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An extended car-following model considering the low visibility in fog on a highway with slopes

Author

Listed:
  • Jinhua Tan

    (School of Information and Safety Engineering, Zhongnan University of Economics and Law, Wuhan 430073, P. R. China)

  • Li Gong

    (School of Information and Safety Engineering, Zhongnan University of Economics and Law, Wuhan 430073, P. R. China)

  • Xuqian Qin

    (School of Information and Safety Engineering, Zhongnan University of Economics and Law, Wuhan 430073, P. R. China)

Abstract

To depict the effect of low-visibility foggy weather upon traffic flow on a highway with slopes, this paper proposes an extended car-following model taking into consideration the drivers’ misjudgment of the following distance and their active reduction of the velocity. By linear stability analysis, the neutral stability curves are obtained. It is shown that under all the three road conditions: uphill, flat road and downhill, drivers’ misjudgment of the following distance will change the stable regions, while having little effect on the sizes of the stable regions. Correspondingly, drivers’ active reduction of the velocity will increase the stability. The numerical simulations agree well with the analytical results. It indicates that drivers’ misjudgment contributes to a higher velocity. Meanwhile, their active reduction of the velocity helps mitigate the influences of small perturbation. Furthermore, drivers’ misjudgment of the following distance has the greatest effect on downhill and the smallest effect on uphill, so does drivers’ active reduction of the velocity.

Suggested Citation

  • Jinhua Tan & Li Gong & Xuqian Qin, 2019. "An extended car-following model considering the low visibility in fog on a highway with slopes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(11), pages 1-18, November.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:11:n:s0129183119500906
    DOI: 10.1142/S0129183119500906
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    Cited by:

    1. Kang, Chengjun & Qian, Yongsheng & Zeng, Junwei & Wei, Xuting & Zhang, Futao, 2024. "Analysis of stability, energy consumption and CO2 emissions in novel discrete-time car-following model with time delay under V2V environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    2. Junyan Han & Xiaoyuan Wang & Gang Wang, 2022. "Modeling the Car-Following Behavior with Consideration of Driver, Vehicle, and Environment Factors: A Historical Review," Sustainability, MDPI, vol. 14(13), pages 1-27, July.

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