An improved car-following model considering the influence of optimal velocity for leading vehicle

被引：0
作者：
Liu Fangxun
Cheng Rongjun
Ge Hongxia
Lo Siuming
机构：
[1] Ningbo University,Faculty of Maritime and Transportation
[2] Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies,Department of Civil and Architectural Engineering
[3] National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-centre,undefined
[4] City University of Hong Kong,undefined
来源：
Nonlinear Dynamics | 2016年 / 85卷
关键词：
Traffic flow; Car-following model; Phase transition; TDGL equation; mKdV equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper, an improved car-following model based on the full velocity difference model considering the influence of optimal velocity for leading vehicle on a single-lane road is proposed. The linear stability condition of the model is obtained by applying the linear stability theory. Through nonlinear analysis, the time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived to describe the traffic flow near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Good agreement between the simulation and the theoretical results shows that the improved model can be enhanced the stability of traffic flow.
引用
收藏
页码：1469 / 1478
页数：9
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