TDGL and mKdV equations for an extended car-following model

被引：0
|
作者：
Han Song
Pengjun Zheng
Hongxia Ge
机构：
[1] Ningbo University,Faculty of Maritime and Transportation
[2] Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies,undefined
[3] National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-centre,undefined
来源：
Nonlinear Dynamics | 2017年 / 90卷
关键词：
Traffic flow; Car-following model; Energy consumption; mKdV Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we construct an improved car-following model by accounting for the effect of the optimal velocity difference and a two-velocity difference. The effect of this model is examined through the linear stability analysis. The TDGL equation and the mKdV equation are derived from nonlinear analysis. Then, the energy consumption and the stability in car-following models considering the optimal velocity difference and a two-velocity difference are discussed. Moreover, numerical simulation shows that the new model can improve the stability of traffic flow, which is consistent with the theoretical analysis.
引用
收藏
页码：2253 / 2262
页数：9
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