Nonlinear Analysis of Traffic Model with the Consideration of Multiple Optimal Current Differences’ Anticipation Effect

Abstract

In this paper, we propose a new lattice model by considering the multiple optimal current differences’ anticipation effect on single lane. The linear stability condition is deduced from the linear stability analysis. And the mKdV equation about multiple optimal current differences’ anticipation effect is educed through nonlinear analysis. Furthermore, numerical simulation demonstrates that it efficiently improves the stability of traffic flow for the multiple optimal current differences’ anticipation effect. It is more important that the triple optimal current differences’ anticipation considered is the optimal state in the new model.