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CN114611807B - Construction method of transportation ticket buying transfer recommendation index - Google Patents

Construction method of transportation ticket buying transfer recommendation index Download PDF

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CN114611807B
CN114611807B CN202210260932.4A CN202210260932A CN114611807B CN 114611807 B CN114611807 B CN 114611807B CN 202210260932 A CN202210260932 A CN 202210260932A CN 114611807 B CN114611807 B CN 114611807B
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赵涵
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Abstract

The invention discloses a construction method of a transportation ticket buying transfer recommendation index, which is used for determining an issuing station, a destination station and a transfer station, and acquiring longitude and latitude of each station and line length between stations; calculating an included angle between the departure station and the transfer station and an included angle between the departure station and the destination station and an included angle between the transfer station and the destination station and an included angle between the departure station and the destination station; judging the degree of deviation of the transfer station from the original route, and judging the influence of the length of the transfer route on the recommended transfer index; and calculating a transportation ticket purchasing transfer recommendation index. The invention gives the transportation ticket purchasing transfer recommendation index in the form of numerical value, thereby being convenient for ticket purchasing personnel to decide and use; factors such as the deviation degree of the transfer line and the original line, the increase of mileage, the allowance degree of transfer time, the late train rate and the like are comprehensively considered, and the transfer recommendation index calculated by the method is more reasonable.

Description

Construction method of transportation ticket buying transfer recommendation index
Technical Field
The invention belongs to the field of transportation, and particularly relates to a method for constructing a transportation ticket purchasing transfer recommendation index.
Background
The holiday traffic is large, the ticket source is tense, even a ticket is difficult to be obtained, and the ticket buying scheme is better if the purpose of going out is achieved through transfer under the condition that the direct ticket cannot be purchased. The route of travel planned in the prior art generally includes the vehicles in the route that need to be transferred, the total distance of the route, and the estimated time to reach the destination. The transfer success rate can be influenced by the transfer traffic line, transfer interval time and late rate of the vehicles on duty, and the transfer recommendation index for purchasing transfer tickets for users is lacking at present.
Disclosure of Invention
The invention solves the technical problems that: a method for constructing a transportation ticket purchasing transfer recommendation index is provided.
The technical scheme is as follows: in order to solve the technical problems, the invention adopts the following technical scheme:
the method for constructing the transportation ticket purchasing transfer recommendation index is characterized by comprising the following steps of:
step 1: determining an originating station, a destination station and a transfer station, and acquiring longitude and latitude of each station and line length between stations;
step 2: drawing triangles at three places of the departure station, the destination station and the transfer station, and calculating an included angle between the departure station and the transfer station and an included angle between the transfer station and the destination station and between the departure station and the destination station;
step 3: calculating contribution of the degree of deviation of the transfer station from the original route to the recommended index according to the included angle;
step 4: calculating contribution of increase of line mileage after transfer to a recommended index according to the line length between stations;
step 5: calculating the contribution of the transfer time allowance degree to the recommendation index;
step 6: and calculating a transportation ticket purchasing transfer recommendation index.
Further, the departure station is defined as A, the destination station is defined as B, the transfer station is defined as C, and the included angle CAB between the departure station to the transfer station and the departure station to the destination station is set as theta 1 The included angle ABC between the outgoing station and the destination station and between the transfer station and the destination station is theta 2 ,θ 1 And theta 2 The calculation method of (1) is as follows:
Figure BDA0003550307780000021
Figure BDA0003550307780000022
wherein X is A 、Y A 、Z A For the coordinate value, X after the longitude and latitude of the departure station A are converted into the Cartesian coordinate system B 、Y B 、Z B Coordinate value, X, after converting longitude and latitude of destination station B into Cartesian coordinate system C 、Y C 、Z C The longitude and latitude of the transfer station C are converted into coordinate values of a Cartesian coordinate system.
Further, the longitude and latitude of the departure station A are Lng respectively A 、Lat A The longitude and latitude of the destination station B are Lng respectively B 、Lat B Longitude and latitude of transfer station CRespectively Lng C 、Lat C Converting longitude and latitude of each station into Cartesian coordinate system for representation, X A 、Y A 、Z A Obtained by the following steps:
Figure BDA0003550307780000023
Figure BDA0003550307780000024
Figure BDA0003550307780000025
X B 、Y B 、Z B obtained by the following steps:
Figure BDA0003550307780000026
Figure BDA0003550307780000027
Figure BDA0003550307780000028
X C 、Y C 、Z C obtained by the following steps:
Figure BDA0003550307780000029
Figure BDA00035503077800000210
Figure BDA0003550307780000031
wherein r is the earth radius and takes the value of 6371.393.
Further, in step 3, the contribution of the degree of deviation of the transfer station from the original route to the recommendation index is p θ And (3) representing.
Figure BDA0003550307780000032
Wherein l 1 For the length of the line between the departure station a and the transfer station C, l 2 For the length of the line between transfer station C and destination station B; when the transfer station is positioned on the original line, let p θ =1。
Further, in step 4, the contribution of the increase of the line mileage after transfer to the recommendation index is p l A representation;
Figure BDA0003550307780000033
where l is the length of the line between the outbound station A and the destination station B, l 1 For the length of the line between the departure station a and the transfer station C, l 2 For the length of the line between transfer station C and destination station B.
Further, in step 5, the transfer time margin contributes to the recommendation index by p t And (3) representing.
Figure BDA0003550307780000034
Wherein t is the transfer time,
Figure BDA0003550307780000035
T 1 to the moment when the vehicle arrives at the transfer station on the departure-to-transfer station line AC, T 2 Departure time t for a vehicle from a transfer station to a destination station CB Excellent (excellent) Is the optimal transfer time.
Further, in step 6, the transportation ticket purchase transfer recommendation index is calculated, and the method is as follows:
I=p θ ·p l ·p t ·(1-p late time )×100%
I is the ticket buying transfer recommended index, p Late time The late rate for the vehicle to arrive at the transfer station.
The beneficial effects are that: compared with the prior art, the invention has the following advantages:
the invention comprehensively considers the factors of deviation degree of the transfer line and the original line, mileage increase, allowance degree of transfer time, train late rate and the like in the construction of the transfer recommendation index, and the recommendation index is more reasonable. The angle of deviating from the original line due to transfer is obtained through the positions of the outbound station, the destination station and the transfer station, the contribution to the recommended index is smaller as the deviation angle is larger, the transfer station can be prevented from being in an unreasonable position, for example, the transfer station is in the opposite direction of the line, and the transfer station which is close to the original line as much as possible can be recommended preferentially; the contribution of the increase of the mileage of the line after transfer to the recommendation index can ensure that the line with shorter mileage is recommended preferentially; the problem that passengers cannot get on the vehicle during transfer is solved well due to the allowance degree of transfer time and the contribution of the late rate of the vehicle to the recommended index, and meanwhile, the phenomenon that passengers wait for a long time during transfer can be avoided.
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FIG. 1 is a flow chart of a method for constructing a transportation ticketing transfer index;
fig. 2 is a schematic diagram of the location of a method for constructing a transfer index of a ticket for transportation.
Detailed Description
The invention will be further illustrated with reference to specific examples, which are carried out on the basis of the technical solutions of the invention, it being understood that these examples are only intended to illustrate the invention and are not intended to limit the scope thereof.
As shown in fig. 1, a method for constructing a transportation ticket purchase transfer recommendation index includes the following steps:
step 1: determining an originating station, a destination station and a transfer station, and acquiring longitude and latitude of each station and line length between stations;
let the departure station be A, the destination station be B, the transfer station be C, and the longitude and latitude of the departure station A be Lng respectively A 、Lat A The longitude and latitude of the destination B are Lng respectively B 、Lat B The latitude and longitude of transfer station C are Lng C 、Lat C . The line length AB between the outbound and destination is l, and the line length AC between the outbound and transfer is l 1 The line length CB between transfer station and destination station is l 2
Step 2: drawing triangles at three places of the departure station, the destination station and the transfer station, and calculating an included angle between the departure station and the transfer station and an included angle between the transfer station and the destination station and between the departure station and the destination station;
and the longitude and latitude of the outbound station, the destination station and the transfer station are converted into a Cartesian coordinate system, so that subsequent calculation is facilitated. Record X A 、Y A 、Z A For the coordinate value, X after the longitude and latitude of the departure station A are converted into the Cartesian coordinate system A 、Y A 、Z A Obtained by the following steps:
Figure BDA0003550307780000051
Figure BDA0003550307780000052
Figure BDA0003550307780000053
record X B 、Y B 、Z B Coordinate value, X, after converting longitude and latitude of destination station B into Cartesian coordinate system B 、Y B 、Z B Obtained by the following steps:
Figure BDA0003550307780000054
Figure BDA0003550307780000055
Figure BDA0003550307780000056
record X C 、Y C 、Z C Is coordinate value after the longitude and latitude of the C station is converted into a Cartesian coordinate system, X C 、Y C 、Z C Obtained by the following steps:
Figure BDA0003550307780000057
Figure BDA0003550307780000058
Figure BDA0003550307780000059
where r is the radius of the earth and has a value of 6371.393.
Drawing triangles at three places of an outbound station A, a destination station B and a transfer station C, and setting a CAB as theta 1 Angle ABC is theta 2 ,θ 1 And theta 2 The calculation method of (1) is as follows:
Figure BDA00035503077800000510
Figure BDA0003550307780000061
step 3: calculating contribution of the degree of deviation of the transfer station from the original route to the recommended index according to the included angle;
transfer station deviating from the original routeDegree p θ Representing p θ Obtained by:
Figure BDA0003550307780000062
the greater the degree of deviation of the transfer station from the original line, p θ Smaller, let p be when the transfer station is located on the original line θ =1。
Step 4: calculating contribution of increase of line mileage after transfer to a recommended index according to the line length between stations;
influence of transfer route length on recommended transfer index p l Representing p l Obtained by:
Figure BDA0003550307780000063
when the transfer station is located on the original line, l 1 +l 2 =l, so p l =1。
Step 5: calculating the contribution of the transfer time allowance degree to the recommendation index; contribution of transfer time margin to recommendation index p t The representation is made of a combination of a first and a second color,
Figure BDA0003550307780000064
wherein t is the transfer time,
Figure BDA0003550307780000065
T 1 to the moment when the vehicle arrives at the transfer station on the departure-to-transfer station line AC, T 2 Departure time t for a vehicle on transfer station to destination station line CB from transfer station Excellent (excellent) For the optimal transfer time, t Excellent (excellent) Preferably 60min. The optimal transfer time can be set by the ticket purchasing user, and the system calculates the influence of the transfer time allowance degree on the recommendation index according to the optimal transfer time set by the user.
Step 6: the method for calculating the transportation ticket purchasing transfer recommendation index comprises the following steps:
I=p θ ·p l ·p t ·(1-p late time )×100%
I is a ticket purchasing transfer index, p Late time To the late rate of arrival at station C.
The recommendation index under different transfer conditions is calculated by adopting the method of the invention:
the railway mileage from A to B is 1158km, the railway mileage from A to C is 691km, the railway mileage from C to B is 691km, and θ is 1 =42.3°,θ 2 The transfer time at station C is 35min, the late rate of the train on duty is 3%, t =38.5° Excellent (excellent) =60 min. Calculated, p θ =0.9384,p l =0.8379,p t =0.7934,I=60.5%。
Example 2:
the transfer time at station C was 57min, the late rate of the on-duty train was 5%, and the other conditions were the same as in example 1. Calculated, p θ =0.9384,p l =0.8379,p t =0.9969,I=74.5%。
The main difference between example 2 and example 1 is that the transfer time is longer, increasing from 35min to 57min, allowing the passengers sufficient time for transfer, while the late rate of the vehicle is 2% rising, the impact is relatively small, so the recommended index is rising from 60.5% to 74.5%, which meets the intuitive feel requirements of people for transfer.
Example 3:
the railway mileage from A to B is 1158km, the railway mileage from A to C is 1104km, the railway mileage from C to B is 283km, and theta is transferred from C to C 1 =15.7°,θ 2 =52.1°, the transfer time at station C is 45min, the late rate of the train on duty is 1%, t Excellent (excellent) =60 min. Calculated, p θ =0.9718,p l =0.8349,p t =0.9239,I=74.2%。
Example 4:
the transfer time at station C was 60min, with the other conditions being the same as in example 3. Calculated, p θ =0.9718,p l =0.8349,p t =1.0,I=80.3%。
Example 4 differs from example 3 only in the transfer time, which increases from 45min to 60min, and the transfer is safer, so the recommended index also increases from 74.2% to 80.3%.
Example 5:
the railway mileage from the A place to the B place is 1158km, the transfer station is positioned on the original line from the A place to the B place, the transfer time at the C station is 48min, the late rate of the train on duty is 2%, and t Excellent (excellent) =60 min. Calculated, p θ =1.0,p l =1.0,p t =0.9511,I=93.2%。
In example 5, the station transfer on the same line is performed, the line is not deviated, the mileage is not increased, the recommended index is only affected by the transfer time allowance and the late rate of the vehicle, in this example, the late rate is only 2%, the transfer time is 48min, and the recommended index is 93.2% because the station transfer is relatively abundant.
If the 5 embodiments are alternative solutions of transfer, embodiment 5 is the optimal transfer solution, and next, embodiment 4 is the best transfer solution, and the recommended index of transfer is higher, reaching 80.3%, so that the method is also the best transfer solution, so that the method can give specific recommended values, and is convenient for users to select.
The foregoing is merely a preferred embodiment of the present invention and it should be noted that modifications and adaptations to those skilled in the art may be made without departing from the principles of the present invention, which are intended to be comprehended within the scope of the present invention.

Claims (3)

1. The method for constructing the transportation ticket purchasing transfer recommendation index is characterized by comprising the following steps of:
step 1: determining an originating station, a destination station and a transfer station, and acquiring longitude and latitude of each station and line length between stations;
step 2: drawing triangles at three places of the departure station, the destination station and the transfer station, and calculating an included angle between the departure station and the transfer station and an included angle between the transfer station and the destination station and between the departure station and the destination station;
step 3: calculating contribution of the degree of deviation of the transfer station from the original route to the recommended index according to the included angle; contribution of degree of deviation of transfer station from original route to recommended index p θ A representation;
Figure FDA0004092468750000011
wherein l 1 For the length of the line between the departure station a and the transfer station C, l 2 For the length of the line between transfer station C and destination station B; when the transfer station is positioned on the original line, let p θ =1;
Step 4: calculating contribution of increase of line mileage after transfer to a recommended index according to the line length between stations; contribution of increase of line mileage after transfer to recommendation index p l A representation;
Figure FDA0004092468750000012
where l is the length of the line between the outbound station A and the destination station B, l 1 For the length of the line between the departure station a and the transfer station C, l 2 For the length of the line between transfer station C and destination station B;
step 5: calculating the contribution of the transfer time allowance degree to the recommendation index; contribution of transfer time margin to recommendation index p t The representation is made of a combination of a first and a second color,
Figure FDA0004092468750000013
wherein t is the transfer time,
Figure FDA0004092468750000014
T 1 to be a departure stationT to the moment when the vehicle on transfer station line AC arrives at the transfer station 2 Departure time t for a vehicle from a transfer station to a destination station CB Excellent (excellent) Is the optimal transfer time;
step 6: calculating a transportation ticket purchasing transfer recommendation index; the method comprises the following steps:
I=p θ ·p l ·p t ·(1-p late time )×100%
I is the ticket buying transfer recommended index, p Late time The late rate for the vehicle to arrive at the transfer station.
2. The method for constructing a transfer recommendation index for ticket purchase in transportation according to claim 1, wherein an outbound is defined as a, a destination is defined as B, a transfer is defined as C, and an angle +.cab between outbound to transfer and outbound to destination is defined as θ 1 The included angle ABC between the outgoing station and the destination station and between the transfer station and the destination station is theta 2 ,θ 1 And theta 2 The calculation method of (1) is as follows:
Figure FDA0004092468750000021
Figure FDA0004092468750000022
wherein X is A 、Y A 、Z A For the coordinate value, X after the longitude and latitude of the departure station A are converted into the Cartesian coordinate system B 、Y B 、Z B Coordinate value, X, after converting longitude and latitude of destination station B into Cartesian coordinate system C 、Y C 、Z C The longitude and latitude of the transfer station C are converted into coordinate values of a Cartesian coordinate system.
3. The transportation ticketing transfer recommendation index construction method according to claim 2, wherein the longitude and latitude of the departure station a are Lng respectively A 、Lat A The longitude and latitude of the destination station B are Lng respectively B 、Lat B The longitude and latitude of the transfer station C are Lng respectively C 、Lat C Converting longitude and latitude of each station into Cartesian coordinate system for representation, X A 、Y A 、Z A Obtained by the following steps:
Figure FDA0004092468750000023
Figure FDA0004092468750000024
Figure FDA0004092468750000025
X B 、Y B 、Z B obtained by the following steps:
Figure FDA0004092468750000031
Figure FDA0004092468750000032
Figure FDA0004092468750000033
X C 、Y C 、Z C obtained by the following steps:
Figure FDA0004092468750000034
Figure FDA0004092468750000035
Figure FDA0004092468750000036
wherein r is the earth radius and takes the value of 6371.393.
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