Stabilisation analysis of multiple car-following model in traffic flow

作     者：彭光含 

作者机构：College of Physics and Electronic ScienceHunan University of Arts and Science 

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

年 卷 期：2010年第19卷第5期

页      面：434-441页

核心收录：

学科分类：03[法学] 08[工学] 081302[工学-建筑设计及其理论] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0704[理学-天文学] 0306[法学-公安学] 

基　　金：Project supported by the Natural Science Foundation of Hunan Province,China (Grant No. 07JJ6106) the Important Project of Scientific Research Foundation of Hunan University of Arts and Science,China (Grant No. JJZD0902) the Fund of the 11th Five-year Plan for Key Construction Academic Subject of Hunan Province,China (Grant No. 06GXCD02) 

主　　题：traffic flow optimal velocity model numerical simulation 

摘      要：An improved multiple car-following model is proposed by considering the arbitrary number of preceding cars, which includes both the headway and the velocity difference of multiple preceding cars. The stability condition of the extended model is obtained by using the linear stability theory. The modified Korteweg-de Vries equation is derived to describe the traffic behaviour near the critical point by applying the nonlinear analysis. Traffic flow can be also divided into three regions： stable metastable and unstable regions. Numerical simulation is in accordance with the analytical result for the model. And numerical simulation shows that the stabilisation of traffic is increasing by considering the information of more leading cars and there is unavoidable effect on traffic flow from the multiple leading cars information.