A new car-following model with two delays

被引：48
|
作者：
Yu, Lei [1 ]
Shi, Zhong-ke [1 ]
Li, Tong [2 ]
机构：
[1] Northwestern Polytech Univ, Coll Automat, Xian, Shaanxi, Peoples R China
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
PHYSICS LETTERS A | 2014年 / 378卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Car-following model; Two time delays; Stability condition; mKdV equation; Traffic jams; CELLULAR-AUTOMATON MODEL; TRAFFIC FLOW; DENSITY WAVES; DYNAMICS; SOLITON; JAMS;
D O I：
10.1016/j.physleta.2013.11.030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new car-following model is proposed by taking into account two different time delays in sensing headway and velocity. The effect of time delays on the stability analysis is studied. The theoretical and numerical results show that traffic jams are suppressed efficiently when the difference between two time delays decreases and those can be described by the solution of the modified Korteweg-de Vries (mKdV) equation. Traffic flow is more stable with two delays in headway and velocity than in the case with only one delay in headway. The impact of local small disturbance to the system is also studied. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：348 / 357
页数：10
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