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An improved car-following model from the perspective of driver’s forecast behavior

Author

Listed:
  • Da-Wei Liu

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

  • Zhong-Ke Shi

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

  • Wen-Huan Ai

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

Abstract

In this paper, a new car-following model considering effect of the driver’s forecast behavior is proposed based on the full velocity difference model (FVDM). Using the new model, we investigate the starting process of the vehicle motion under a traffic signal and find that the delay time of vehicle motion is reduced. Then the stability condition of the new model is derived and the modified Korteweg–de Vries (mKdV) equation is constructed to describe the traffic behavior near the critical point. Numerical simulation is compatible with the analysis of theory such as density wave, hysteresis loop, which shows that the new model is reasonable. The results show that considering the effect of driver’s forecast behavior can help to enhance the stability of traffic flow.

Suggested Citation

  • Da-Wei Liu & Zhong-Ke Shi & Wen-Huan Ai, 2017. "An improved car-following model from the perspective of driver’s forecast behavior," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 1-17, April.
  • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:04:n:s0129183117500462
    DOI: 10.1142/S0129183117500462
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    Citations

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    Cited by:

    1. Zhang, Xiangzhou & Shi, Zhongke & Yang, Qiaoli & An, Xiaodong, 2024. "Impacts of visuo-spatial working memory on the dynamic performance and safety of car-following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    2. Zhang, Jing & Gao, Qian & Tian, Junfang & Cui, Fengying & Wang, Tao, 2024. "Car-following model based on spatial expectation effect in connected vehicle environment: modeling, stability analysis and identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    3. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Research on the influence of multiple historical speed information with different weight distribution on traffic flow stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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