Modeling and simulation of traffic flow based on memory effect and driver characteristics

• Published in: Chinese journal of physics (Taipei) 2023-02, Vol.81, p.144-154
• Main Authors: Ma, Guangyi, Li, Keping, Sun, Haining
• Format: Article
• Language: English
• Subjects: Driver characteristics; Memory effect; Nonlinear analysis; Numerical simulation; Traffic flow
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2022.11.008

In this paper, an improvement of the full velocity difference model is presented, which comprehensively considers driver characteristics which include aggressive and timid behaviors and memory effect. The stability condition of the improved model is obtained by making use of the small perturbation method. The Burgers, Korteweg–de Vries and modified Korteweg–de Vries equations are derived by means of the reductive perturbation method. Finally, through numerical simulation, the traffic flow evolution process of the improved model under two typical conditions is observed. The first is the starting process, and the second is the propagation process of disturbance in traffic flow. The results of numerical simulation and theoretical analysis demonstrate that the multiple driver characteristics considered in the improved model have important influences on traffic flow stability and the ease of traffic jams, and the model can quickly recover to its original state in case of the disturbance. [Display omitted] •A new model considering memory effect and driver characteristics is presented.•The stability conditions of the extended model are obtained.•The Burgers, Korteweg-de Vries and modified Korteweg-de Vries equations are gained.•The starting process and the propagation process of disturbance are carried out.