An extended multi-anticipative delay model of traffic flow

作者：Hua, Yanmei^*; Ma, Tianshan; Chen, Jianzhong

来源：Communications in Nonlinear Science & Numerical Simulation, 2014, 19(9): 3128-3135.

DOI：10.1016/j.cnsns.2014.02.006

• Multi-anticipative model
• Reaction-time delay
• Traffic flow
• Stability analysis

An extended multi-anticipative delay model is proposed by introducing multiple velocity differences and incorporating the reaction-time delay of drivers. The stability condition of the new model is obtained by applying the linear stability theory, and the modified Korteweg-de Vries (mKdV) equation is derived by the use of the nonlinear analysis method. The analytical and numerical results show that both the reaction-time delay of drivers and the information of multiple velocity differences have an important influence on the stability of the model, and that the stabilization of traffic flow is enhanced by appending the velocity difference information of multiple vehicles ahead or by decreasing the delay time.

• 出版日期2014-9
• 单位长安大学; 西北工业大学