Multiple car-following model of traffic flow and numerical simulation

作     者：彭光含 孙棣华 

作者机构：College of AutomationChongqing University College of Physics and ElectronicsHunan University of Arts and Sciences 

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

年 卷 期：2009年第18卷第12期

页      面：5420-5430页

核心收录：

学科分类：081803[工学-地质工程] 08[工学] 0818[工学-地质资源与地质工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 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 Tech Research and Development Program of China (Grant No 511-0910-1031) the National "10th Five-year" Science and Technique Important Program of China (Grant No 2002BA404A07) 

主　　题：traffic flow optimal velocity model numerical simulation 

摘      要：On the basis of the full velocity difference （FVD） model, an improved multiple car-following （MCF） model is proposed by taking into account multiple information inputs from preceding vehicles. The linear stability condition of the model is obtained by using the linear stability theory. Through nonlinear analysis, a modified Korteweg-de Vries equation is constructed and solved. The traffic jam can thus be described by the klnk-antikink soliton solution for the mKdV equation. The improvement of this new model over the previous ones lies in the fact that it not only theoretically retains many strong points of the previous ones, but also performs more realistically than others in the dynamical evolution of congestion. Furthermore, numerical simulation of traffic dynamics shows that the proposed model can avoid the disadvantage of negative velocity that occurs at small sensitivity coefficients λ in the FVD model by adjusting the information on the multiple leading vehicles. No collision occurs and no unrealistic deceleration appears in the improved model.