An improved car -following model accounting for the time -delayed velocity difference and backward looking effect
An improved car -following model accounting for the time -delayed velocity difference and backward looking effect
复制标题
考虑时滞速度差和后视效应的改进跟车模型
DOI：
10.1016/j.cnsns.2020.105221
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发表时间：
2020-06-01
影响因子：
3.9
通讯作者：
Zhang, Yaozong
中科院分区：
文献类型：
--
作者：
Ma, Guangyi;Ma, Minghui;Zhang, Yaozong
为了探究时滞速度差和后视效应对交通流的影响，本文在考虑时滞速度差和后视效应的基础上，提出一种基于全速度差模型（FVDM）的改进跟驰模型。利用线性稳定性理论推导了该模型的线性稳定性条件。基于非线性理论，建立瞬态Ginzburg-Landau（TDGL）方程和修正的Korteweg-de Vries（mKdV）方程来描述临界稳定点附近交通密度波的演化。此外，还提供了 TDGL 和 mKdV 方程之间的联系。最后，数值模拟和理论分析的结果表明，该模型不仅可以增强交通流的稳定性，而且可以抑制交通拥堵。
In order to explore the impacts of the time-delayed velocity difference and backward looking effect on traffic flow, this paper proposes an improved car-following model based on the full velocity difference model (FVDM) by accounting for the time-delayed velocity difference and backward looking effect. The linear stability condition of the proposed model is derived by taking advantage of the linear stability theory. The time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are established based on the nonlinear theory to describe the evolution of the traffic density waves near the critical stability point. Moreover, the link between the TDGL and mKdV equations is also provided. Finally, the results from both the numerical simulation and the theoretical analysis show that the proposed model can not only strengthen the stability of traffic flow, but also suppress the traffic congestion.