Analysis of a Car-Following Model with Driver Memory Effect

被引:3
|
作者
Xin, Zhi [1 ]
Xu, Jian [1 ]
机构
[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 04期
关键词
Traffic flow; car-following model; memory effect; hysteresis; stability; TRAFFIC FLOW; DIAGRAM;
D O I
10.1142/S0218127415500571
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A nonlinear car-following model considering memory effect of human drivers is studied by means of theoretical analysis and numerical simulation. We model the memory effect of the response of drivers to the traffic situation for a car-following model by introducing a system variable related to velocity. The memory effect of the drivers is a kind of state-dependent delay. The stability of the car-following model with two kinds of time delay is studied. The hysteresis loop of traffic flow from different initial states is compared. The effect of the maximum time delay on the stability is discussed.
引用
收藏
页数:7
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