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Stabilization Analysis Of A Multiple Look-Ahead Model With Driver Reaction Delays

Author

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  • JIANZHONG CHEN

    (College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • ZHONGKE SHI

    (College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • YANMEI HU

    (College of Science, Chang'an University, Xi'an, Shaanxi 710064, P. R. China)

Abstract

A multiple look-ahead model is extended to take into account the reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. Through nonlinear analysis, the Korteweg–de Vries (KdV) equation near the neutral stability line and the modified KdV (mKdV) equation near the critical point are derived. Both the analytical and simulation results demonstrate that the stabilization of traffic flow is weakened with increasing the reaction-time delay of drivers, and multiple look-ahead consideration could partially remedy this unfavorable effect.

Suggested Citation

  • Jianzhong Chen & Zhongke Shi & Yanmei Hu, 2012. "Stabilization Analysis Of A Multiple Look-Ahead Model With Driver Reaction Delays," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(06), pages 1-16.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:06:n:s0129183112500489
    DOI: 10.1142/S0129183112500489
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    Citations

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    Cited by:

    1. Hu, Yanmei & Ma, Tianshan & Chen, Jianzhong, 2021. "Multi-anticipative bi-directional visual field traffic flow models in the connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    2. Chen, Jianzhong & Liang, Huan & Li, Jing & Xu, Zhaoxin, 2021. "A novel distributed cooperative approach for mixed platoon consisting of connected and automated vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    3. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.

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