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Traffic Dynamics: Studies in Car Following

Published: 01 April 1958 Publication History

Abstract

The manner in which vehicles follow each other on a highway without passing and the propagation disturbances down a line of vehicles has been investigated. Experimental data is presented which indicates that the acceleration at time t of a car which is attempting to follow a leader is proportional to the difference in velocity of the two cars at a time t-Δ, Δ being about 1.5 sec and the proportionality constant being about 0.37 sec-1. It is shown theoretically that the motion of a long line of vehicles becomes unstable when the product of the lag time and the proportionality constant exceeds one-half. The experimental data implies that driving is done on the verge of instability. A variety of other laws of following is analyzed theoretically.

References

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T M MATSON, W S SMITH, AND F W HURD, Traffic Engineering, McGraw-Hill, New York, 1955.
[2]
D L GERLOUGH AND T H MATHEWSON, "Approaches to Operational Problems in Street and Highway Traffic--A Review," Opns Res 4, 32 (1956).
[3]
L A PIPES, J Ap Phys 24, 274 (1953), Inst of Transportation and Traffic Engineering, U of Col report, "A Proposed Dynamic Analogy of Traffic" (1951).
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A REUSCHEL, Zeits d Oesterreich Ing u Arch Vereines 95, 59 and 73 (1950), Oesterreich Ing Archw 4, 193 (1950).
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M J LIGHTHILL AND G B WHITHAM, Proc Royal Soc 229, 317 (1955).
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P I RICHARDS, "Shock Waves on the Highway," Opns Res 4, 42 (1956).
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W PRAGER, "Problems of Traffic and Transportation," Brown University, Mathematics Division (1954).
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G F NEWELL, "Mathematical Models for Freely-Flowing Highway Traffic," Opns Res 3, 176 (1955).
[9]
H H GOODE, C H POLLMAR, AND J B WRIGHT, "The Use of a Digital Computer to Model a Signalized Intersection," IP-146, University of Michigan (1956).
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W J MERRILL, JR AND C A BENNETT, "The Application of Temporal Correlation Techniques in Psychology," J Appl Psychol. 40, 272-280 (1956).

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Published In

cover image Operations Research
Operations Research  Volume 6, Issue 2
April 1958
149 pages

Publisher

INFORMS

Linthicum, MD, United States

Publication History

Published: 01 April 1958

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  • (2024)Research on Following Model Based on K-nearest Neighbor and Information EntropyProceedings of the 2024 International Conference on Computer and Multimedia Technology10.1145/3675249.3675250(1-5)Online publication date: 24-May-2024
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  • (2024)A Pedestrian Trajectory Prediction Model for Right-Turn Unsignalized Intersections Based on Game TheoryIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2024.339864825:8(9643-9658)Online publication date: 1-Aug-2024
  • (2024)A Sequence-to-Sequence Car-Following Model for Addressing Driver Reaction Delay and Cumulative Error in Multi-Step PredictionIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2024.338070825:9(12203-12215)Online publication date: 8-Apr-2024
  • (2023)Jam Propagation Analysis With Mesoscopic Traffic SimulationIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.330368024:12(14162-14173)Online publication date: 1-Dec-2023
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