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Stabilization effect of multiple drivers’ desired velocities in car-following theory

Author

Listed:
  • Zhang, Geng
  • Zhao, Min
  • Sun, Di-Hua
  • Liu, Wei-Ning
  • Li, Hua-Min

Abstract

In order to reveal the influence of driver’s individual behavior on traffic flow more accurately, a new car-following model is proposed with consideration of multiple drives’ desired velocities. The stability criterion of the new model is derived through linear stability theory and the results show that the current driver’s desired velocity can stabilize traffic flow but the preceding driver’s desired velocity can damage traffic stability. Through nonlinear analysis, the traffic jamming transition characteristics near the critical point can be described by the kink–antikink soliton of the mKdV equation. Numerical simulation confirms the analytical results, which shows that the multiple drivers’ desired velocities play an important role in traffic evolution.

Suggested Citation

  • Zhang, Geng & Zhao, Min & Sun, Di-Hua & Liu, Wei-Ning & Li, Hua-Min, 2016. "Stabilization effect of multiple drivers’ desired velocities in car-following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 532-540.
    • Handle: RePEc:eee:phsmap:v:442:y:2016:i:c:p:532-540
    DOI: 10.1016/j.physa.2015.09.022
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    Citations

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    Cited by:

    1. Hosen, Md. Zakir & Hossain, Md. Anowar & Tanimoto, Jun, 2024. "Traffic model for the dynamical behavioral study of a traffic system imposing push and pull effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    2. Shuaiyang Jiao & Shengrui Zhang & Bei Zhou & Zixuan Zhang & Liyuan Xue, 2020. "An Extended Car-Following Model Considering the Drivers’ Characteristics under a V2V Communication Environment," Sustainability, MDPI, vol. 12(4), pages 1-18, February.
    3. Liu, Xiaoyu & Zhao, Min & Sun, Dihua & Wang, Shihui & Zhang, Yicai, 2023. "Adaptive fault-tolerant controller and operation strategies designed for mixed vehicular platoons in the vicinity of a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    4. Wang, Pengcheng & Yu, Guizhen & Wu, Xinkai & Qin, Hongmao & Wang, Yunpeng, 2018. "An extended car-following model to describe connected traffic dynamics under cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 351-370.
    5. Liu, Hui & Sun, Dihua & Liu, Weining, 2016. "Lattice hydrodynamic model based traffic control: A transportation cyber–physical system approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 795-801.

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