考虑后视效应和速度差信息的跟驰模型

Effect of backward looking and velocity difference in an extended car following model

考虑后视效应和速度差信息的共同作用,基于全速度差(Full Velocity Difference,FVD)模型,提出了一个扩展的跟驰模型.通过线性稳定性分析,得到了该模型的线性稳定性判据;运用非线性分析方法分析了临界稳定点附近交通流密度波的变化,导出了描述交通阻塞相变时的mKdV方程.对扩展模型进行数值模拟和分析,结果表明考虑后视效应和速度差信息的影响能够增强交通流的稳定性,能有效抑制交通阻塞.

Based on the full velocity difference （FVD） model, an extended car following model is proposed by considering the effect of backward looking and the velocity difference information in the same time. The linear stability condition of the presented model is obtained by employing the linear stability theory. The variation of density wave of traffic flow near the critical point is investigated with the nonlinear analysis method, and then the modified Kortewege-de Vries （mKdV） equation with which the occurrence of traffic jamming transitions can be described is derived. The numerical simulation and corresponding analysis of the extended model shows that by considering the effect of backward-looking and velocity difference information the stability of traffic flow can be enhanced and traffic jam can be suppressed effectively.