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A New Cellular Automaton Model For Traffic Flow With Different Probability For Drivers

Author

Listed:
  • H. B. ZHU

    (Faculty of Architectural, Civil Engineering and Environment, Ningbo University, Ningbo 315211, China;
    Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)

  • H. X. GE

    (Faculty of Science, Ningbo University, Ningbo 315211, China)

  • S. Q. DAI

    (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)

Abstract

Based on the Nagel–Schreckenberg (NaSch) model of traffic flow, a new cellular automaton (CA) traffic model is proposed to simulate microscopic traffic flow. The probabilitypis a variable which contains a randomly selected term for each individual driver and a density-dependent term which is the same for all drivers. When the rational probabilitypis obtained, the larger value of maximum flow which is close to the observed data can be reached compared with that obtained from the NaSch model. The fundamental diagram obtained by simulation shows the ability of this modified CA model to capture the essential features of traffic flow, e.g., the spontaneous formation of traffic jams and appearance of the metastable state. These indicate that the presented model is more reasonable and realistic.

Suggested Citation

  • H. B. Zhu & H. X. Ge & S. Q. Dai, 2007. "A New Cellular Automaton Model For Traffic Flow With Different Probability For Drivers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 773-782.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:05:n:s0129183107010541
    DOI: 10.1142/S0129183107010541
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    Cited by:

    1. Li, Yixin & Ni, Ying & Sun, Jian & Ma, Zian, 2020. "Modeling the illegal lane-changing behavior of bicycles on road segments: Considering lane-changing categories and bicycle heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Peng, Guanghan & Xu, Mingzuo & Tan, Huili, 2024. "Phase transition in a new heterogeneous macro continuum model of traffic flow under rain and snow weather environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).

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