考虑驾驶员预估效应的交通流格子模型与数值仿真  

A traffic flow lattice model with the consideration of driver anticipation effect and its numerical simulation

作　　者：孙棣华[1] 田川[1] 

机构地区：[1]重庆大学自动化学院,重庆400030

出　　处：《物理学报》2011年第6期836-842,共7页Acta Physica Sinica

基　　金：国家高技术研究发展计划(批准号:511-0910-1031);高等学校博士学科点专项科研基金(批准号:2009019111022)资助的课题~~

摘　　要：考虑驾驶员的预估效应对车流的影响,提出了一个改进的一维交通流格子模型.基于线性稳定性理论得到了该模型的线性稳定性判据;运用非线性分析方法导出了描述交通阻塞相变时的mKdV方程.应用数值仿真验证了mKdV方程的解,研究表明适当考虑车流中预估效应的作用能够增强交通流稳定性,从而能有效抑制交通阻塞的形成.With the consideration of the effect of driver anticipation behavior on traffic flow,a new one-dimensional lattice model is proposed.The linear stability condition of the presented model is obtained by employing the linear stability theory.The density wave near the critical stable point is investigated analytically with the nonlinear analysis method.The results show that the occurrence of traffic jamming transitions can be described by the kink-antikink solution of the modified Korteweg-de Vries（mKdV） equation.The good agreement between the simulation results and the analytical results shows that the stability of traffic flow can be enhanced when the effect of driver anticipation behavior is considered.

关 键 词：预估效应 交通流 格子模型 数值仿真 

分 类 号：U491.112[交通运输工程—交通运输规划与管理]