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A Generalization of Linear Car-Following Theory

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  • Gentry Lee

    (The Martin Company, Denver, Colorado)

Abstract

The linear theory of single-lane traffic flow is generalized by using an integral transform technique well-known in other branches of applied science. This technique introduces the idea of a memory function that describes the way in which a driver processes the information he receives from a lead vehicle. Several analytical examples are computed and the earlier linear model is discussed as a special case of the more general theory.

Suggested Citation

  • Gentry Lee, 1966. "A Generalization of Linear Car-Following Theory," Operations Research, INFORMS, vol. 14(4), pages 595-606, August.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:4:p:595-606
    DOI: 10.1287/opre.14.4.595
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    Cited by:

    1. Pengcheng Fan & Jingqiu Guo & Haifeng Zhao & Jasper S. Wijnands & Yibing Wang, 2019. "Car-Following Modeling Incorporating Driving Memory Based on Autoencoder and Long Short-Term Memory Neural Networks," Sustainability, MDPI, vol. 11(23), pages 1-15, November.
    2. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    3. Sun, Lu & Jafaripournimchahi, Ammar & Kornhauser, Alain & Hu, Wushen, 2020. "A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    4. Robin, Th. & Antonini, G. & Bierlaire, M. & Cruz, J., 2009. "Specification, estimation and validation of a pedestrian walking behavior model," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 36-56, January.
    5. Pei, Xin & Pan, Yan & Wang, Haixin & Wong, S.C. & Choi, Keechoo, 2016. "Empirical evidence and stability analysis of the linear car-following model with gamma-distributed memory effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 311-323.
    6. Xin Chang & Xingjian Zhang & Haichao Li & Chang Wang & Zhe Liu, 2022. "A Survey on Mixed Traffic Flow Characteristics in Connected Vehicle Environments," Sustainability, MDPI, vol. 14(13), pages 1-22, June.

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