A new two-lane lattice model by considering predictive effect in traffic flow

Abstract

In this paper, a new hydrodynamic lattice model is proposed by considering the predictive effect in traffic flow and the optimal current difference effect (OCDE) on two-lane unidirectional traffic system. The model is further analyzed theoretically by the means of stability analysis. The influence of the predictive effect with the consideration of OCDE is analyzed on traffic stream stability through linear stability analysis in a two-lane system when lane changing is allowed. The mKdV equation is derived by using nonlinear stability analysis and the density wave in terms of the kink–antikink wave is obtained around the critical point. It is observed that the predictive effect plays an important role to enhance the stability of traffic flow in a two-lane system. Numerical simulation verifies the theoretical predictions which confirms that the traffic jam can be suppressed more effectively by taking predictive effect in a traffic system when lane changing is permitted.