to the end time of the previous route b.
  • N s represents the node combination of station s
  • N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes
  • N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes
  • B r represents the set of routes used by train r
  • stop r, s indicates the actual stop time of train r at station s
  • x r, b' is expressed as a 0-1 variable, 1 indicates that train r uses route b', 0 means train r does not use route b′
  • c b' represents the set of track groups contained in route b'
  • the end time of the route will be advanced.
  • the route will be unlocked in advance, so the running time of the last track of the route and the stop time at the station where the connection point is located need to be added to the time continuation relationship between the route and its next route.
  • the stop time constraints of the train at the station include constraint (11) and constraint (12).
  • stop r s represents the actual stop time of train r at station s
  • dwell r s represents the planned stop time of train r at station s
  • S r represents the set of stations that train r may pass through, except the start and end stations ;
  • S represents the set of stations, indexed by s, that is, s ⁇ S.
  • Constraint (11) is the basic stop time requirement of train r at station s.
  • stop r, s represents the actual stop time of train r at station s;
  • x r, b represents a 0-1 variable, 1 represents that train r uses route b, 0 represents that train r does not use route b;
  • M represents A very large constant;
  • N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes;
  • B r represents the set of routes used by train r; Indicates the set of incoming routes at node n;
  • s n indicates the station s where node n is located;
  • S r indicates the set of stations that train r may pass through, except for the start and end stations; represents the starting station of train r, Indicates the terminal station of train r.
  • the stop time is 0; when the train r passes the station on the side line, there is a stop time.
  • the train-passing route constraints include constraints on the number of train-traveling routes, so as to ensure that the train selects a unique route. Specifically, constraints (13)-(16) are included.
  • B r represents the route set used by train r
  • x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b
  • R indicates the set of trains.
  • B r represents the set of routes used by train r;
  • x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b;
  • R indicates the set of trains.
  • B r represents the route set used by train r
  • x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b
  • Indicates the set of incoming routes at node n Indicates the starting point of the train r; Indicates the end point of train r; R indicates the set of trains.
  • N s represents the node combination of station s
  • N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes
  • N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes
  • B r represents the route set used by train r
  • x r, b' is expressed as a 0-1 variable, 1 means that train r uses route b ⁇ , and 0 means that train r does not use Route b ⁇
  • S r represents the set of stations that train r may pass through, except the start and end stations
  • R represents the set of trains.
  • constraint (13) means that the train r is at the initial node There is and only one route is selected; constraint (14) means that train r arrives at node There is and only one route is selected; constraint (15) means that when train r passes through node n, the number of inflow routes is equal to the number of outflow routes; constraint (16) means that when train r passes through station s, the total number of inbound routes is only Can be 1.
  • the sequence constraints of the route include the sequence constraints of the trains passing through and out of the station, the sequence constraints of the trains entering the station, and the sequence constraints of the different initial positions of the trains at the station.
  • the sequence constraints of trains passing through and out of the station include constraints (17)-(21); the sequence constraints of trains entering the station include (22)-(23); the trains at different initial positions at the station Order constraints include constraints (24)-(27).
  • x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; M is a very large constant; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r' using route b'; Indicates the end time of train r using route b; ⁇ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is before the time when train r' uses route b' , that is, it indicates the order of the trains on the conflicting route, otherwise it is 0; N siding indicates the set of side line nodes with signals in the station, that is, the nodes connected between the routes, N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected
  • Constraint (17) means that when train r and r' use conflicting routes b and b', the start time of train r' route is later than the end time of train r route.
  • the relationship between routes b and b′ is as follows: (1) they are both inbound routes, but their final nodes are different; (2) they are both outbound routes, but their starting nodes are different; (3) ) One route is an outbound route, and the other route is an inbound route. The start node of the outbound route is different from the end node of the inbound route.
  • x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; M is a very large constant; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r using route b; Indicates the end time of train r' using route b'; ⁇ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is the time when train r' uses route b' Before the time, that is to say, it indicates the order of the trains on the conflicting route, and it is 0, otherwise; N siding indicates the set of side line nodes with signal machines in the station, which is the node connected between the routes, N main represents the set of main line nodes with signal machines in the station, that is, the
  • Constraint (18) means that when trains r and r' use conflicting outbound routes b and b', the start time of train r's route is later than the end time of train r' route.
  • the relationship between routes b and b′ is as follows: (1) they are both inbound routes, but their final nodes are different; (2) they are both outbound routes, but their starting nodes are different; (3) ) One route is an outbound route, and the other route is an inbound route. The start node of the outbound route is different from the end node of the inbound route.
  • x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, 0 means that train r' does not use route b; x r, b is expressed as a 0-1 variable, 1 means that train r Use route b, 0 means train r does not use route b; Indicates the start time of train r′ using route b; Indicates the end time of train r using route b; M represents a very large constant; ⁇ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is used in train r' Before the time of route b′, that is to say, it indicates the order of the trains on the conflicting route, if it is 0, otherwise; B r represents the route set used by train r; B r′ represents the route set used by train r’.
  • Constraint (19) means that when train r and r' use the same route, the start time of train r' route is later than the end time of train r route.
  • x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, and 0 means that train r' does not use route b; x r, b is expressed as a 0-1 variable, 1 means that train r Use route b, 0 means train r does not use route b; Indicates the start time of train r using route b; Indicates the end time of train r' using route b; M represents a very large constant; ⁇ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is within train r' Before the time when route b' is used, that is, it indicates the sequence of the trains on the conflicting route, and it is 0, otherwise; B r represents the route set used by train r; B r' represents the route set used by train r'.
  • Constraint (20) means that when train r and r' use the same route, the start time of train r' route is later than the end time of train r' route.
  • ⁇ r, b, r′, b′ represent 0-1 variables, and 1 means that the time when train r uses route b is before the time when train r uses route b′, which means that the train is on the conflicting route If it is 0, otherwise; ⁇ r,b',r',b' represent 0-1 variables, and if it is 1, it means that the time when train r uses route b' is before the time when train r' uses route b', That is to say, it indicates the sequence of the trains on the conflicting route, if it is 0, otherwise.
  • Constraint (21) means that when trains r and r' use conflicting outbound routes b and b', the route will be changed to an interval route, and the sequence of trains will not change.
  • M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r' using route b'; Indicates the end time of train r using route b; stop r, s indicates the actual stop time of train r at station s; Indicates the running time of train r at the maximum running speed on route b; c b represents the set of track groups contained in route b; ⁇ r, b, r', b' represent 0-1 variables, and 1 means The time when train r uses route b is before the time when train r' uses route b', that is to say, it indicates the sequence of trains on the conflicting route, and vice
  • Constraint (22) means that when trains r and r' use conflicting routes b and b', and the end nodes of routes b and b' are the same, the start time of train r' route is later than the end time of train r route Add the train stop time and the last track running time.
  • M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r using route b; Indicates the end time of train r' using route b'; stop r', s indicates the actual stop time of train r' at station s; Indicates the running time of train r' at the maximum running speed on route b'; c b' represents the set of track groups contained in route b'; ⁇ r, b, r', b' represent 0-1 variables , is 1, which means that the time when train r uses route b is before the time when train r' uses route b', that is, it indicates the sequence of trains on
  • Constraint (23) means that when trains r and r' use conflicting routes b and b', and the end nodes of routes b and b' are the same, the start time of train r's route is later than the end time of train r' route Add the train stop time and the last track running time.
  • M is a very large constant; x r', b' are expressed as 0-1 variables, 1 means that train r' uses route b', and 0 means that train r' does not use route b'; Indicates the start time of train r' using route b'; Indicates the end time of train r using route b; Indicates the outflow route set at node n; B r represents the route set used by train r; stop r, s represents the actual stop time of train r at station s; Indicates the starting station of train r; B r'indicates the set of routes used by train r'; Indicates the set of incoming routes at node n; Indicates the starting point of the train r; Indicates the set of special nodes that train r may pass through, Indicates the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters
  • Constraint (24) means that when the train r is at the initial node And this node departs from the place where the exit signal is located, train r uses the exit route b, and train r′ uses the inbound route b’ that conflicts with b, the start time of the train r’ route is later than that of the train r route Start time plus train stop time.
  • M is a very large constant; x r', b' are expressed as 0-1 variables, 1 means that train r' uses route b', and 0 means that train r' does not use route b'; Indicates the start time of train r' using route b'; Indicates the set of outgoing routes at node n; B r represents the set of routes used by train r; Indicates the end time of train r using route b; Indicates the starting station of train r; B r'indicates the set of routes used by train r'; Indicates the set of incoming routes at node n; Indicates the starting point of the train r; Indicates the set of special nodes that train r may pass through, Indicates the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary.
  • Constraint (25) means that when the train r is at the initial node And this node is not where the outbound signal is located, but the node behind the outbound signal departs, train r uses the outbound route b, and train r' uses the inbound route b' that conflicts with b, train r'
  • the route start time is later than the train r route end time.
  • M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r' using route b'; Indicates the end time of train r using route b; s n indicates the station s where node n is located; Represents the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary; B r represents the route set used by train r ; Indicates the set of outgoing routes at node n; B r' represents the set of routes used by train r'; Indicates the starting point of the train r.
  • Constraint (26) means that when the train r is at the initial node And when the node is the boundary point between the station and the section, train r uses the approach b, and train r' uses the approach b that conflicts with b, the start time of the train r' is later than the end of the train r time.
  • M is a very large constant; x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, and 0 means that train r' does not use route b; x r, b is expressed as 0- 1 variable, 1 means train r uses route b, 0 means train r does not use route b; Indicates the start time of train r′ using route b; Indicates the end time of train r using route b; stop r, s indicates the actual stop time of train r at station s; s n indicates the station s where node n is located; Represents the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary; B r represents the route set used by train r ; B r' represents the route set used by train r'; Indicates the set of outgoing routes at node
  • Constraint (27) means that when the train r is at the initial node, and the node is the boundary point between the station and the section, the train r uses the inbound route b, and when the train r' also uses the inbound route b', the train r' route The start time is later than the end time of the train r route plus the stop time.
  • Step 250 Perform feasibility verification on the initial operation diagram, obtain a verification result, and determine a target operation diagram for the target operation phase according to the verification result.
  • an initial operation diagram of the target operation phase can be obtained.
  • the feasibility verification of the initial operation diagram can be performed to obtain a verification result.
  • FIG. 5 shows a schematic diagram of possible situations in the initial operation diagram. Since the objective function does not limit the arrival time of the train, there will be a situation where the train operation line spans two stages, resulting in the possibility of errors in the operation diagram.
  • the operation diagram is divided into the pre-maintenance stage and the uplink maintenance stage by dotted lines. An uplink train starts at the pre-maintenance stage. If there is no conflict, the operation diagram is correct and feasible; but in 5(b), the operation time of the train in the maintenance section conflicts with the maintenance time, and the operation diagram is infeasible.
  • the verification result includes conflict or non-conflict. If the verification result is a conflict, it indicates that there is an error in the initial operation diagram, then re-solve the objective function to obtain the initial operation diagram of the target operation phase, until the verification result of the initial operation diagram is no conflict, the described The target operation graph of the target operation phase; if the verification result is no conflict, it can be determined that the initial operation graph is the target operation graph of the target operation phase.
  • Step 260 after obtaining the target operation graph of the target operation stage, return to the step of determining the target operation stage from the plurality of operation stages, so as to obtain the target operation graph corresponding to each operation stage.
  • the execution may return to step 230, that is, continue to determine the target operation stage from multiple operation stages, and solve the target operation graph for the determined target operation stage.
  • the four operating stages are sequenced according to the time sequence: stage 1, stage 2, stage 3, and stage 4.
  • the first determined target operating stage is stage 1.
  • stage 1 After obtaining the target operation diagram of stage 1, it is determined that there is no The corresponding target operation diagram, and the earliest operation stage of the time sequence is the target operation stage, that is, stage 2 is the new target operation stage.
  • stage 3 is the target operation stage.
  • Step 270 run the train in each operation stage according to the target operation diagram of each operation stage.
  • step 270 reference may be made to corresponding parts of the foregoing embodiments, and details are not repeated here.
  • the all-weather train operation method solves the objective function under the constraints of train operation constraints, train route constraints and train route sequence constraints, and can obtain the initial operation diagram of the target operation stage, ensuring that the obtained initial operation diagram does not There will be train operation and sequence conflicts, and the feasibility verification of the initial operation diagram is carried out to ensure that in the target operation diagram of each operation stage, there will be no conflict between the operation time and maintenance time in the maintenance section, and it can be guaranteed that each operation
  • the target operation chart of the stage can realize the all-weather operation of the train.
  • the all-weather operation method of the train will be described below with a specific example.
  • the subway line is R1, and there are 7 stations on the whole line.
  • the 7 stations there are 4 stations with double-crossing lines and cross-crossing lines, which are respectively station 1, station 2, and station 3. and station 7.
  • the train goes from the maintenance section to the non-maintenance section, and enters the maintenance section from the maintenance section. If the original line belongs to the planned maintenance line, then it needs to be transferred via a crossover. , so the division of the maintenance section requires that the stations at both ends must be stations equipped with crossovers. Therefore, the whole line can be divided into three maintenance sections, which are station 1-station 7, station 1-station 2, and station 2-station 3.
  • trains can be guaranteed to run normally during the day.
  • the nighttime running time is used as the all-day running time, and the all-day running time is divided into two running periods, which are the early stage and the late stage. There are 10 night trains in the early stage and 20 night trains in the late stage.
  • the early stage is taken as the target operation stage, and the route set passed by the 10 trains in the early stage is obtained.
  • the objective function is to obtain an initial operation diagram in the early stage, and obtain a target operation diagram when it is determined that the operation time of the maintenance section in the initial operation diagram does not conflict with the maintenance time.
  • the train operation can be performed according to the target operation diagram. Since the all-day running time here is nighttime running time, normal running at night can be realized, and the driving plan during the day remains unchanged, that is, round-the-clock running of the train can be realized.
  • the embodiment of the present application provides an all-weather train operation device 300 , the train all-weather operation device 300 includes a division module 310 , an acquisition module 320 , a calculation module 330 and an operation module 340 .
  • the division module 310 is used to divide the running time of the whole day into multiple operation stages; the acquisition module 320 is used to obtain the number of trains expected to depart in each operation stage, and the set of routes used by each train; The calculation module 330 is used to solve the objective function according to the number of trains in each operation stage and the set of routes to obtain the target operation diagram of each operation stage.
  • the objective function indicates that the total running time of the train is the minimum, and the In the operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section; the operation module 340 is used to operate in each operation stage according to the target operation diagram of each operation stage.
  • the calculation module 320 is also used to determine the target operation stage from the plurality of operation stages, the target operation stage is the operation stage that has no corresponding target operation diagram and has the earliest time sequence; Quantity and route set, solving the objective function under the constraints of train operation constraints, train route constraints and train route sequence constraints, to obtain the initial operation diagram of the target operation stage; and verify the feasibility of the initial operation diagram , obtain the verification result, and determine the target operation diagram of the target operation phase according to the verification result; after obtaining the target operation diagram of the target operation phase, return to the execution of determining the target operation phase from the multiple operation phases Steps to obtain the target operation diagram corresponding to each operation stage.
  • the calculation module 320 is also used to determine whether there is a conflict between the running time of the maintenance section and the maintenance time in the initial operation diagram; if the verification result is a conflict, re-solve the objective function to obtain the initial operation diagram , until the verification result is no conflict, the target operation graph of the target operation phase is obtained; when the verification result is no conflict, the initial operation graph is determined to be the target operation graph of the target operation phase.
  • Z represents the total running time of the train; Indicates the end time of train r using route b; Indicates the start time of train r using route b.
  • the train operation constraints include: the relationship constraint between the start time of the train on the route and whether the train uses the route; the relationship constraint between the end time of the train on the route and whether the train uses the route; The relationship constraint between the end time of the route and the start time of the train on the route; the stop time constraint of the train at the station.
  • the train route constraint includes: a constraint on the number of train route routes.
  • route sequence constraints include: sequence constraints of trains passing through routes and outbound routes; sequence constraints of trains on incoming routes; sequence constraints of trains at different initial positions at the station.
  • the all-weather train operation device provided by the embodiment of the present application divides the all-day running time into multiple operation stages, solves the target operation diagram corresponding to each operation stage according to the objective function, and operates according to the target operation diagram corresponding to each operation stage.
  • the target operation diagram there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance.
  • the objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
  • the embodiment of the present application provides a structural block diagram of an electronic device
  • the electronic device 400 includes a processor 410, a memory 420 and one or more application programs, wherein the one or more application programs are stored in
  • the memory 420 is configured to be executed by the one or more processors 410, and the one or more programs are configured to execute the above-mentioned all-weather train operation method.
  • the electronic device 400 may be a terminal device capable of running application programs, such as a smart phone and a tablet computer, or may be a server.
  • the electronic device 400 in this application may include one or more of the following components: a processor 410, a memory 420, and one or more application programs, wherein one or more application programs may be stored in the memory 420 and configured to be used by One or more processors 410 are executed, and one or more programs are configured to execute the methods described in the foregoing method embodiments.
  • Processor 410 may include one or more processing cores.
  • the processor 410 uses various interfaces and lines to connect various parts in the entire electronic device 400, and executes or executes by running or executing instructions, programs, code sets or instruction sets stored in the memory 420, and calling data stored in the memory 420.
  • the processor 410 may adopt at least one of Digital Signal Processing (Digital Signal Processing, DSP), Field-Programmable Gate Array (Field-Programmable Gate Array, FPGA), and Programmable Logic Array (Programmable Logic Array, PLA). implemented in the form of hardware.
  • DSP Digital Signal Processing
  • FPGA Field-Programmable Gate Array
  • PLA Programmable Logic Array
  • the processor 410 may integrate one or a combination of a central processing unit (Central Processing Unit, CPU), an image processor (Graphics Processing Unit, GPU), a modem, and the like.
  • CPU Central Processing Unit
  • GPU Graphics Processing Unit
  • the CPU mainly handles the operating system, user interface and application programs, etc.
  • the GPU is used to render and draw the displayed content
  • the modem is used to handle wireless communication. It can be understood that, the above-mentioned modem may not be integrated into the processor 410, but may be realized by a communication chip alone.
  • the memory 420 may include random access memory (Random Access Memory, RAM), and may also include read-only memory (Read-Only Memory). Memory 420 may be used to store instructions, programs, codes, sets of codes, or sets of instructions.
  • the memory 420 may include a program storage area and a data storage area, wherein the program storage area may store instructions for implementing an operating system and instructions for implementing at least one function (such as a touch function, a sound playback function, an image playback function, etc.) , instructions for implementing the following method embodiments, and the like.
  • the storage data area can also store data created by the electronic device 400 during use (such as phonebook, audio and video data, chat record data) and the like.
  • the electronic device provided in the embodiment of the present application divides the operating time of the whole day into multiple operating stages, solves the target operating graph corresponding to each operating stage according to the objective function, and operates according to the target operating graph corresponding to each operating stage.
  • the target operation diagram there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance.
  • the objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
  • the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
  • computer-usable storage media including but not limited to disk storage, CD-ROM, optical storage, etc.
  • These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions
  • the device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.

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Abstract

A train all-day operation method. The method comprises: dividing an all-day operation time into a plurality of operation stages (110, 210); acquiring the number of trains expected to depart in each operation stage, and a travel path set used by each train (120, 220); solving an objective function according to the number of trains in each operation stage, and the travel path set, so as to obtain a target operation diagram of each running stage, wherein the objective function represents that the total operation time of the train is the minimum, and in the target operation diagram, the operation time of the train in a maintenance section does not conflict with the maintenance time in the maintenance section (130); and performing operation in each operation stage according to the target operation diagram of each operation stage (140, 270). In a target operation diagram, the operation time and the maintenance time of a train in a maintenance section do not conflict with each other, such that it can be ensured that the train is not interrupted due to maintenance; an objective function represents that the total operation time of the train is the minimum; and the transportation capacity of a line can be improved, thereby realizing the all-day operation of the train.

Description

列车全天候运行方法、装置、电子设备及存储介质All-weather train operation method, device, electronic equipment and storage medium 技术领域technical field
本申请涉及列车运行控制技术领域,具体地,涉及一种列车全天候运行方法、装置、电子设备及存储介质。The present application relates to the technical field of train operation control, and in particular, relates to a method, device, electronic equipment and storage medium for all-weather train operation.
背景技术Background technique
全天候运行是指不限时间不限气候的工作适应性。在轨道交通领域,全天候运行是指列车能够在一天内保持24h运行,在没有特殊原因的情况下,列车白天正常运行,夜间会降低列车开行频率,保证乘客的基本需求。因此,通宵运营是列车全天候运行的重要特征。All-weather operation refers to the adaptability of work in any time and climate. In the field of rail transit, all-weather operation means that the train can keep running 24 hours a day. If there is no special reason, the train will run normally during the day, and the frequency of the train will be reduced at night to ensure the basic needs of passengers. Therefore, overnight operation is an important feature of the round-the-clock operation of the train.
由于轨道线路需要一定的时间进行维修,目前难以实现列车的全天候运行。Since the track line needs a certain amount of time to be repaired, it is difficult to realize the round-the-clock operation of the train at present.
发明内容Contents of the invention
本申请实施例中提供了一种列车全天候运行方法、装置、电子设备及存储介质,可以有效难以实现列车的全天候运行的问题。The embodiment of the present application provides a method, device, electronic equipment and storage medium for running a train around the clock, which can effectively solve the problem that it is difficult to realize the round-the-clock running of the train.
根据本申请实施例的第一个方面,提供了一种列车全天候运行方法,将全天运行时间划分为多个运行阶段;获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合;根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突;在每个运行阶段按照每个运行阶段的目标运行图进行运行。According to the first aspect of the embodiment of the present application, a method for running a train around the clock is provided, which divides the running time of the whole day into multiple running stages; obtains the number of trains expected to depart in each running stage, and the progress used by each train road set; according to the number of trains in each operation stage and the route set, solve the objective function to obtain the target operation diagram of each operation stage, the objective function represents the minimum total running time of the train, and in the target operation diagram, There is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section; in each operation stage, the operation is carried out according to the target operation diagram of each operation stage.
根据本申请实施例的第二个方面,提供了一种列车全天候运行装置,该装置包括:划分模块,用于将全天运行时间划分为多个运行阶段;获取模块,用于获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合;计算模块,用于根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突;运行模块,用于在每个运行阶段按照每个运行阶段的目标运行图进行运行。According to the second aspect of the embodiment of the present application, there is provided an all-weather running device for trains, which includes: a dividing module, used to divide the running time of the whole day into multiple running stages; an obtaining module, used to obtain The number of trains expected to depart in the stage, and the set of routes used by each train; the calculation module is used to solve the objective function according to the number of trains in each operation stage and the set of routes to obtain the target operation diagram of each operation stage, The objective function represents the minimum total running time of the train, and in the target running diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section; The target run graph of the run phase is run.
根据本申请实施例的第三个方面,提供了一种电子设备,该电子设备包括一个或多个处理器;存储器;一个或多个应用程序,其中所述一个或多个应用程序被存储在所述存储器中并被配置为由所述一个或多个处理器执行,所述一个或多个程序配置用于执行如上述应用于电子设备的方法。According to a third aspect of the embodiments of the present application, an electronic device is provided, and the electronic device includes one or more processors; memory; one or more application programs, wherein the one or more application programs are stored in In the memory and configured to be executed by the one or more processors, the one or more programs are configured to execute the above-mentioned method applied to an electronic device.
根据本申请实施例的第四方面,本申请实施列提供一种计算机可读存储介质,所述计算机可读存储介质中存储有程序代码,其中,在所述程序代码运行时执行上述的方法。According to a fourth aspect of the embodiments of the present application, the embodiments of the present application provide a computer-readable storage medium, where program codes are stored in the computer-readable storage medium, wherein the above method is executed when the program codes run.
采用本申请实施例中提供的列车全天候运行方法,将全天运行时间划分为多个运行阶段,根据目标函数求解各个运行阶段对应的目标运行图,并按照每个运行阶段对应的目标运行图运行。所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突,可确保列车不会因为维修而中断, 目标函数为列车的总运行时间最小,可提升线路的运输能力,实现列车的全天候运行。Using the all-weather train operation method provided in the embodiment of the present application, the all-day running time is divided into multiple operation stages, and the target operation diagram corresponding to each operation stage is solved according to the objective function, and the operation is performed according to the target operation diagram corresponding to each operation stage . In the target operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance. The objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
附图说明Description of drawings
此处所说明的附图用来提供对本申请的进一步理解,构成本申请的一部分,本申请的示意性实施例及其说明用于解释本申请,并不构成对本申请的不当限定。在附图中:The drawings described here are used to provide a further understanding of the application and constitute a part of the application. The schematic embodiments and descriptions of the application are used to explain the application and do not constitute an improper limitation to the application. In the attached picture:
图1为本申请一个实施例提供的列车全天候运行方法的流程图;Fig. 1 is the flowchart of the all-weather operation method of the train that one embodiment of the present application provides;
图2为本申请一个实施例提供的铁路路网结构的示意图;Fig. 2 is the schematic diagram of the railway road network structure that an embodiment of the present application provides;
图3为本申请一个实施例提供的在不同运行阶段的进路示意图;Fig. 3 is a schematic diagram of the route in different operation stages provided by an embodiment of the present application;
图4为本申请另一个实施例提供的列车全天候运行方法的流程图;Fig. 4 is the flowchart of the all-weather operation method of the train provided by another embodiment of the present application;
图5为本申请一个实施例提供的列车全天候运行装置的功能模块图;Fig. 5 is a functional block diagram of a train all-weather running device provided by an embodiment of the present application;
图6为本申请实施例提出的用于执行根据本申请实施例的列车全天候运行方法的电子设备的结构框图。Fig. 6 is a structural block diagram of an electronic device for implementing the method for running a train around the clock according to the embodiment of the present application proposed by the embodiment of the present application.
具体实施方式Detailed ways
为了使本申请实施例中的技术方案及优点更加清楚明白,以下结合附图对本申请的示例性实施例进行进一步详细的说明,显然,所描述的实施例仅是本申请的一部分实施例,而不是所有实施例的穷举。需要说明的是,在不冲突的情况下,本申请中的实施例及实施例中的特征可以相互组合。In order to make the technical solutions and advantages in the embodiments of the present application clearer, the exemplary embodiments of the present application will be further described in detail below in conjunction with the accompanying drawings. Apparently, the described embodiments are only part of the embodiments of the present application, and Not an exhaustive list of all embodiments. It should be noted that, in the case of no conflict, the embodiments in the present application and the features in the embodiments can be combined with each other.
全天候运行是从航空工业中发展起来的术语,是指不限时间不限气候的工作适应性,其主要是通过科技手段,在航空飞行器上安装各种电子设备,使其能够直接地面对各种复杂天气和地势环境,实现安全降落,不仅大大便利了人们的出行,同时有效地提高了民航的安全性。All-weather operation is a term developed from the aviation industry. It refers to the work adaptability of unlimited time and climate. It mainly uses scientific and technological means to install various electronic equipment on the aircraft so that it can directly face various It not only greatly facilitates people's travel, but also effectively improves the safety of civil aviation.
对于城市轨道交通来说,其全天候运行是指车辆能够一天内保持24h运行,且由于若无特殊原因,轨道车辆白天正常运行,夜间会降低列车开行频率,保证乘客基本出行需求。因此,通宵运营是全天候运行的重要特征。目前全球地铁行业共有15个城市实施了全天候运营,我国的香港、台北在部分重大节假日实施通宵运营,国内城市轨道交通还未存在全天候不间断运行的先例,仅仅实现部分城市夜间延长运营时间。For urban rail transit, its all-weather operation means that the vehicles can keep running 24 hours a day, and because there is no special reason, the rail vehicles will operate normally during the day, and the frequency of trains will be reduced at night to ensure the basic travel needs of passengers. Therefore, overnight operation is an important feature of 24/7 operation. At present, 15 cities in the global subway industry have implemented round-the-clock operation. my country’s Hong Kong and Taipei implement overnight operation on some major holidays. Domestic urban rail transit has not yet had a precedent for round-the-clock uninterrupted operation, and only some cities have extended operating hours at night.
目前可以通过延时运行模式实现列车的延时运行。延时运行模式是在保证安全正常运行的前提下,延长部分轨道交通线路每日的运行时间。现在主要有两种方法延长运行时间,一种是在周末前一天的夜间,或者元旦、国庆等大型公共节假日,地铁运行线路适当延长夜间运行时间1至2小时;另一种是采取提前1至2小时发出地铁首班车开始日间运行,从而延长全日运行时间。可以满足一些特殊时段乘客的出行需求,而且模式组织方法较为简单,对线路设施设备和车辆的数量要求较少,运营企业的运营成本增加较少。这种通过延长运行时间的方法来满足乘客的出行需求是目前运用较多的组织方法之一。At present, the delay operation of the train can be realized through the delay operation mode. The delayed operation mode is to extend the daily operating time of some rail transit lines on the premise of ensuring safe and normal operation. Now there are mainly two ways to extend the running time. One is to extend the night running time of subway lines by 1 to 2 hours on the night before the weekend, or on large public holidays such as New Year’s Day and National Day; the other is to take 1 to 2 hours in advance. The first train of the subway is issued in 2 hours to start daytime operation, thereby extending the running time throughout the day. It can meet the travel needs of passengers in some special time periods, and the mode organization method is relatively simple, with fewer requirements for the number of line facilities, equipment and vehicles, and less increase in operating costs for operating companies. This method of extending the running time to meet the travel needs of passengers is one of the most widely used organizational methods at present.
采用延时运行模式需要严格的测算夜间施工作业天窗时间。根据现有条件分析,有可能实现将一天的运行时间延长至19至20小时,但对维保效率、相关设备系统及人员要求较高。The use of delayed operation mode requires strict calculation of skylight time for night construction operations. According to the analysis of existing conditions, it is possible to extend the operating time to 19 to 20 hours a day, but the requirements for maintenance efficiency, related equipment systems and personnel are relatively high.
周期性检修运行模式是指以一段固定时间作为周期,通常是—周七天,根据一个周期内的客流和维 修需求的变化规律,每天开设与之相适应的维修天窗,在周末或特殊时段实施全天候运行。The periodical maintenance operation mode refers to a fixed period of time as the period, usually seven days a week, according to the changing rules of passenger flow and maintenance demand within a period, opening maintenance skylights corresponding to it every day, and implementing all-weather maintenance on weekends or special periods run.
通常周末或节假日夜间,轨道交通的客流量相对较大,对全天候运行的需求更大。所以可以通过良好的配线条件、运输组织来实现轨道交通系统的周期性全天候运行,将重要、耗时的维保工作,从周末转移到周一至周四夜间时段来进行,保障轨道交通系统的行车安全。Usually on weekends or holiday nights, the passenger flow of rail transit is relatively large, and the demand for all-weather operation is greater. Therefore, the periodic all-weather operation of the rail transit system can be realized through good wiring conditions and transportation organization, and the important and time-consuming maintenance work can be transferred from weekends to Monday to Thursday night time to ensure the rail transit system. Driving safety.
实施周期性检修运行模式需要对一个周期内旅客每日出行量以及维保工作量有较为准确的统计,可能在实际运行中还需要进一步调整,这对运输调度的要求较高。此外,实现周末和节假日的全天候运行,意味着对非周末、非节假日夜间的维保效率要求更高,周末、节假日无法正常进行维护,相关设备系统会存在一定故障风险。The implementation of the periodic maintenance operation mode requires more accurate statistics on the daily passenger travel volume and maintenance workload within a period, and further adjustments may be required in actual operation, which has higher requirements for transportation scheduling. In addition, realizing all-weather operation on weekends and holidays means that there are higher requirements for maintenance efficiency during non-weekends and non-holiday nights. Maintenance cannot be performed normally on weekends and holidays, and related equipment systems will have a certain risk of failure.
为了实现列车的全天候运行,本申请实施例中提供了一种列车全天候运行方法,将全天运行时间划分为多个运行阶段,根据目标函数求解各个运行阶段对应的目标运行图,并按照每个运行阶段对应的目标运行图运行。所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突,即列车在维修区段的运行时间与维修区段的维修时间完全错开,避免运行时间和维修时间出现重合或交叉,可确保列车不会因为维修而中断,目标函数为列车的总运行时间最小,可提升线路的运输能力,实现列车的全天候运行。In order to realize the all-weather operation of the train, an all-weather operation method of the train is provided in the embodiment of the present application, which divides the all-day running time into multiple operation stages, and solves the target operation graph corresponding to each operation stage according to the objective function, and according to each The target running graph corresponding to the running phase runs. In the target running diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, that is, the running time of the train in the maintenance section and the maintenance time of the maintenance section are completely staggered, avoiding the running time and maintenance time Overlapping or crossing can ensure that the train will not be interrupted due to maintenance. The objective function is to minimize the total running time of the train, which can improve the transportation capacity of the line and realize the round-the-clock operation of the train.
本申请实施例中的方案可以采用各种计算机语言实现,例如,面向对象的程序设计语言Java和直译式脚本语言JavaScript,以及Python等。The solution in the embodiment of the present application can be realized by using various computer languages, for example, the object-oriented programming language Java, the literal translation scripting language JavaScript, and Python.
为了使本申请实施例中的技术方案及优点更加清楚明白,以下结合附图对本申请的示例性实施例进行进一步详细的说明,显然,所描述的实施例仅是本申请的一部分实施例,而不是所有实施例的穷举。需要说明的是,在不冲突的情况下,本申请中的实施例及实施例中的特征可以相互组合。In order to make the technical solutions and advantages in the embodiments of the present application clearer, the exemplary embodiments of the present application will be further described in detail below in conjunction with the accompanying drawings. Apparently, the described embodiments are only part of the embodiments of the present application, and Not an exhaustive list of all embodiments. It should be noted that, in the case of no conflict, the embodiments in the present application and the features in the embodiments can be combined with each other.
请参阅图1,本申请实施例提供了一种列车全天候运行方法,具体的该方法可以包括以下步骤。Please refer to FIG. 1 , the embodiment of the present application provides a method for running a train around the clock. Specifically, the method may include the following steps.
步骤110,将全天运行时间划分为多个运行阶段。 Step 110, divide the running time of the whole day into multiple running phases.
为了实现列车的全天候运行,采用分段单线双向运营模式,也就是基于一线行车一线维修方式的分段单线双向运行模式进行列车的运行。全天候运行是为了实现列车可以在白天和夜间进行运行,为了可以得到全天候运行的运行图,可以将全天运行时间划分为多个运行阶段,具体的,可以根据维修时段来划分,例如,可以是分为维修前阶段,上行维修阶段,下行维修阶段,以及维修后阶段。需要说明的是,此处的全天运行时间可以是指1天24h,也可以是指夜间运行时间。In order to realize the all-weather operation of the train, the segmented single-track bidirectional operation mode is adopted, that is, the segmented single-track bidirectional operation mode based on the first-line traffic and first-line maintenance mode is used for train operation. The all-weather operation is to realize that the train can run during the day and night. In order to obtain the operation diagram of the all-weather operation, the all-day operation time can be divided into multiple operation stages. Specifically, it can be divided according to the maintenance period. For example, it can be It is divided into pre-maintenance stage, uplink maintenance stage, downlink maintenance stage, and post-maintenance stage. It should be noted that the all-day running time here may refer to 24 hours a day, or may refer to nighttime running time.
当然,还可以根据其他的方式对运行时间进行划分,例如,可以是将全天运行时间按照一天24h均分为2个阶段,4个阶段等,可以根据实际的需要进行设置,在此不做具体限定。本申请实施例仅以维修前阶段,上行维修阶段,下行维修阶段以及维修后阶段为例进行详细说明。Of course, the running time can also be divided according to other methods. For example, the running time of the whole day can be divided into 2 stages, 4 stages, etc. according to 24 hours a day. It can be set according to actual needs, which will not be done here. Specific limits. The embodiment of the present application only takes the pre-maintenance stage, the uplink maintenance stage, the downlink maintenance stage and the post-maintenance stage as examples to describe in detail.
步骤120,获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合。 Step 120, obtaining the number of trains expected to depart in each operation phase, and the set of routes used by each train.
在得到划分的多个运行阶段后,获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合。进路通常可以分为到达进路,出发进路以及通过进路,具体可参照图2,示出了本申请实施例所采用的铁路路网结构。After obtaining the divided multiple operating stages, obtain the number of trains expected to depart in each operating stage, and the set of routes used by each train. Routes can generally be divided into arrival routes, departure routes and passing routes. For details, refer to FIG. 2 , which shows the railway network structure adopted in the embodiment of the present application.
路网由轨道、节点、信号机组成,可以清楚的反映列车在每节轨道上的占用情况。图2中的轨道按 顺序排列成进路,到达进路是同一车站内从进站信号机到出站信号的列车路径,出发进路是同一车站内出站信号机到车站边界点的列车路径,通过进路是车站边界点到相邻通过信号机或两相邻信号机间的列车径路。本申请实施例中以列车进路为列车占用的最小单元,即一条进路最多只能有一列列车占用。The road network is composed of tracks, nodes, and signals, which can clearly reflect the occupancy of trains on each track. The tracks in Figure 2 are arranged into routes in sequence, the arrival route is the train path from the incoming signal to the exit signal in the same station, and the departure route is the train path from the exit signal to the boundary point of the station in the same station , the passing route is the train path from the station boundary point to the adjacent passing signal machine or between two adjacent signal machines. In the embodiment of the present application, a train route is taken as the smallest unit occupied by a train, that is, a route can only be occupied by one train at most.
采用一线行车一线维修的模式,且终点和起点相同的情况下,经过维修任务的列车与未经过维修任务的列车,最大的区别在于列车经过的进路集合不同,即不经过维修任务的列车进路集合只包括原方向可能的进路,而经过维修任务的列车进路集合在维修任务所在的区间只包括对向方向可能的进路。具体可以参照图3,示出了不同运行阶段的进路示意图,其中(a)为维修前阶段,(b)为上行维修阶段,(c)为下行维修阶段,(d)为维修后阶段,图中实线表示该进路尚未进行维修,可以正常通行,虚线表示该进路正在维修,不能通行。在不考虑维修的情况下,即在维修前阶段,下行维修阶段,维修后阶段,上行列车r正常沿上行线路运行,其经过的进路集Br={Bs2,Bs4,Bs6}。而在上行维修阶段,即(b)中,列车r受维修影响需要改变线路,则其进路集Br={Bs1,Bs3,Bs5}。同理对于下行列车r,在维修前阶段,维修后阶段以及上行维修阶段,其经过的进路集Br={Bs1,Bs3,Bs5},在下行维修阶段,其经过的进路集Br={Bs2,Bs4,Bs6}。When the mode of first-line maintenance is adopted, and the end point and starting point are the same, the biggest difference between the trains that have passed the maintenance task and the trains that have not passed the maintenance task is that the set of routes that the train passes through is different, that is, the train that has not passed the maintenance task The road set only includes possible routes in the original direction, and the train route set that has passed the maintenance task only includes possible routes in the opposite direction in the interval where the maintenance task is located. Specifically, reference can be made to Fig. 3, which shows a schematic diagram of routes in different operation stages, where (a) is the pre-maintenance stage, (b) is the uplink maintenance stage, (c) is the downlink maintenance stage, and (d) is the post-maintenance stage. The solid line in the figure indicates that the route has not been repaired and can pass through normally, and the dotted line indicates that the route is under maintenance and cannot pass through. Without considering the maintenance, that is, in the pre-maintenance stage, downlink maintenance stage, and post-maintenance stage, the uplink train r normally runs along the uplink line, and the route set Br={Bs2, Bs4, Bs6} it passes through. In the uplink maintenance phase, ie (b), train r needs to change its route due to maintenance, and its route set Br={Bs1, Bs3, Bs5}. Similarly, for the downlink train r, in the pre-maintenance stage, post-maintenance stage, and uplink maintenance stage, its route set Br={Bs1, Bs3, Bs5}, and in the downlink maintenance stage, its route set Br={ Bs2, Bs4, Bs6}.
从而,可以为每个运行阶段设置对应的预计出发的列车数量以及列车经过的进路集合。Therefore, the number of trains that are expected to depart and the set of routes that the trains pass can be set for each operation stage.
步骤130,根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突。 Step 130, according to the number of trains in each operation stage and the set of routes, solve the objective function to obtain the target operation graph of each operation stage, the objective function indicates that the total running time of the train is the smallest, and in the target operation graph, The running time of the train in the maintenance section does not conflict with the maintenance time of the maintenance section.
在得到每个运行阶段的列车数量以及进路集合后,可以根据所述列车数量以及进路集合,求解目标函数得到每个运行阶段的目标运行图。After obtaining the number of trains and the set of routes in each operation stage, the objective function can be solved according to the number of trains and the set of routes to obtain the target operation diagram of each operation stage.
目标函数为预先建立的,表示列车的总运行时间的最小值。根据每个运行阶段的列车数量以及进路集合求解目标函数,可以得到在该列车数量以及进路集合下,求解得到列车的总运行时间的最小值,可以得到该运行阶段的运行图,即可以得到每辆列车在每个车站的达到时刻和出发时刻。The objective function is pre-established and represents the minimum value of the total running time of the train. Solving the objective function according to the number of trains and route set in each operation stage, we can obtain the minimum value of the total running time of the train under the number of trains and route set, and obtain the operation diagram of the operation stage, that is, Get the arrival and departure times of each train at each station.
目标运行图中的列车在维修区段的运行时间与维修区段的维修时间没有冲突。可以理解的是,维修区段在维修时间时,是不允许列车运行的,因此,列车在维修区段的运行时间与维修区段的维修时间没有冲突,可以确保列车安全运行。为了确保目标运行图中的雷车在维修区段的运行时间和维修区段的维修时间没有冲突,可以将求解目标函数得到运行图作为初始运行图,再对所述初始运行图进行可行性验证,在初始运行图通过可行性验证时,作为该运行阶段的目标运行图。The running time of the train in the maintenance section in the target operation diagram does not conflict with the maintenance time of the maintenance section. It can be understood that the train is not allowed to run during the maintenance time of the maintenance section. Therefore, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure the safe operation of the train. In order to ensure that there is no conflict between the running time of mine vehicles in the maintenance section and the maintenance time of the maintenance section in the target operation diagram, the operation diagram obtained by solving the objective function can be used as the initial operation diagram, and then the feasibility verification of the initial operation diagram can be carried out , when the initial operation graph passes the feasibility verification, it is used as the target operation graph of this operation stage.
在求解目标函数时,通常设置有多个约束条件,这些约束条件可以分为列车运行约束、运行途经进路约束以及列车进路顺序约束。When solving the objective function, multiple constraints are usually set, and these constraints can be divided into train operation constraints, running route constraints, and train route sequence constraints.
具体的,可以从所述多个运行阶段中确定目标运行阶段,根据目标运行阶段的列车数量以及进路集合,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解所述目标函数,得到所述目标运行阶段的初始运行图;根据目标运行阶段的列车数量以及进路集合,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解所述目标函数,得到所述目标运行阶段的初始运行图;对所述初始运行图进行可行性验证,得到验证结果,并根据所述验证结果确定所述目标运行阶段的目标运行图;在得到 所述目标运行阶段的目标运行图之后,返回执行从所述多个运行阶段中确定目标运行阶段的步骤,以得到每个运行阶段对应目标运行图。Specifically, the target operation stage can be determined from the multiple operation stages, and according to the number of trains and the route set in the target operation stage, the target is solved under the train operation constraint, the train route constraint and the train route order constraint. function to obtain the initial operation diagram of the target operation stage; according to the number of trains and the route set in the target operation stage, the objective function is solved under the train operation constraint, the train route constraint and the train route sequence constraint, and the obtained The initial operation diagram of the target operation stage; the feasibility verification of the initial operation diagram is carried out to obtain the verification result, and the target operation diagram of the target operation stage is determined according to the verification result; after obtaining the target of the target operation stage After the graph is run, return to the step of determining the target running phase from the multiple running phases, so as to obtain the target running graph corresponding to each running phase.
步骤140,在每个运行阶段按照每个运行阶段的目标运行图运行列车。Step 140, run the train in each operation stage according to the target operation diagram of each operation stage.
在得到每个运行阶段的目标运行图之后,由于目标运行图中,在维修区段的运行时间与维修时间没有冲突,从而每个运行阶段的目标运行图都是正确可行,从而,在每个运行阶段,可以按照对应目标运行图进行运行,从而可以实现列车的全天候运行。After obtaining the target operation diagram of each operation stage, since there is no conflict between the operation time of the maintenance section and the maintenance time in the target operation diagram, the target operation diagram of each operation stage is correct and feasible, thus, in each In the operation stage, the operation can be carried out according to the corresponding target operation diagram, so that the train can run around the clock.
运行图是表示列车在铁路区间运行及在车站到发或通过时刻的技术文件,在按照每个运行阶段的目标运行图进行运行时,可以是按照目标运行图中列车在车站的出发时刻,通过时刻等信息控制列车的运行,实现列车的全天候运行。The operation diagram is a technical document indicating the train's operation in the railway section and the arrival, departure or passing time at the station. Time and other information control the operation of the train to realize the all-weather operation of the train.
本申请实施例提供的列车全天候运行方法,将全天运行时间划分为多个运行阶段,根据目标函数求解各个运行阶段对应的目标运行图,并按照每个运行阶段对应的目标运行图运行。所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突,可确保列车不会因为维修而中断,目标函数为列车的总运行时间最小,可提升线路的运输能力,实现列车的全天候运行。The all-weather operation method of the train provided in the embodiment of the present application divides the running time of the whole day into multiple operation stages, solves the target operation diagram corresponding to each operation stage according to the objective function, and runs according to the target operation diagram corresponding to each operation stage. In the target operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance. The objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
请参阅图4,本申请另一实施例提供了一种列车全天候运行方法,在前述实施例的基础上重点描述了求解目标函数,得到每个运行阶段的运行图的过程,具体的该方法可包括以下步骤。Please refer to Fig. 4, another embodiment of the present application provides a kind of train all-weather running method, on the basis of foregoing embodiment, emphatically describes the process of solving the objective function, obtains the operation diagram of each operation phase, and concrete this method can be Include the following steps.
步骤210,将全天运行时间划分为多个运行阶段。 Step 210, divide the running time of the whole day into multiple running phases.
步骤220,获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合。In step 220, the number of trains expected to depart in each operation phase and the set of routes used by each train are obtained.
步骤210和步骤220可参照前述实施例对应部分,在此不再赘述。For step 210 and step 220, reference may be made to corresponding parts of the foregoing embodiments, and details are not repeated here.
步骤230,从所述多个运行阶段中确定目标运行阶段,所述目标运行阶段为没有对应的目标运行图,且时序最早的运行阶段。 Step 230 , determining a target operating phase from the plurality of operating phases, where the target operating phase has no corresponding target operating graph and has the earliest time sequence.
前述步骤将全天运行时间划分为多个运行阶段后,可以从所述多个运行阶段中确定目标运行阶段。其中,所述目标阶段为没有对应的目标运行图,且时序最早的运行阶段,例如,多个运行阶段按照时序排序依次为:阶段1,阶段2,阶段3和阶段4,这4个阶段均没有对应的目标运行图的阶段,从而,可以从这4个阶段中确认阶段1为所述目标运行阶段。若计算得到了阶段1的目标运行图,则从阶段2,阶段3,和阶段4中确定阶段2为所述目标阶段。After the aforementioned steps divide the whole day's running time into multiple running phases, the target running phase can be determined from the multiple running phases. Wherein, the target stage is an operation stage that has no corresponding target operation diagram and has the earliest time sequence. There is no corresponding phase of the target operation diagram, therefore, phase 1 can be confirmed as the target operation phase from the four phases. If the target operation diagram of stage 1 is obtained through calculation, stage 2 is determined as the target stage from stage 2, stage 3, and stage 4.
步骤240,根据目标运行阶段的列车数量以及进路集合,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解所述目标函数,得到所述目标运行阶段的初始运行图。 Step 240, according to the number of trains in the target operation stage and the set of routes, solve the objective function under the constraints of train operation, train passing routes and sequence of train routes to obtain the initial operation graph of the target operation stage.
在确定目标运行阶段后,可以根据所述目标运行阶段的列车数量以及进路集合,在多个约束条件下,求解目标函数得到所述目标运行阶段的初始运行图。After the target operation stage is determined, according to the number of trains and route sets in the target operation stage, the objective function can be solved to obtain the initial operation diagram of the target operation stage under multiple constraint conditions.
所述目标函数为:The objective function is:
Figure PCTCN2021141720-appb-000001
Figure PCTCN2021141720-appb-000001
其中,Z表示列车总运行时间;
Figure PCTCN2021141720-appb-000002
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000003
表示列车r使用进路b的开始时间。求解得到目标函数时,可以得到每个列车在每个进路的开始时间和结束时间,从而可以得到目标运行阶段的初始运行图。
Among them, Z represents the total running time of the train;
Figure PCTCN2021141720-appb-000002
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000003
Indicates the start time of train r using route b. When solving the objective function, the start time and end time of each train in each route can be obtained, so that the initial operation diagram of the target operation stage can be obtained.
在求解目标函数时,需要满足多个约束条件,多个约束条件包括列车运行约束、列车途经进路约束、以及列车顺序约束。下面详细说明每个约束。When solving the objective function, multiple constraint conditions need to be satisfied, and the multiple constraint conditions include train operation constraints, train route constraints, and train sequence constraints. Each constraint is detailed below.
列车运行约束是主要是对列车在进路的开始时间,在进路的结束时间,以及列车在车站的停站时间的约束。包括列车在进路的开始时间与列车是否使用所述进路的关系约束;列车在进路的结束时间与列车是否使用所述进路的关系约束;列车在进路的结束时间与列车在所述进路的开始时间的关系约束;列车在车站的停站时间约束。Train operation constraints are mainly constraints on the start time of the train on the route, the end time on the route, and the stop time of the train at the station. Including the relationship constraints between the start time of the train on the route and whether the train uses the route; the relationship constraints between the end time of the train on the route and whether the train uses the route; The relationship constraint of the start time of the route; the stop time constraint of the train at the station.
列车在进路的开始时间与列车是否使用所述进路的关系约束为:The relationship constraint between the start time of the train on the route and whether the train uses the route is:
Figure PCTCN2021141720-appb-000004
Figure PCTCN2021141720-appb-000004
其中,
Figure PCTCN2021141720-appb-000005
表示列车r使用进路b的开始时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;M为极大的常数;R表示列车集合;B r表示列车r使用的进路集合。
in,
Figure PCTCN2021141720-appb-000005
Indicates the start time of train r using route b; x r,b represent 0-1 variables, 1 means train r uses route b, 0 means train r does not use route b; M is a very large constant; R means train set; B r represents the route set used by train r.
列车在进路的结束时间与列车是否使用所述进路的关系约束为:The relationship constraint between the end time of the train on the route and whether the train uses the route is:
Figure PCTCN2021141720-appb-000006
Figure PCTCN2021141720-appb-000006
其中,
Figure PCTCN2021141720-appb-000007
表示列车r使用进路b的结束时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;M为极大的常数;;B r表示列车r使用的进路集合。
in,
Figure PCTCN2021141720-appb-000007
Indicates the end time of train r using route b; x r,b is expressed as a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; M is a very large constant;; B r represents the set of routes used by train r.
列车在进路的结束时间与列车在所述进路的开始时间的关系约束包括约束(3)至(10)。The relationship constraints between the end time of the train on the route and the start time of the train on the route include constraints (3) to (10).
Figure PCTCN2021141720-appb-000008
Figure PCTCN2021141720-appb-000008
其中,
Figure PCTCN2021141720-appb-000009
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000010
表示列车r使用进路b的开始时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;l表示轨道;L b表示进路b所包含的轨道集合;t r,l表示列车r在轨道l上以最大运行速度得到的运行时间,所述运行时间为整数;R表示列车集合;B r表示列车r使用的进路集合;B arrival表示列车进站进路集合,
Figure PCTCN2021141720-appb-000011
Figure PCTCN2021141720-appb-000012
表示在节点n的流出的进路集合;B m表示维修任务m所影响的进路集合,
Figure PCTCN2021141720-appb-000013
Figure PCTCN2021141720-appb-000014
表示列车r的起点;N boundary表示分界点集合,
Figure PCTCN2021141720-appb-000015
in,
Figure PCTCN2021141720-appb-000009
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000010
Indicates the start time of train r using route b; x r,b represent 0-1 variables, 1 means train r uses route b, 0 means train r does not use route b; l represents the track; L b represents the route The set of tracks contained in b; t r, l represent the running time obtained by train r at the maximum running speed on track l, and the running time is an integer; R represents the set of trains; B r represents the set of routes used by train r; Bar arrival means the collection of trains arriving at the station,
Figure PCTCN2021141720-appb-000011
Figure PCTCN2021141720-appb-000012
Indicates the set of outgoing routes at node n; B m represents the set of routes affected by maintenance task m,
Figure PCTCN2021141720-appb-000013
Figure PCTCN2021141720-appb-000014
Indicates the starting point of the train r; N boundary indicates the set of boundary points,
Figure PCTCN2021141720-appb-000015
约束(3)表示列车r在进路b走行时间应该为进路所包含的轨道l的走行时间t r,l。需要注意的是,列车r在起始车站出站时,需要有一定停站时间,故情况排除在外。同时设定的维修任务所在的线路可能会降速运行,需要单独考虑。 Constraint (3) indicates that the traveling time of train r on route b should be the traveling time t r,l of track l included in the route. It should be noted that when the train r leaves the station at the starting station, it needs to have a certain stop time, so the situation is excluded. At the same time, the line where the maintenance task is set may run at reduced speed, which needs to be considered separately.
Figure PCTCN2021141720-appb-000016
Figure PCTCN2021141720-appb-000016
其中,
Figure PCTCN2021141720-appb-000017
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000018
表示列车r使用进路b的开始时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;l表示轨道;L b表示进路b所包含的轨道集合;t r,l表示列车r在轨道l上以最大运行速度得到的运行时间,所述运行时间为整数;γ为0-1关系参数,为1表示当前阶段处于维修阶段,为0表示当前阶段没有维修任务;θ表示邻线维修时的运行 速度系数,θ>1;R表示列车集合;B r表示列车r使用的进路集合;B arrival表示列车进站进路集合,
Figure PCTCN2021141720-appb-000019
Figure PCTCN2021141720-appb-000020
表示在节点n的流出的进路集合;B m表示维修任务m所影响的进路集合,
Figure PCTCN2021141720-appb-000021
Figure PCTCN2021141720-appb-000022
表示列车r的起点;N boundary表示分界点集合,
Figure PCTCN2021141720-appb-000023
in,
Figure PCTCN2021141720-appb-000017
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000018
Indicates the start time of train r using route b; x r,b represent 0-1 variables, 1 means train r uses route b, 0 means train r does not use route b; l represents the track; L b represents the route The set of tracks contained in b; t r, l represents the running time of train r at the maximum running speed on track l, and the running time is an integer; γ is a 0-1 relational parameter, and 1 means that the current stage is in the maintenance stage , which is 0 means that there is no maintenance task in the current stage; θ means the operating speed coefficient of adjacent line maintenance, θ>1; R means the set of trains; B r means the set of routes used by train r; B arrival means the set of train arrival routes ,
Figure PCTCN2021141720-appb-000019
Figure PCTCN2021141720-appb-000020
Indicates the set of outgoing routes at node n; B m represents the set of routes affected by maintenance task m,
Figure PCTCN2021141720-appb-000021
Figure PCTCN2021141720-appb-000022
Indicates the starting point of the train r; N boundary indicates the set of boundary points,
Figure PCTCN2021141720-appb-000023
约束(4)与约束(3)类似,是列车r在经过设定的维修任务所影响的进路b的结束时间和开始时间的关系约束,如果此时正处于维修阶段(包括上行维修阶段或下行维修阶段),则运行时间需要乘以给定系数,降低运行速度,确保邻线维修安全。Constraint (4) is similar to constraint (3), it is the relationship constraint between the end time and start time of route b affected by the set maintenance task of train r, if it is in the maintenance phase (including up maintenance phase or downlink maintenance stage), the running time needs to be multiplied by a given coefficient to reduce the running speed to ensure the safety of adjacent line maintenance.
Figure PCTCN2021141720-appb-000024
Figure PCTCN2021141720-appb-000024
其中,表示列车r在轨道l上以最大运行速度得到的运行时间;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000025
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000026
表示列车r使用进路b的开始时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;t r,l表示列车r在轨道l上以最大运行速度得到的运行时间,所述运行时间为整数;stop r,s表示列车r在车站s的实际停站时间;
Figure PCTCN2021141720-appb-000027
表示列车r起点;N boundary表示分界点集合。
Among them, represents the running time of train r at the maximum running speed on track l; B r represents the route set used by train r;
Figure PCTCN2021141720-appb-000025
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000026
Indicates the start time of train r using route b; x r, b is expressed as a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b; t r, l means train r is on track The running time obtained with the maximum running speed on l, the running time is an integer; stop r, s represents the actual stop time of train r at station s;
Figure PCTCN2021141720-appb-000027
Indicates the starting point of train r; N boundary indicates the set of dividing points.
约束(5)为列车r出站进路走行时间约束,和列车r在出站点n所在车站的实际停站时间,在分界点始发列车的进路运行时间计算被排除在外。Constraint (5) is the travel time constraint of train r leaving the station, and the actual stop time of train r at the station where station n is located, and the calculation of the running time of the train starting at the demarcation point is excluded.
Figure PCTCN2021141720-appb-000028
Figure PCTCN2021141720-appb-000028
其中,
Figure PCTCN2021141720-appb-000029
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000030
表示列车r使用进路b的开始时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;l表示轨道;L b表示进路b所包含的轨道集合;c b表示进路b所包含的轨道组集合;t r,l表示列车r在轨道l上以最大运行速度得到的运行时间,所述运行时间为整数;R表示列车集合;B r表示列车r使用的进路集合;B arrival表示列车进站进路集合,
Figure PCTCN2021141720-appb-000031
in,
Figure PCTCN2021141720-appb-000029
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000030
Indicates the start time of train r using route b; x r,b represent 0-1 variables, 1 means train r uses route b, 0 means train r does not use route b; l represents the track; L b represents the route The set of tracks contained in b; c b represents the set of track groups contained in route b; t r,l represents the running time of train r on track l at the maximum running speed, and the running time is an integer; R represents train set; B r represents the set of routes used by train r; B arrival represents the set of train arrival routes,
Figure PCTCN2021141720-appb-000031
约束(6)也就是列车r进路b走行时间为进路所包含的轨道的走行时间,不包含最后一段轨道
Figure PCTCN2021141720-appb-000032
(在到发线上的)走行时间。该情况还包含列车起始节点为分界点的进站情况。
Constraint (6) means that the travel time of train r route b is the travel time of the track included in the route, excluding the last track
Figure PCTCN2021141720-appb-000032
(on the arrival and departure line) travel time. This case also includes the case where the starting node of the train is the demarcation point and enters the station.
Figure PCTCN2021141720-appb-000033
Figure PCTCN2021141720-appb-000033
其中,
Figure PCTCN2021141720-appb-000034
表示在节点n的流出的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000035
表示列车r使用进路b的开始时间;
Figure PCTCN2021141720-appb-000036
表示列车r在起点
Figure PCTCN2021141720-appb-000037
的可能最晚出发时间。
in,
Figure PCTCN2021141720-appb-000034
Indicates the set of outgoing routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000035
Indicates the start time of train r using route b;
Figure PCTCN2021141720-appb-000036
Indicates that the train r is at the starting point
Figure PCTCN2021141720-appb-000037
The latest possible departure time.
约束(7)表示列车r在起始节点
Figure PCTCN2021141720-appb-000038
最早可能离开时间。
Constraint (7) means that train r is at the starting node
Figure PCTCN2021141720-appb-000038
Earliest possible departure time.
Figure PCTCN2021141720-appb-000039
Figure PCTCN2021141720-appb-000039
其中,
Figure PCTCN2021141720-appb-000040
表示在节点n的流出的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000041
表示列车r使用进路b的开始时间;
Figure PCTCN2021141720-appb-000042
表示列车r在起点
Figure PCTCN2021141720-appb-000043
的可能最早出发时间。
in,
Figure PCTCN2021141720-appb-000040
Indicates the set of outgoing routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000041
Indicates the start time of train r using route b;
Figure PCTCN2021141720-appb-000042
Indicates that the train r is at the starting point
Figure PCTCN2021141720-appb-000043
earliest possible departure time.
约束(8)表示列车r在起始节点
Figure PCTCN2021141720-appb-000044
最晚可能离开时间。
Constraint (8) means that train r is at the starting node
Figure PCTCN2021141720-appb-000044
Latest possible departure time.
Figure PCTCN2021141720-appb-000045
Figure PCTCN2021141720-appb-000045
Figure PCTCN2021141720-appb-000046
Figure PCTCN2021141720-appb-000046
其中,
Figure PCTCN2021141720-appb-000047
表示在节点n的流入的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000048
表示列车r使用进路b`的结束时间;
Figure PCTCN2021141720-appb-000049
表示在节点n的流出的进路结合;
Figure PCTCN2021141720-appb-000050
表示列车r使用进路b的开始时间;N r表示列车r可能途径的节点集合,列车起点和终点除外,
Figure PCTCN2021141720-appb-000051
N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000052
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000053
Figure PCTCN2021141720-appb-000054
表示列车r可能途经的特殊节点集合,
Figure PCTCN2021141720-appb-000055
Figure PCTCN2021141720-appb-000056
表示列车r的起点;
Figure PCTCN2021141720-appb-000057
表示列车r的终点。
in,
Figure PCTCN2021141720-appb-000047
Indicates the set of incoming routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000048
Indicates the end time of train r using route b`;
Figure PCTCN2021141720-appb-000049
Indicates the outbound access combination at node n;
Figure PCTCN2021141720-appb-000050
Indicates the start time of train r using route b; N r indicates the set of nodes that train r may pass through, except the starting point and end point of the train,
Figure PCTCN2021141720-appb-000051
N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes,
Figure PCTCN2021141720-appb-000052
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000053
Figure PCTCN2021141720-appb-000054
Indicates the set of special nodes that train r may pass through,
Figure PCTCN2021141720-appb-000055
Figure PCTCN2021141720-appb-000056
Indicates the starting point of train r;
Figure PCTCN2021141720-appb-000057
Indicates the end point of train r.
由于进站进路需要提前解锁,故进路的结束时间会被提前,约束(9)只分析不需要提前解锁的进路与其下一进路间时间的接续关系。也就是列车r在其可能途径节点n相邻的进路间,下一进路b`开始时间等于上一进路b结束时间。Since the entry route needs to be unlocked in advance, the end time of the route will be advanced. Constraint (9) only analyzes the time continuation relationship between the route that does not need to be unlocked in advance and the next route. That is to say, between the adjacent routes of train r on its possible path node n, the start time of the next route b` is equal to the end time of the previous route b.
Figure PCTCN2021141720-appb-000058
Figure PCTCN2021141720-appb-000058
其中,N s表示车站s的节点结合,
Figure PCTCN2021141720-appb-000059
N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000060
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000061
Figure PCTCN2021141720-appb-000062
表示列车r可能途经的特殊节点集合,
Figure PCTCN2021141720-appb-000063
Figure PCTCN2021141720-appb-000064
表示在节点n的流入的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000065
表示列车r使用进路b`的结束时间;stop r,s表示列车r在车站s的实际停站时间;x r,b′表示为0-1变量,1表示列车r使用进路b′,0表示列车r不使用进路b′;
Figure PCTCN2021141720-appb-000066
表示表示列车r在进路b′上以最大运行速度得到的运行时间;c b′表示进路b′所包含的轨道组集合;
Figure PCTCN2021141720-appb-000067
表示在节点n的流出的进路集合;
Figure PCTCN2021141720-appb-000068
表示列车r使用进路b的开始时间。
where N s represents the node combination of station s,
Figure PCTCN2021141720-appb-000059
N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes,
Figure PCTCN2021141720-appb-000060
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000061
Figure PCTCN2021141720-appb-000062
Indicates the set of special nodes that train r may pass through,
Figure PCTCN2021141720-appb-000063
Figure PCTCN2021141720-appb-000064
Indicates the set of incoming routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000065
Indicates the end time of train r using route b`; stop r, s indicates the actual stop time of train r at station s; x r, b' is expressed as a 0-1 variable, 1 indicates that train r uses route b', 0 means train r does not use route b′;
Figure PCTCN2021141720-appb-000066
Indicates the running time of train r at the maximum running speed on route b'; c b' represents the set of track groups contained in route b';
Figure PCTCN2021141720-appb-000067
Indicates the set of outgoing routes at node n;
Figure PCTCN2021141720-appb-000068
Indicates the start time of train r using route b.
由于进站进路需要提前解锁,故进路的结束时间会被提前。约束(10)中,进路会提前解锁,所以进路与其下一进路间时间的接续关系间需要加上进路最后一段轨道的走行时间和在连接点所在车站的停站时间。Since the entry route needs to be unlocked in advance, the end time of the route will be advanced. In constraint (10), the route will be unlocked in advance, so the running time of the last track of the route and the stop time at the station where the connection point is located need to be added to the time continuation relationship between the route and its next route.
列车在车站的停站时间约束包括约束(11)和约束(12)。The stop time constraints of the train at the station include constraint (11) and constraint (12).
Figure PCTCN2021141720-appb-000069
Figure PCTCN2021141720-appb-000069
其中,stop r,s表示列车r在车站s的实际停站时间;dwell r,s表示列车r在车站s的计划停站时间;S r表示列车r可能途径的车站集合,起点和终点车站除外;
Figure PCTCN2021141720-appb-000070
表示列车r的起始车站,
Figure PCTCN2021141720-appb-000071
表示列车r的终到车站;S表示车站集合,用s索引,即s∈S。
Among them, stop r, s represents the actual stop time of train r at station s; dwell r, s represents the planned stop time of train r at station s; S r represents the set of stations that train r may pass through, except the start and end stations ;
Figure PCTCN2021141720-appb-000070
represents the starting station of train r,
Figure PCTCN2021141720-appb-000071
Represents the terminal station of train r; S represents the set of stations, indexed by s, that is, s∈S.
约束(11)为列车r在车站s的基本停站时间要求。Constraint (11) is the basic stop time requirement of train r at station s.
Figure PCTCN2021141720-appb-000072
Figure PCTCN2021141720-appb-000072
其中,stop r,s表示列车r在车站s的实际停站时间;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;M表示极大的常数;N main表示车站内有信号机的正线节点集合,即为进路 之间连接的节点;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000073
表示在节点n的流入的进路集合;s n表示节点n所在的车站s;S r表示列车r可能途径的车站集合,起点和终点车站除外;
Figure PCTCN2021141720-appb-000074
表示列车r的起始车站,
Figure PCTCN2021141720-appb-000075
表示列车r的终到车站。
Among them, stop r, s represents the actual stop time of train r at station s; x r, b represents a 0-1 variable, 1 represents that train r uses route b, 0 represents that train r does not use route b; M represents A very large constant; N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000073
Indicates the set of incoming routes at node n; s n indicates the station s where node n is located; S r indicates the set of stations that train r may pass through, except for the start and end stations;
Figure PCTCN2021141720-appb-000074
represents the starting station of train r,
Figure PCTCN2021141720-appb-000075
Indicates the terminal station of train r.
约束(11)中列车r通过正线通过车站时,停站时间为0;列车r侧线通过车站时,存在停站时间。In constraint (11), when the train r passes the station on the main line, the stop time is 0; when the train r passes the station on the side line, there is a stop time.
列车途经进路约束包括对列车途经的进路的数量的约束,以保证列车选择唯一的进路。具体的包括约束(13)-(16)。The train-passing route constraints include constraints on the number of train-traveling routes, so as to ensure that the train selects a unique route. Specifically, constraints (13)-(16) are included.
Figure PCTCN2021141720-appb-000076
Figure PCTCN2021141720-appb-000076
其中,
Figure PCTCN2021141720-appb-000077
表示在节点n的流出的进路结合;B r表示列车r使用的进路集合;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000078
表示列车r起点;R表示列车集合。
in,
Figure PCTCN2021141720-appb-000077
Indicates the route combination of the outflow at node n; B r represents the route set used by train r; x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b;
Figure PCTCN2021141720-appb-000078
Indicates the starting point of train r; R indicates the set of trains.
Figure PCTCN2021141720-appb-000079
Figure PCTCN2021141720-appb-000079
其中,
Figure PCTCN2021141720-appb-000080
表示在节点n的流入的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000081
表示列车r的终点;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000082
表示列车r终点;R表示列车集合。
in,
Figure PCTCN2021141720-appb-000080
Indicates the set of incoming routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000081
Indicates the end point of train r; x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b;
Figure PCTCN2021141720-appb-000082
Indicates the end point of train r; R indicates the set of trains.
Figure PCTCN2021141720-appb-000083
Figure PCTCN2021141720-appb-000083
其中,
Figure PCTCN2021141720-appb-000084
表示在节点n的流出的进路结合;B r表示列车r使用的进路集合;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000085
表示在节点n的流入的进路集合;
Figure PCTCN2021141720-appb-000086
表示列车r起点;
Figure PCTCN2021141720-appb-000087
表示列车r终点;R表示列车集合。
in,
Figure PCTCN2021141720-appb-000084
Indicates the route combination of the outflow at node n; B r represents the route set used by train r; x r, b is expressed as a 0-1 variable, 1 means that train r uses route b, and 0 means that train r does not use route b;
Figure PCTCN2021141720-appb-000085
Indicates the set of incoming routes at node n;
Figure PCTCN2021141720-appb-000086
Indicates the starting point of the train r;
Figure PCTCN2021141720-appb-000087
Indicates the end point of train r; R indicates the set of trains.
Figure PCTCN2021141720-appb-000088
Figure PCTCN2021141720-appb-000088
其中,N s表示车站s的节点结合,
Figure PCTCN2021141720-appb-000089
N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000090
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000091
Figure PCTCN2021141720-appb-000092
表示在节点n的流入的进路集合;B r表示列车r使用的进路集合;x r,b′表示为0-1变量,1表示列车r使用进路b`,0表示列车r不使用进路b`;S r表示列车r可能途径的车站集合,起点和终点车站除外;R表示列车集合。
where N s represents the node combination of station s,
Figure PCTCN2021141720-appb-000089
N siding represents the set of side line nodes with signals in the station, that is, the nodes connected between the routes,
Figure PCTCN2021141720-appb-000090
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000091
Figure PCTCN2021141720-appb-000092
Indicates the set of incoming routes at node n; B r represents the route set used by train r; x r, b' is expressed as a 0-1 variable, 1 means that train r uses route b`, and 0 means that train r does not use Route b`; S r represents the set of stations that train r may pass through, except the start and end stations; R represents the set of trains.
其中,约束(13)表示列车r在初始节点
Figure PCTCN2021141720-appb-000093
有且仅选择一条进路;约束(14)表示列车r在终到节点
Figure PCTCN2021141720-appb-000094
有且仅选择一条进路;约束(15)表示在列车r途经节点n,流入进路数量等于流出进路数量;约束(16)表示在列车r途经车站s,进站进路的总数量只能为1。
Among them, constraint (13) means that the train r is at the initial node
Figure PCTCN2021141720-appb-000093
There is and only one route is selected; constraint (14) means that train r arrives at node
Figure PCTCN2021141720-appb-000094
There is and only one route is selected; constraint (15) means that when train r passes through node n, the number of inflow routes is equal to the number of outflow routes; constraint (16) means that when train r passes through station s, the total number of inbound routes is only Can be 1.
进路顺序约束包括列车在通过进路以及出站进路的顺序约束,列车在进站进路的顺序约束,以及列车在车站不同初始位置的顺序约束。其中,列车在通过进路以及出站进路的顺序约束包括约束(17)-(21);列车在进站进路的顺序约束包括(22)-(23);列车在车站不同初始位置的顺序约束包括约束(24)-(27)。The sequence constraints of the route include the sequence constraints of the trains passing through and out of the station, the sequence constraints of the trains entering the station, and the sequence constraints of the different initial positions of the trains at the station. Among them, the sequence constraints of trains passing through and out of the station include constraints (17)-(21); the sequence constraints of trains entering the station include (22)-(23); the trains at different initial positions at the station Order constraints include constraints (24)-(27).
Figure PCTCN2021141720-appb-000095
Figure PCTCN2021141720-appb-000095
其中,x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;M为极大的常数;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000096
表示列车r′使用进路b′的开始时间;
Figure PCTCN2021141720-appb-000097
表示列车r使用进路b的结束时间;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000098
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000099
B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000100
表示在节点n 1的流入的进路集合;
Figure PCTCN2021141720-appb-000101
表示在节点n 1的流出的进路集合;
Figure PCTCN2021141720-appb-000102
表示在节点n 2的流入的进路集合;
Figure PCTCN2021141720-appb-000103
表示在节点n 2的流出的进路集合;ε b,b′为0-1关系参数,为1表示进路b和进路b′之间存在冲突关系。
Among them, x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; M is a very large constant; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000096
Indicates the start time of train r' using route b';
Figure PCTCN2021141720-appb-000097
Indicates the end time of train r using route b; μ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is before the time when train r' uses route b' , that is, it indicates the order of the trains on the conflicting route, otherwise it is 0; N siding indicates the set of side line nodes with signals in the station, that is, the nodes connected between the routes,
Figure PCTCN2021141720-appb-000098
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000099
B r represents the route set used by train r;
Figure PCTCN2021141720-appb-000100
Indicates the set of incoming routes at node n 1 ;
Figure PCTCN2021141720-appb-000101
Indicates the set of outgoing routes at node n 1 ;
Figure PCTCN2021141720-appb-000102
Indicates the set of incoming routes at node n 2 ;
Figure PCTCN2021141720-appb-000103
Indicates the set of outgoing routes at node n 2 ; ε b, b' is a 0-1 relationship parameter, and 1 indicates that there is a conflict relationship between route b and route b'.
约束(17)表示当列车r和r′使用冲突进路b和b′后,列车r′进路开始时间晚于列车r进路结束时间。进路b和b′的关系为以下几种情况:(1)同为进站进路,但终到节点不一样,(2)同为出站进路,但起始节点不一样;(3)一个进路为出站进路,另一进路为进站进路,出站进路的起始节点和进站进路的终到节点不一样。Constraint (17) means that when train r and r' use conflicting routes b and b', the start time of train r' route is later than the end time of train r route. The relationship between routes b and b′ is as follows: (1) they are both inbound routes, but their final nodes are different; (2) they are both outbound routes, but their starting nodes are different; (3) ) One route is an outbound route, and the other route is an inbound route. The start node of the outbound route is different from the end node of the inbound route.
Figure PCTCN2021141720-appb-000104
Figure PCTCN2021141720-appb-000104
其中,x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;M为极大的常数;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000105
表示列车r使用进路b的开始时间;
Figure PCTCN2021141720-appb-000106
表示列车r′使用进路b′的结束时间;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000107
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000108
B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000109
表示在节点n 1的流入的进路集合;
Figure PCTCN2021141720-appb-000110
表示在节点n 1的流出的进路集合;
Figure PCTCN2021141720-appb-000111
表示在节点n 2的流入的进路集合;
Figure PCTCN2021141720-appb-000112
表示在节点n 2的流出的进路集合;ε b,b′为0-1关系参数,为1表示进路b和进路b′之间存在冲突关系。
Among them, x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; M is a very large constant; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000105
Indicates the start time of train r using route b;
Figure PCTCN2021141720-appb-000106
Indicates the end time of train r' using route b'; μ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is the time when train r' uses route b' Before the time, that is to say, it indicates the order of the trains on the conflicting route, and it is 0, otherwise; N siding indicates the set of side line nodes with signal machines in the station, which is the node connected between the routes,
Figure PCTCN2021141720-appb-000107
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000108
B r represents the route set used by train r;
Figure PCTCN2021141720-appb-000109
Indicates the set of incoming routes at node n 1 ;
Figure PCTCN2021141720-appb-000110
Indicates the set of outgoing routes at node n 1 ;
Figure PCTCN2021141720-appb-000111
Indicates the set of incoming routes at node n 2 ;
Figure PCTCN2021141720-appb-000112
Indicates the set of outgoing routes at node n 2 ; ε b, b' is a 0-1 relationship parameter, and 1 indicates that there is a conflict relationship between route b and route b'.
约束(18)表示当列车r和r′使用冲突出站进路b和b′后,列车r进路开始时间晚于列车r′进路结束时间。进路b和b′的关系为以下几种情况:(1)同为进站进路,但终到节点不一样,(2)同为出站进路,但起始节点不一样;(3)一个进路为出站进路,另一进路为进站进路,出站进路的起始节点和进站进路的终到节点不一样。Constraint (18) means that when trains r and r' use conflicting outbound routes b and b', the start time of train r's route is later than the end time of train r' route. The relationship between routes b and b′ is as follows: (1) they are both inbound routes, but their final nodes are different; (2) they are both outbound routes, but their starting nodes are different; (3) ) One route is an outbound route, and the other route is an inbound route. The start node of the outbound route is different from the end node of the inbound route.
Figure PCTCN2021141720-appb-000113
Figure PCTCN2021141720-appb-000113
其中,x r′,b表示为0-1变量,1表示列车r′使用进路b,0表示列车r′不使用进路b;x r,b表示为0-1 变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000114
表示列车r′使用进路b的开始时间;
Figure PCTCN2021141720-appb-000115
表示列车r使用进路b的结束时间;M表示极大的常数;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;B r表示列车r使用的进路集合;B r′表示列车r′使用的进路集合。
Among them, x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, 0 means that train r' does not use route b; x r, b is expressed as a 0-1 variable, 1 means that train r Use route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000114
Indicates the start time of train r′ using route b;
Figure PCTCN2021141720-appb-000115
Indicates the end time of train r using route b; M represents a very large constant; μ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is used in train r' Before the time of route b′, that is to say, it indicates the order of the trains on the conflicting route, if it is 0, otherwise; B r represents the route set used by train r; B r′ represents the route set used by train r’.
约束(19)表示当列车r和r′使用同一进路,列车r′进路开始时间晚于列车r进路结束时间。Constraint (19) means that when train r and r' use the same route, the start time of train r' route is later than the end time of train r route.
Figure PCTCN2021141720-appb-000116
Figure PCTCN2021141720-appb-000116
其中,x r′,b表示为0-1变量,1表示列车r′使用进路b,0表示列车r′不使用进路b;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000117
表示列车r使用进路b的开始时间;
Figure PCTCN2021141720-appb-000118
表示列车r′使用进路b的结束时间;M表示极大的常数;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;B r表示列车r使用的进路集合;B r′表示列车r′使用的进路集合。
Among them, x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, and 0 means that train r' does not use route b; x r, b is expressed as a 0-1 variable, 1 means that train r Use route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000117
Indicates the start time of train r using route b;
Figure PCTCN2021141720-appb-000118
Indicates the end time of train r' using route b; M represents a very large constant; μ r, b, r', b' represent 0-1 variables, and 1 means that the time when train r uses route b is within train r' Before the time when route b' is used, that is, it indicates the sequence of the trains on the conflicting route, and it is 0, otherwise; B r represents the route set used by train r; B r' represents the route set used by train r'.
约束(20)表示当列车r和r′使用同一进路,列车r进路开始时间晚于列车r`进路结束时间。Constraint (20) means that when train r and r' use the same route, the start time of train r' route is later than the end time of train r' route.
Figure PCTCN2021141720-appb-000119
Figure PCTCN2021141720-appb-000119
其中,μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r□使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;μ r,b′,r′,b′表示0-1变量,为1表示列车r使用进路b′的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之。 Among them, μ r, b, r′, b′ represent 0-1 variables, and 1 means that the time when train r uses route b is before the time when train r uses route b′, which means that the train is on the conflicting route If it is 0, otherwise; μ r,b',r',b' represent 0-1 variables, and if it is 1, it means that the time when train r uses route b' is before the time when train r' uses route b', That is to say, it indicates the sequence of the trains on the conflicting route, if it is 0, otherwise.
约束(21)表示当列车r和r′使用冲突出站进路b和b′后,由进路为区间进路,列车顺序不发生改变。Constraint (21) means that when trains r and r' use conflicting outbound routes b and b', the route will be changed to an interval route, and the sequence of trains will not change.
Figure PCTCN2021141720-appb-000120
Figure PCTCN2021141720-appb-000120
其中,M为极大的常数;x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000121
表示列车r′使用进路b′的开始时间;
Figure PCTCN2021141720-appb-000122
表示列车r使用进路b的结束时间;stop r,s表示列车r在车站s的实际停站时间;
Figure PCTCN2021141720-appb-000123
表示表示列车r在进路b上以最大运行速度得到的运行时间;c b表示进路b所包含的轨道组集合;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000124
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000125
B r表示列车r使用的进路集合;B r′表示列车r′使用的进路集合;
Figure PCTCN2021141720-appb-000126
表示在节点n的流入的进路集合;s n表示节点n所在的车站s;S r表示列车r可能途径的车站集合,起点和终点车站除外;
Figure PCTCN2021141720-appb-000127
表示列车r的起始车站;
Figure PCTCN2021141720-appb-000128
表示列车r的终到车站。
Among them, M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000121
Indicates the start time of train r' using route b';
Figure PCTCN2021141720-appb-000122
Indicates the end time of train r using route b; stop r, s indicates the actual stop time of train r at station s;
Figure PCTCN2021141720-appb-000123
Indicates the running time of train r at the maximum running speed on route b; c b represents the set of track groups contained in route b; μ r, b, r', b' represent 0-1 variables, and 1 means The time when train r uses route b is before the time when train r' uses route b', that is to say, it indicates the sequence of trains on the conflicting route, and vice versa; N siding indicates the set of side line nodes with signal machines in the station, is the node connected between the routes,
Figure PCTCN2021141720-appb-000124
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000125
B r represents the set of routes used by train r; B r' represents the set of routes used by train r';
Figure PCTCN2021141720-appb-000126
Indicates the set of incoming routes at node n; s n indicates the station s where node n is located; S r indicates the set of stations that train r may pass through, except for the start and end stations;
Figure PCTCN2021141720-appb-000127
Indicates the starting station of train r;
Figure PCTCN2021141720-appb-000128
Indicates the terminal station of train r.
约束(22)表示当列车r和r′使用冲突进站进路b和b′后,且进路b和b′的终点节点一样,列车r′进路开始时间晚于列车r进路结束时间加列车停站时间、最后一段轨道运行时间。Constraint (22) means that when trains r and r' use conflicting routes b and b', and the end nodes of routes b and b' are the same, the start time of train r' route is later than the end time of train r route Add the train stop time and the last track running time.
Figure PCTCN2021141720-appb-000129
Figure PCTCN2021141720-appb-000129
其中,M为极大的常数;x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000130
表示列车r使用进路b的开始时间;
Figure PCTCN2021141720-appb-000131
表示列车r′使用进路b′的结束时间;stop r′,s表示列车r′在车站s的实际停站时间;
Figure PCTCN2021141720-appb-000132
表示表示列车r′在进路b′上以最大运行速度得到的运行时间;c b′表示进路b′所包含的轨道组集合;μ r,b,r′,b′表示0-1变量,为1表示列车r使用进路b的时间在列车r′使用进路b′的时间之前,也就是表明列车在冲突进路上的先后顺序,为0反之;N siding表示车站内有信号机的侧线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000133
N main表示车站内有信号机的正线节点集合,即为进路之间连接的节点,
Figure PCTCN2021141720-appb-000134
B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000135
表示在节点n的流入的进路集合;s n表示节点n所在的车站s;S r表示列车r可能途径的车站集合,起点和终点车站除外;
Figure PCTCN2021141720-appb-000136
表示列车r的起始车站;
Figure PCTCN2021141720-appb-000137
表示列车r的终到车站。
Among them, M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000130
Indicates the start time of train r using route b;
Figure PCTCN2021141720-appb-000131
Indicates the end time of train r' using route b'; stop r', s indicates the actual stop time of train r' at station s;
Figure PCTCN2021141720-appb-000132
Indicates the running time of train r' at the maximum running speed on route b'; c b' represents the set of track groups contained in route b'; μ r, b, r', b' represent 0-1 variables , is 1, which means that the time when train r uses route b is before the time when train r' uses route b', that is, it indicates the sequence of trains on the conflicting route, and is 0 otherwise; N siding means that there is a signal machine in the station The set of sideline nodes is the nodes connected between approaches,
Figure PCTCN2021141720-appb-000133
N main represents the set of main line nodes with signal machines in the station, that is, the nodes connected between routes,
Figure PCTCN2021141720-appb-000134
B r represents the route set used by train r;
Figure PCTCN2021141720-appb-000135
Indicates the set of incoming routes at node n; s n indicates the station s where node n is located; S r indicates the set of stations that train r may pass through, except for the start and end stations;
Figure PCTCN2021141720-appb-000136
Indicates the starting station of train r;
Figure PCTCN2021141720-appb-000137
Indicates the terminal station of train r.
约束(23)表示当列车r和r′使用冲突进站进路b和b′后,且进路b和b′的终点节点一样,列车r进路开始时间晚于列车r`进路结束时间加列车停站时间、最后一段轨道运行时间。Constraint (23) means that when trains r and r' use conflicting routes b and b', and the end nodes of routes b and b' are the same, the start time of train r's route is later than the end time of train r' route Add the train stop time and the last track running time.
Figure PCTCN2021141720-appb-000138
Figure PCTCN2021141720-appb-000138
其中,M为极大的常数;x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;
Figure PCTCN2021141720-appb-000139
表示列车r′使用进路b′的开始时间;
Figure PCTCN2021141720-appb-000140
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000141
表示在节点n的流出的进路集合;B r表示列车r使用的进路集合;stop r,s表示列车r在车站s的实际停站时间;
Figure PCTCN2021141720-appb-000142
表示列车r的起始车站;B r′表示列车r′使用的进路集合;
Figure PCTCN2021141720-appb-000143
表示在节点n的流入的进路集合;
Figure PCTCN2021141720-appb-000144
表示列车r起点;
Figure PCTCN2021141720-appb-000145
表示列车r可能途经的特殊节点集合,
Figure PCTCN2021141720-appb-000146
Figure PCTCN2021141720-appb-000147
表示列车r的特殊起点车站,表明在该车站,列车的起始节点是在车站与区间的分界口处,也就是列车是从分界口处进入车站的。
Among them, M is a very large constant; x r', b' are expressed as 0-1 variables, 1 means that train r' uses route b', and 0 means that train r' does not use route b';
Figure PCTCN2021141720-appb-000139
Indicates the start time of train r' using route b';
Figure PCTCN2021141720-appb-000140
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000141
Indicates the outflow route set at node n; B r represents the route set used by train r; stop r, s represents the actual stop time of train r at station s;
Figure PCTCN2021141720-appb-000142
Indicates the starting station of train r; B r'indicates the set of routes used by train r';
Figure PCTCN2021141720-appb-000143
Indicates the set of incoming routes at node n;
Figure PCTCN2021141720-appb-000144
Indicates the starting point of the train r;
Figure PCTCN2021141720-appb-000145
Indicates the set of special nodes that train r may pass through,
Figure PCTCN2021141720-appb-000146
Figure PCTCN2021141720-appb-000147
Indicates the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary.
约束(24)表示当列车r在初始节点
Figure PCTCN2021141720-appb-000148
且该节点为出站信号机所在处出发,列车r使用出站进路b,列车r′使用与b冲突的进站进路b′时,列车r′进路开始时间晚于列车r进路开始时间加列车停站时间。
Constraint (24) means that when the train r is at the initial node
Figure PCTCN2021141720-appb-000148
And this node departs from the place where the exit signal is located, train r uses the exit route b, and train r′ uses the inbound route b’ that conflicts with b, the start time of the train r’ route is later than that of the train r route Start time plus train stop time.
Figure PCTCN2021141720-appb-000149
Figure PCTCN2021141720-appb-000149
其中,M为极大的常数;x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;
Figure PCTCN2021141720-appb-000150
表示列车r′使用进路b′的开始时间;
Figure PCTCN2021141720-appb-000151
表示在节点n的流出的进路集合;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000152
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000153
表示列车r的起始车站;B r′表示列车r′使用的进路集合;
Figure PCTCN2021141720-appb-000154
表示在节点n的流入的进路集合;
Figure PCTCN2021141720-appb-000155
表示列车r起点;
Figure PCTCN2021141720-appb-000156
表示列车r可能途经的特殊节点集合,
Figure PCTCN2021141720-appb-000157
Figure PCTCN2021141720-appb-000158
表示列车r的特殊起点车站,表明在该车站,列车的起始节点是在车站与区间的分界口处,也就是列车是从分界口处进入车站的。
Among them, M is a very large constant; x r', b' are expressed as 0-1 variables, 1 means that train r' uses route b', and 0 means that train r' does not use route b';
Figure PCTCN2021141720-appb-000150
Indicates the start time of train r' using route b';
Figure PCTCN2021141720-appb-000151
Indicates the set of outgoing routes at node n; B r represents the set of routes used by train r;
Figure PCTCN2021141720-appb-000152
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000153
Indicates the starting station of train r; B r'indicates the set of routes used by train r';
Figure PCTCN2021141720-appb-000154
Indicates the set of incoming routes at node n;
Figure PCTCN2021141720-appb-000155
Indicates the starting point of the train r;
Figure PCTCN2021141720-appb-000156
Indicates the set of special nodes that train r may pass through,
Figure PCTCN2021141720-appb-000157
Figure PCTCN2021141720-appb-000158
Indicates the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary.
约束(25)表示当列车r在初始节点
Figure PCTCN2021141720-appb-000159
且该节点不为出站信号机所在处,而是出站信号机后方节点出发,列车r使用出站进路b,列车r′使用与b冲突的进站进路b′时,列车r′进路开始时间晚于列车r进路结束时间。
Constraint (25) means that when the train r is at the initial node
Figure PCTCN2021141720-appb-000159
And this node is not where the outbound signal is located, but the node behind the outbound signal departs, train r uses the outbound route b, and train r' uses the inbound route b' that conflicts with b, train r' The route start time is later than the train r route end time.
Figure PCTCN2021141720-appb-000160
Figure PCTCN2021141720-appb-000160
其中,M为极大的常数;x r′,b′表示为0-1变量,1表示列车r′使用进路b′,0表示列车r′不使用进路b′;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000161
表示列车r′使用进路b′的开始时间;
Figure PCTCN2021141720-appb-000162
表示列车r使用进路b的结束时间;s n表示节点n所在的车站s;
Figure PCTCN2021141720-appb-000163
表示列车r的特殊起点车站,表明在该车站,列车的起始节点是在车站与区间的分界口处,也就是列车是从分界口处进入车站的;B r表示列车r使用的进路集合;
Figure PCTCN2021141720-appb-000164
表示在节点n的流出的进路集合;B r′表示列车r′使用的进路集合;
Figure PCTCN2021141720-appb-000165
表示列车r起点。
Among them, M is a very large constant; x r', b' is expressed as a 0-1 variable, 1 means that train r' uses route b', 0 means that train r' does not use route b'; x r, b means is a 0-1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000161
Indicates the start time of train r' using route b';
Figure PCTCN2021141720-appb-000162
Indicates the end time of train r using route b; s n indicates the station s where node n is located;
Figure PCTCN2021141720-appb-000163
Represents the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary; B r represents the route set used by train r ;
Figure PCTCN2021141720-appb-000164
Indicates the set of outgoing routes at node n; B r' represents the set of routes used by train r';
Figure PCTCN2021141720-appb-000165
Indicates the starting point of the train r.
约束(26)表示当列车r在初始节点
Figure PCTCN2021141720-appb-000166
且该节点为车站与区间分界点时,列车r使用进站进路b,列车r′使用与b冲突的进站进路b′时,列车r′进路开始时间晚于列车r进路结束时间。
Constraint (26) means that when the train r is at the initial node
Figure PCTCN2021141720-appb-000166
And when the node is the boundary point between the station and the section, train r uses the approach b, and train r' uses the approach b that conflicts with b, the start time of the train r' is later than the end of the train r time.
Figure PCTCN2021141720-appb-000167
Figure PCTCN2021141720-appb-000167
其中,M为极大的常数;x r′,b表示为0-1变量,1表示列车r′使用进路b,0表示列车r′不使用进路b;x r,b表示为0-1变量,1表示列车r使用进路b,0表示列车r不使用进路b;
Figure PCTCN2021141720-appb-000168
表示列车r′使用进路b的开始时间;
Figure PCTCN2021141720-appb-000169
表示列车r使用进路b的结束时间;stop r,s表示列车r在车站s的实际停站时间;s n表示节点n所在的车站s;
Figure PCTCN2021141720-appb-000170
表示列车r的特殊起点车站,表明在该车站,列车的起始节点是在车站与区间的分界口处,也就是列车是从分界口处进入车站的;B r表示列车r使用的进路集合;B r′表示列车r′使用的进路集合;
Figure PCTCN2021141720-appb-000171
表示在节点n的流出的进路集合;
Figure PCTCN2021141720-appb-000172
表示列车r起点。
Among them, M is a very large constant; x r', b is expressed as a 0-1 variable, 1 means that train r' uses route b, and 0 means that train r' does not use route b; x r, b is expressed as 0- 1 variable, 1 means train r uses route b, 0 means train r does not use route b;
Figure PCTCN2021141720-appb-000168
Indicates the start time of train r′ using route b;
Figure PCTCN2021141720-appb-000169
Indicates the end time of train r using route b; stop r, s indicates the actual stop time of train r at station s; s n indicates the station s where node n is located;
Figure PCTCN2021141720-appb-000170
Represents the special starting station of train r, indicating that at this station, the starting node of the train is at the boundary between the station and the section, that is, the train enters the station from the boundary; B r represents the route set used by train r ; B r' represents the route set used by train r';
Figure PCTCN2021141720-appb-000171
Indicates the set of outgoing routes at node n;
Figure PCTCN2021141720-appb-000172
Indicates the starting point of the train r.
约束(27)表示当列车r在初始节点,且该节点为车站与区间分界点时,列车r使用进站进路b,列车r′也使用进站进路b′时,列车r′进路开始时间晚于列车r进路结束时间加停站时间。Constraint (27) means that when the train r is at the initial node, and the node is the boundary point between the station and the section, the train r uses the inbound route b, and when the train r' also uses the inbound route b', the train r' route The start time is later than the end time of the train r route plus the stop time.
步骤250,对所述初始运行图进行可行性验证,得到验证结果,并根据所述验证结果确定所述目标运行阶段的目标运行图。Step 250: Perform feasibility verification on the initial operation diagram, obtain a verification result, and determine a target operation diagram for the target operation phase according to the verification result.
通过上述的约束求解目标函数后,可以得目标运行阶段的初始运行图,在得到所述初始运行图后, 可以对所述初始运行图进行可行性验证,得到验证结果。After solving the objective function through the above constraints, an initial operation diagram of the target operation phase can be obtained. After obtaining the initial operation diagram, the feasibility verification of the initial operation diagram can be performed to obtain a verification result.
具体的,可以是检查所述初始运行图中的列车在维修区段的维修时间和维修区段的运行时间是否出现冲突。具体可以参照图5,示出了初始运行图可能出现的情况的示意图。由于目标函数对列车到达时间不做限制,会出现列车运行线跨越两个阶段的情况,导致运行图有错误的可能。如图5所示,运行图以虚线分为维修前阶段与上行维修阶段,某上行列车在维修前阶段出发,如5(a)所示,列车运行跨越两个阶段,但与维修任务的时间没有冲突,则该运行图正确可行;而在5(b)中,列车在维修区段的运行时间与维修时间产生冲突,该运行图不可行。Specifically, it may be checked whether there is a conflict between the maintenance time of the train in the maintenance section and the running time of the maintenance section in the initial operation diagram. Specifically, reference may be made to FIG. 5 , which shows a schematic diagram of possible situations in the initial operation diagram. Since the objective function does not limit the arrival time of the train, there will be a situation where the train operation line spans two stages, resulting in the possibility of errors in the operation diagram. As shown in Figure 5, the operation diagram is divided into the pre-maintenance stage and the uplink maintenance stage by dotted lines. An uplink train starts at the pre-maintenance stage. If there is no conflict, the operation diagram is correct and feasible; but in 5(b), the operation time of the train in the maintenance section conflicts with the maintenance time, and the operation diagram is infeasible.
在对所述初始运行图进行可行性验证后,得到验证结果包括出现冲突或不冲突。若验证结果为出现冲突,表明该初始运行图中存在错误,则重新求解目标函数得到所述目标运行阶段的初始运行图,直到对所述初始运行图的验证结果为不冲突时,得到所述目标运行阶段的目标运行图;若所述验证结果为不冲突,可以确定所述初始运行图为所述目标运行阶段的目标运行图。After the feasibility verification is performed on the initial operation diagram, the verification result includes conflict or non-conflict. If the verification result is a conflict, it indicates that there is an error in the initial operation diagram, then re-solve the objective function to obtain the initial operation diagram of the target operation phase, until the verification result of the initial operation diagram is no conflict, the described The target operation graph of the target operation phase; if the verification result is no conflict, it can be determined that the initial operation graph is the target operation graph of the target operation phase.
步骤260,在得到所述目标运行阶段的目标运行图之后,返回执行从所述多个运行阶段中确定目标运行阶段的步骤,以得到每个运行阶段对应目标运行图。 Step 260, after obtaining the target operation graph of the target operation stage, return to the step of determining the target operation stage from the plurality of operation stages, so as to obtain the target operation graph corresponding to each operation stage.
在确定所述目标运行阶段的目标运行图之后,可以返回执行步骤230,即继续从多个运行阶段中确定目标运行阶段,并对确定目标运行阶段求解目标运行图。如前举例中,4个运行阶段按照时序排序依次为:阶段1,阶段2,阶段3和阶段4,首先确定的目标运行阶段为阶段1,在得到阶段1的目标运行图之后,确定为没有对应的目标运行图,且时序最早的运行阶段为所述目标运行阶段,即阶段2为新的目标运行阶段,在求解得到阶段2的目标运行图后,确定阶段3为目标运行阶段,以此类推,可以得到每个运行阶段的目标运行图。After the target operation graph of the target operation stage is determined, the execution may return to step 230, that is, continue to determine the target operation stage from multiple operation stages, and solve the target operation graph for the determined target operation stage. As in the previous example, the four operating stages are sequenced according to the time sequence: stage 1, stage 2, stage 3, and stage 4. The first determined target operating stage is stage 1. After obtaining the target operation diagram of stage 1, it is determined that there is no The corresponding target operation diagram, and the earliest operation stage of the time sequence is the target operation stage, that is, stage 2 is the new target operation stage. After solving the target operation diagram of stage 2, determine that stage 3 is the target operation stage. By analogy, the target operation diagram of each operation stage can be obtained.
步骤270,在每个运行阶段按照每个运行阶段的目标运行图运行列车。 Step 270, run the train in each operation stage according to the target operation diagram of each operation stage.
步骤270可参照前述实施例对应部分,在此不再赘述。For step 270, reference may be made to corresponding parts of the foregoing embodiments, and details are not repeated here.
本申请实施例提供的列车全天候运行方法,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解目标函数,可得到目标运行阶段的初始运行图,确保得到的初始运行图中不会出现列车运行和顺序冲突,对所述初始运行图进行可行验证,确保每个运行阶段的目标运行图中,在维修区段的运行时间和维修时间不会出现冲突,可保证按照每个运行阶段的目标运行图运行时可实现列车的全天候运行。The all-weather train operation method provided by the embodiment of the present application solves the objective function under the constraints of train operation constraints, train route constraints and train route sequence constraints, and can obtain the initial operation diagram of the target operation stage, ensuring that the obtained initial operation diagram does not There will be train operation and sequence conflicts, and the feasibility verification of the initial operation diagram is carried out to ensure that in the target operation diagram of each operation stage, there will be no conflict between the operation time and maintenance time in the maintenance section, and it can be guaranteed that each operation The target operation chart of the stage can realize the all-weather operation of the train.
下面将以一个具体的实例对列车的全天候运行方法进行说明。假设地铁线为R1线,全线配置有7个车站,可参照图6,在7个车站中,配有双渡线和交叉渡线的车站共有4个,分别为车站1,车站2,车站3和车站7。根据分段单线双向运行模式的运输组织特点,列车从维修区段进行非维修区段,以及从维修区段进入维修区段,如果原线路属于计划维修线路,那么就需要经由渡线进行转线,所以维修区段的划分要求两端车站必须为配置渡线的车站。因此,可以将全线分为三个维修区段,分别为车站1-车站7,车站1-车站2,车站2-车站3。The all-weather operation method of the train will be described below with a specific example. Assume that the subway line is R1, and there are 7 stations on the whole line. You can refer to Figure 6. Among the 7 stations, there are 4 stations with double-crossing lines and cross-crossing lines, which are respectively station 1, station 2, and station 3. and station 7. According to the characteristics of the transportation organization of the segmented single-track two-way operation mode, the train goes from the maintenance section to the non-maintenance section, and enters the maintenance section from the maintenance section. If the original line belongs to the planned maintenance line, then it needs to be transferred via a crossover. , so the division of the maintenance section requires that the stations at both ends must be stations equipped with crossovers. Therefore, the whole line can be divided into three maintenance sections, which are station 1-station 7, station 1-station 2, and station 2-station 3.
可以理解的是,列车在白天可以保证正常运行,为了实现列车全天候运行,主要是在夜间安排行车,且维修天窗也通常发生在夜间,因此,可以将除了白天的运行时间之外的时间,即夜间运行时间作为全天运行时间,将所述全天运行时间分为两个运行时段,为前期和后期,前期开行夜间列车10列,后期 开行夜间列车20列车。It is understandable that trains can be guaranteed to run normally during the day. In order to realize the all-weather operation of the train, it is mainly arranged to run at night, and the maintenance of skylights usually takes place at night. The nighttime running time is used as the all-day running time, and the all-day running time is divided into two running periods, which are the early stage and the late stage. There are 10 night trains in the early stage and 20 night trains in the late stage.
首先将前期作为目标运行阶段,获取前期10列列车所经过的进路集合,根据列车数量和进路集合,在列车运行约束,列车途经进路约束,以及列车进路顺序约束下,求解所述目标函数,可以得到前期的初始运行图,在确定所述初始运行图中在维修区段的运行时间和维修时间不冲突时,得到目标运行图。继续求解下一运行阶段的目标运行图,在得到前期和后期的目标运行图之后,可以按照所述目标运行图进行按照列车运行。由于此处的全天运行时间为夜间运行时间,因此,可以实现夜间的正常行车,白天的行车计划不变,即可以实现列车的全天候运行。Firstly, the early stage is taken as the target operation stage, and the route set passed by the 10 trains in the early stage is obtained. According to the number of trains and the route set, under the constraints of train operation, train passing route, and train route sequence constraints, solve the above The objective function is to obtain an initial operation diagram in the early stage, and obtain a target operation diagram when it is determined that the operation time of the maintenance section in the initial operation diagram does not conflict with the maintenance time. Continue to solve the target operation diagram of the next operation stage. After obtaining the target operation diagram of the early stage and the later stage, the train operation can be performed according to the target operation diagram. Since the all-day running time here is nighttime running time, normal running at night can be realized, and the driving plan during the day remains unchanged, that is, round-the-clock running of the train can be realized.
请参阅图5,本申请实施例提供了一种列车全天候运行装置300,所述列车全天候运行装置300包括划分模块310,获取模块320,计算模块330以及运行模块340。Please refer to FIG. 5 , the embodiment of the present application provides an all-weather train operation device 300 , the train all-weather operation device 300 includes a division module 310 , an acquisition module 320 , a calculation module 330 and an operation module 340 .
所述划分模块310,用于将全天运行时间划分为多个运行阶段;所述获取模块320,用于获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合;所述计算模块330,用于根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突;所述运行模块340,用于在每个运行阶段按照每个运行阶段的目标运行图进行运行。The division module 310 is used to divide the running time of the whole day into multiple operation stages; the acquisition module 320 is used to obtain the number of trains expected to depart in each operation stage, and the set of routes used by each train; The calculation module 330 is used to solve the objective function according to the number of trains in each operation stage and the set of routes to obtain the target operation diagram of each operation stage. The objective function indicates that the total running time of the train is the minimum, and the In the operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section; the operation module 340 is used to operate in each operation stage according to the target operation diagram of each operation stage.
进一步的,所述计算模块320还用于从所述多个运行阶段中确定目标运行阶段,所述目标运行阶段为没有对应的目标运行图,且时序最早的运行阶段;根据目标运行阶段的列车数量以及进路集合,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解所述目标函数,得到所述目标运行阶段的初始运行图;对所述初始运行图进行可行性验证,得到验证结果,并根据所述验证结果确定所述目标运行阶段的目标运行图;在得到所述目标运行阶段的目标运行图之后,返回执行从所述多个运行阶段中确定目标运行阶段的步骤,以得到每个运行阶段对应目标运行图。Further, the calculation module 320 is also used to determine the target operation stage from the plurality of operation stages, the target operation stage is the operation stage that has no corresponding target operation diagram and has the earliest time sequence; Quantity and route set, solving the objective function under the constraints of train operation constraints, train route constraints and train route sequence constraints, to obtain the initial operation diagram of the target operation stage; and verify the feasibility of the initial operation diagram , obtain the verification result, and determine the target operation diagram of the target operation phase according to the verification result; after obtaining the target operation diagram of the target operation phase, return to the execution of determining the target operation phase from the multiple operation phases Steps to obtain the target operation diagram corresponding to each operation stage.
进一步的,所述计算模块320还用于确定所述初始运行图中,在维修区段的运行时间与维修时间是否出现冲突;若所述验证结果为出现冲突,重新求解目标函数得到初始运行图,直到所述验证结果为不冲突时,得到所述目标运行阶段的目标运行图;在所述检验结果为不冲突时,确定所述初始运行图为所述目标运行阶段的目标运行图。Further, the calculation module 320 is also used to determine whether there is a conflict between the running time of the maintenance section and the maintenance time in the initial operation diagram; if the verification result is a conflict, re-solve the objective function to obtain the initial operation diagram , until the verification result is no conflict, the target operation graph of the target operation phase is obtained; when the verification result is no conflict, the initial operation graph is determined to be the target operation graph of the target operation phase.
进一步的,所述目标函数为:Further, the objective function is:
Figure PCTCN2021141720-appb-000173
Figure PCTCN2021141720-appb-000173
其中,Z表示列车总运行时间;
Figure PCTCN2021141720-appb-000174
表示列车r使用进路b的结束时间;
Figure PCTCN2021141720-appb-000175
表示列车r使用进路b的开始时间。
Among them, Z represents the total running time of the train;
Figure PCTCN2021141720-appb-000174
Indicates the end time of train r using route b;
Figure PCTCN2021141720-appb-000175
Indicates the start time of train r using route b.
进一步的,所述列车运行约束包括:列车在进路的开始时间与列车是否使用所述进路的关系约束;列车在进路的结束时间与列车是否使用所述进路的关系约束;列车在进路的结束时间与列车在所述进路的开始时间的关系约束;列车在车站的停站时间约束。Further, the train operation constraints include: the relationship constraint between the start time of the train on the route and whether the train uses the route; the relationship constraint between the end time of the train on the route and whether the train uses the route; The relationship constraint between the end time of the route and the start time of the train on the route; the stop time constraint of the train at the station.
进一步的,所述列车途经进路约束包括:对列车途经的进路的数量的约束。Further, the train route constraint includes: a constraint on the number of train route routes.
进一步的,所述进路顺序约束包括:列车在通过进路以及出站进路的顺序约束;列车在进站进路的顺序约束;列车在车站不同初始位置的顺序约束。Further, the route sequence constraints include: sequence constraints of trains passing through routes and outbound routes; sequence constraints of trains on incoming routes; sequence constraints of trains at different initial positions at the station.
本申请实施例提供的列车全天候运行装置,将全天运行时间划分为多个运行阶段,根据目标函数求解各个运行阶段对应的目标运行图,并按照每个运行阶段对应的目标运行图运行。所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突,可确保列车不会因为维修而中断,目标函数为列车的总运行时间最小,可提升线路的运输能力,实现列车的全天候运行。The all-weather train operation device provided by the embodiment of the present application divides the all-day running time into multiple operation stages, solves the target operation diagram corresponding to each operation stage according to the objective function, and operates according to the target operation diagram corresponding to each operation stage. In the target operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance. The objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
要说明的是,所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述装置的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。It should be noted that those skilled in the art can clearly understand that for the convenience and brevity of the description, the specific working process of the device described above can refer to the corresponding process in the foregoing method embodiment, which will not be repeated here.
请参阅图6,本申请实施例提供了一种电子设备的结构框图,该电子设备400包括处理器410以及存储器420以及一个或多个应用程序,其中所述一个或多个应用程序被存储在所述存储器420中并被配置为由所述一个或多个处理器410执行,所述一个或多个程序配置用于执行上述列车全天候运行方法。Please refer to FIG. 6 , the embodiment of the present application provides a structural block diagram of an electronic device, the electronic device 400 includes a processor 410, a memory 420 and one or more application programs, wherein the one or more application programs are stored in The memory 420 is configured to be executed by the one or more processors 410, and the one or more programs are configured to execute the above-mentioned all-weather train operation method.
该电子设备400可以是智能手机、平板电脑等能够运行应用程序的终端设备,还可以是服务器。本申请中的电子设备400可以包括一个或多个如下部件:处理器410、存储器420、以及一个或多个应用程序,其中一个或多个应用程序可以被存储在存储器420中并被配置为由一个或多个处理器410执行,一个或多个程序配置用于执行如前述方法实施例所描述的方法。The electronic device 400 may be a terminal device capable of running application programs, such as a smart phone and a tablet computer, or may be a server. The electronic device 400 in this application may include one or more of the following components: a processor 410, a memory 420, and one or more application programs, wherein one or more application programs may be stored in the memory 420 and configured to be used by One or more processors 410 are executed, and one or more programs are configured to execute the methods described in the foregoing method embodiments.
处理器410可以包括一个或者多个处理核。处理器410利用各种接口和线路连接整个电子设备400内的各个部分,通过运行或执行存储在存储器420内的指令、程序、代码集或指令集,以及调用存储在存储器420内的数据,执行电子设备400的各种功能和处理数据。可选地,处理器410可以采用数字信号处理(Digital Signal Processing,DSP)、现场可编程门阵列(Field-Programmable Gate Array,FPGA)、可编程逻辑阵列(Programmable Logic Array,PLA)中的至少一种硬件形式来实现。处理器410可集成中央处理器(Central Processing Unit,CPU)、图像处理器(Graphics Processing Unit,GPU)和调制解调器等中的一种或几种的组合。其中,CPU主要处理操作系统、用户界面和应用程序等;GPU用于负责显示内容的渲染和绘制;调制解调器用于处理无线通信。可以理解的是,上述调制解调器也可以不集成到处理器410中,单独通过一块通信芯片进行实现。Processor 410 may include one or more processing cores. The processor 410 uses various interfaces and lines to connect various parts in the entire electronic device 400, and executes or executes by running or executing instructions, programs, code sets or instruction sets stored in the memory 420, and calling data stored in the memory 420. Various functions of the electronic device 400 and processing data. Optionally, the processor 410 may adopt at least one of Digital Signal Processing (Digital Signal Processing, DSP), Field-Programmable Gate Array (Field-Programmable Gate Array, FPGA), and Programmable Logic Array (Programmable Logic Array, PLA). implemented in the form of hardware. The processor 410 may integrate one or a combination of a central processing unit (Central Processing Unit, CPU), an image processor (Graphics Processing Unit, GPU), a modem, and the like. Among them, the CPU mainly handles the operating system, user interface and application programs, etc.; the GPU is used to render and draw the displayed content; the modem is used to handle wireless communication. It can be understood that, the above-mentioned modem may not be integrated into the processor 410, but may be realized by a communication chip alone.
存储器420可以包括随机存储器(Random Access Memory,RAM),也可以包括只读存储器(Read-Only Memory)。存储器420可用于存储指令、程序、代码、代码集或指令集。存储器420可包括存储程序区和存储数据区,其中,存储程序区可存储用于实现操作系统的指令、用于实现至少一个功能的指令(比如触控功能、声音播放功能、图像播放功能等)、用于实现下述各个方法实施例的指令等。存储数据区还可以存储电子设备400在使用中所创建的数据(比如电话本、音视频数据、聊天记录数据)等。The memory 420 may include random access memory (Random Access Memory, RAM), and may also include read-only memory (Read-Only Memory). Memory 420 may be used to store instructions, programs, codes, sets of codes, or sets of instructions. The memory 420 may include a program storage area and a data storage area, wherein the program storage area may store instructions for implementing an operating system and instructions for implementing at least one function (such as a touch function, a sound playback function, an image playback function, etc.) , instructions for implementing the following method embodiments, and the like. The storage data area can also store data created by the electronic device 400 during use (such as phonebook, audio and video data, chat record data) and the like.
本申请实施例提供的电子设备,将全天运行时间划分为多个运行阶段,根据目标函数求解各个运行阶段对应的目标运行图,并按照每个运行阶段对应的目标运行图运行。所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突,可确保列车不会因为维修而中断,目标函数为列车的总运行时间最小,可提升线路的运输能力,实现列车的全天候运行。The electronic device provided in the embodiment of the present application divides the operating time of the whole day into multiple operating stages, solves the target operating graph corresponding to each operating stage according to the objective function, and operates according to the target operating graph corresponding to each operating stage. In the target operation diagram, there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section, which can ensure that the train will not be interrupted due to maintenance. The objective function is that the total running time of the train is the minimum, which can improve the transportation of the line Ability to realize round-the-clock operation of trains.
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请 可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowcharts and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present application. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.
尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。While preferred embodiments of the present application have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, the appended claims are intended to be construed to cover the preferred embodiment and all changes and modifications which fall within the scope of the application.
显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.

Claims (10)

  1. 一种列车全天候运行方法,其特征在于,所述方法包括:A kind of all-weather operation method of train, it is characterized in that, described method comprises:
    将全天运行时间划分为多个运行阶段;Divide the whole day's running time into multiple running stages;
    获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合;Obtain the number of trains expected to depart in each operation phase, and the set of routes used by each train;
    根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突;According to the number of trains in each operation stage and the set of routes, the objective function is solved to obtain the target operation diagram of each operation stage. The objective function indicates that the total running time of the train is the minimum. The running time of the section does not conflict with the maintenance time of the maintenance section;
    在每个运行阶段按照每个运行阶段的目标运行图运行列车。Run the train in each operation stage according to the target operation diagram of each operation stage.
  2. 根据权利要求1所述的方法,其特征在于,所述根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,包括:The method according to claim 1, characterized in that, according to the number of trains in each operation stage and the set of routes, solving the objective function to obtain the target operation diagram of each operation stage includes:
    从所述多个运行阶段中确定目标运行阶段,所述目标运行阶段为没有对应的目标运行图且时序最早的运行阶段;Determining a target operating phase from the plurality of operating phases, the target operating phase is an operating phase that has no corresponding target operating graph and has the earliest time sequence;
    根据目标运行阶段的列车数量以及进路集合,在列车运行约束、列车途经进路约束以及列车进路顺序约束下求解所述目标函数,得到所述目标运行阶段的初始运行图;According to the number of trains in the target operation stage and the set of routes, the objective function is solved under the train operation constraint, the train route constraint and the train route sequence constraint, and the initial operation diagram of the target operation stage is obtained;
    对所述初始运行图进行可行性验证,得到验证结果,并根据所述验证结果确定所述目标运行阶段的目标运行图;Carrying out feasibility verification on the initial operation diagram, obtaining a verification result, and determining the target operation diagram of the target operation phase according to the verification result;
    在得到所述目标运行阶段的目标运行图之后,返回执行从所述多个运行阶段中确定目标运行阶段的步骤,以得到每个运行阶段对应的目标运行图。After obtaining the target operation graph of the target operation stage, return to the step of determining the target operation stage from the plurality of operation stages, so as to obtain the target operation graph corresponding to each operation stage.
  3. 根据权利要求2所述的方法,其特征在于,所述对所述初始运行图进行可行性验证,得到验证结果,并根据所述验证结果确定所述目标运行阶段的目标运行图,包括:The method according to claim 2, wherein the feasibility verification of the initial operation diagram is performed to obtain a verification result, and determining the target operation diagram of the target operation phase according to the verification result includes:
    确定所述初始运行图中,在维修区段的运行时间与维修时间是否出现冲突;Determining whether there is a conflict between the running time and the maintenance time in the maintenance section in the initial operation diagram;
    若所述验证结果为出现冲突,重新求解目标函数得到初始运行图,直到所述验证结果为不冲突时,得到所述目标运行阶段的目标运行图;If the verification result is that there is a conflict, re-solve the objective function to obtain the initial operation diagram, until the verification result is no conflict, obtain the target operation diagram of the target operation stage;
    在所述检验结果为不冲突时,确定所述初始运行图为所述目标运行阶段的目标运行图。When the verification result is no conflict, determine the initial operation diagram as the target operation diagram of the target operation phase.
  4. 根据权利要求2所述的方法,其特征在于,所述目标函数为:The method according to claim 2, wherein the objective function is:
    Figure PCTCN2021141720-appb-100001
    Figure PCTCN2021141720-appb-100001
    其中,Z表示列车总运行时间;
    Figure PCTCN2021141720-appb-100002
    表示列车r使用进路b的结束时间;
    Figure PCTCN2021141720-appb-100003
    表示列车r使用进路b的开始时间。
    Among them, Z represents the total running time of the train;
    Figure PCTCN2021141720-appb-100002
    Indicates the end time of train r using route b;
    Figure PCTCN2021141720-appb-100003
    Indicates the start time of train r using route b.
  5. 根据权利要求2所述的方法,其特征在于,所述列车运行约束包括:The method according to claim 2, wherein the train operation constraints include:
    列车在进路的开始时间与列车是否使用所述进路的关系约束;和,A relational constraint on the start time of a train on a route and whether the train uses said route; and,
    列车在进路的结束时间与列车是否使用所述进路的关系约束;和,A relational constraint on the end time of a train on a route and whether the train uses said route; and,
    列车在进路的结束时间与列车在所述进路的开始时间的关系约束;和,a relationship constraint between the end time of the train on the route and the start time of the train on said route; and,
    列车在车站的停站时间约束。Stop time constraints for trains at stations.
  6. 根据权利要求2所述的方法,其特征在于,所述列车途经进路约束包括:The method according to claim 2, wherein the train route constraints include:
    对列车途经的进路的数量的约束。Constraints on the number of routes the train will travel through.
  7. 根据权利要求2所述的方法,其特征在于,所述列车进路顺序约束包括:The method according to claim 2, wherein the train route order constraints include:
    列车在通过进路以及出站进路的顺序约束;和,sequence constraints for trains on passing and outbound routes; and,
    列车在进站进路的顺序约束;和,sequence constraints for trains on incoming routes; and,
    列车在车站不同初始位置的顺序约束。Sequence constraints for different initial positions of trains at stations.
  8. 一种列车全天候运行装置,其特征在于,所述装置包括:A kind of train all-weather operation device, it is characterized in that, described device comprises:
    划分模块,用于将全天运行时间划分为多个运行阶段;The division module is used to divide the running time of the whole day into multiple running stages;
    获取模块,用于获取每个运行阶段预计出发的列车数量,以及每个列车使用的进路集合;The obtaining module is used to obtain the number of trains expected to depart in each operation stage, and the set of routes used by each train;
    计算模块,用于根据每个运行阶段的列车数量以及进路集合,求解目标函数得到所述每个运行阶段的目标运行图,所述目标函数表示列车的总运行时间最小,所述目标运行图中,列车在维修区段的运行时间与维修区段的维修时间没有冲突;The calculation module is used to solve the objective function to obtain the target operation diagram of each operation stage according to the number of trains in each operation stage and the route set, the objective function indicates that the total running time of the train is the minimum, and the target operation diagram In , there is no conflict between the running time of the train in the maintenance section and the maintenance time of the maintenance section;
    运行模块,用于在每个运行阶段按照每个运行阶段的目标运行图进行运行。The running module is used for running in each running phase according to the target running graph of each running phase.
  9. 一种电子设备,其特征在于,所述电子设备包括:An electronic device, characterized in that the electronic device comprises:
    一个或多个处理器;one or more processors;
    存储器,与所述一个或多个处理器电连接;a memory electrically coupled to the one or more processors;
    一个或多个应用程序,其中所述一个或多个应用程序被存储在所述存储器中并被配置为由所述一个或多个处理器执行,所述一个或多个应用程序配置用于执行如权利要求1至7任一项所述的方法。one or more application programs, wherein the one or more application programs are stored in the memory and configured to be executed by the one or more processors, the one or more application programs are configured to perform The method according to any one of claims 1 to 7.
  10. 一种计算机可读取存储介质,其特征在于,所述计算机可读取存储介质中存储有程序代码,所述程序代码可被处理器调用执行如权利要求1至7任一项所述的方法。A computer-readable storage medium, characterized in that the computer-readable storage medium stores program codes, and the program codes can be invoked by a processor to execute the method according to any one of claims 1 to 7 .
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