Nonlinear analysis of the optimal velocity difference model with reaction-time delay

被引：44
|
作者：
Zhou, Jie [1 ,2 ]
Shi, Zhong-Ke [1 ]
Cao, Jin-Liang [1 ,2 ]
机构：
[1] Northwestern Polytech Univ, Coll Automat, Shannxi 710072, Peoples R China
[2] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 396卷
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Optimal velocity difference model; Reaction-time delay; Traffic flow; Numerical simulation; CELLULAR-AUTOMATON MODEL; TRAFFIC FLOW MODEL; DENSITY WAVES; STATES; DYNAMICS; SOLITON; JAMS;
D O I：
10.1016/j.physa.2013.11.007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the effect of reaction-time delay of drivers upon traffic flow analytically and numerically. We extend the optimal velocity difference model by taking reaction-time delay of drivers into account. The stability condition is obtained. The Burgers, Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations are derived in the stable, metastable and unstable regions. The results show that the increase of reaction-time delay of drivers leads to the unrealistic traffic phenomena and unstable traffic flow. By adjusting the coefficient of the velocity and optimal velocity difference, the unrealistic traffic phenomena and unstable traffic flow can disappear. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：77 / 87
页数：11
相关论文
共 50 条
12345