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

Xiaoqin Li (), Yanyan Zhou and Guanghan Peng
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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

International Journal of Theoretical and Applied Finance (IJTAF), 2022, vol. 33, issue 03, 1-10

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.

Keywords: Optimal velocity model; numerical simulation; traffic interruption probability (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500413

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