A traffic flow lattice model considering relative current influence and its numerical simulation

作     者：孙棣华 田川 刘卫宁 

作者机构：College of AutomationChongqing University College of ComputerChongqing University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2010年第19卷第8期

页      面：241-246页

核心收录：

学科分类：08[工学] 082303[工学-交通运输规划与管理] 082302[工学-交通信息工程及控制] 0823[工学-交通运输工程] 

基　　金：Project supported by the National High Technology Research and Development Program of China(Grant No.511-0910-1031) 

主　　题：traffic flow relative current lattice model numerical simulation 

摘      要：Based on Xue＇s lattice model, an extended lattice model is proposed by considering the relative current information about next-nearest-neighbour sites ahead. The linear stability condition of the presented model is obtained by employing the linear stability theory. The density wave is investigated analytically with the perturbation 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 simulation results are in good agreement with the analytical results, showing that the stability of traffic flow can be enhanced when the relative current of next-nearest-neighbour sites ahead is considered.