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A Theory of the Diffusion of Traffic Platoons

Author

Listed:
  • Muriel J. Grace

    (University of Adelaide, South Australia)

  • Renfrey B. Potts

    (University of Adelaide, South Australia)

Abstract

A theoretical investigation is made of the diffusion of a traffic platoon as it moves down a road. The basic assumption of the mathematical model is a kinematical one—that the speeds of the cars in the platoon are distributed normally. The parameters of this distribution are related to a diffusion constant that measures the spreading of the platoon. For certain assumed initial conditions, analytical and numerical solutions of the model are presented and applied to the problem of the coordination of two successive traffic lights.

Suggested Citation

  • Muriel J. Grace & Renfrey B. Potts, 1964. "A Theory of the Diffusion of Traffic Platoons," Operations Research, INFORMS, vol. 12(2), pages 255-275, April.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:2:p:255-275
    DOI: 10.1287/opre.12.2.255
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    Cited by:

    1. Shen, Luou & Liu, Jiajun & Yao, Zhihong & Wu, Weitiao & Yang, Hongtai, 2022. "A new queue shock wave theory based on platoon dispersion modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    2. Qiao, Fengxiang & Yang, Hai & Lam, William H. K., 2001. "Intelligent simulation and prediction of traffic flow dispersion," Transportation Research Part B: Methodological, Elsevier, vol. 35(9), pages 843-863, November.
    3. Yao, Zhihong & Zhao, Bin & Qin, Lingqiao & Jiang, Yangsheng & Ran, Bin & Peng, Bo, 2020. "An efficient heterogeneous platoon dispersion model for real-time traffic signal control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).

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