Affiliation:
1. College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, P. R. China
2. School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, P. R. China
3. 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.
Funder
National Natural Science Foundation of China
Guangxi Natural Science Foundation
Guangxi Innovation-Driven Development Special Fund
Scientific Research Fund of Hunan Provincial Education Department, China
Foundation of Hunan University of Arts and Science, China
Scientific Research Foundation of Hunan University of Arts and Science, China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
5 articles.
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