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The influence of continuous historical velocity difference information on micro-cooperative driving stability

Author

Listed:
  • Yang, Liang-Yi
  • Sun, Di-Hua
  • Zhao, Min
  • Cheng, Sen-Lin
  • Zhang, Geng
  • Liu, Hui

Abstract

In this paper, a new micro-cooperative driving car-following model is proposed to investigate the effect of continuous historical velocity difference information on traffic stability. The linear stability criterion of the new model is derived with linear stability theory and the results show that the unstable region in the headway-sensitivity space will be shrunk by taking the continuous historical velocity difference information into account. Through nonlinear analysis, the mKdV equation is derived to describe the traffic evolution behavior of the new model near the critical point. Via numerical simulations, the theoretical analysis results are verified and the results indicate that the continuous historical velocity difference information can enhance the stability of traffic flow in the micro-cooperative driving process.

Suggested Citation

  • Yang, Liang-Yi & Sun, Di-Hua & Zhao, Min & Cheng, Sen-Lin & Zhang, Geng & Liu, Hui, 2018. "The influence of continuous historical velocity difference information on micro-cooperative driving stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 294-301.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:294-301
    DOI: 10.1016/j.physa.2017.12.044
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    Cited by:

    1. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 752-761.
    2. Zhang, Geng & Yin, Le & Pan, Dong-Bo & Zhang, Yu & Cui, Bo-Yuan & Jiang, Shan, 2020. "Research on multiple vehicles’ continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).

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