An extended mean-field lattice hydrodynamic model with consideration of the average effect of multi-lattice interaction

Abstract

In this paper, an extended mean-field lattice hydrodynamic model is proposed which considers the average effect of multi-lattices interaction. By stability analysis, the linear stability criterion of the proposed model is given. Through nonlinear analysis, we derive the mKdV equation to investigate the traffic jams described by traffic density wave. Then, the numerical simulations are carried out. The simulation results show that that the average effect of multi-lattices interaction plays the great important part in curbing traffic congestion. Increasing the impact of the mean-field multi-lattices interaction can curb the congestion effectively and make the traffic system more stable.