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Impact of interruption probability of the current optimal velocity on traffic stability for car-following model

Author

Listed:
  • Xiaoqin Li

    (College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, P. R. China)

  • Yanyan Zhou

    (School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, P. R. China)

  • Guanghan Peng

    (College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China)

Abstract

Traffic interruption is one of the important factors resulting in traffic jam. Therefore, a new optimal velocity model is established involving the traffic interruption probability for self-expected velocity. Linear stable condition and mKdV equation are deduced with regard to the self-interruption probability of the current optimal velocity from linear stable analysis and nonlinear analysis, respectively. Moreover, numerical simulation reveals that the traffic self-interruption probability of the current optimal velocity can increase traffic stability, which certifies that the traffic self-interruption probability of the current optimal velocity plays important influences on traffic system.

Suggested Citation

  • Xiaoqin Li & Yanyan Zhou & Guanghan Peng, 2022. "Impact of interruption probability of the current optimal velocity on traffic stability for car-following model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-10, March.
    • Handle: RePEc:wsi:ijtafx:v:25:y:2022:i:01:n:s0129183122500413
    DOI: 10.1142/S0129183122500413
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