A new lattice model accounting for multiple optimal current differences’ anticipation effect in two-lane system

Abstract

This paper extends a two-lane lattice hydrodynamic traffic flow model to take into account the driver’s anticipation effect in sensing the multiple optimal current differences. Based on the proposed model, we derive analytically the effect of driver’s anticipation of multiple optimal current differences on the instability of traffic dynamics. The phase diagrams have been plotted and discussed that the stability region enhances with anticipation effect in sensing multiple optimal current differences. Through simulation, it is found that the oscillation of density wave around critical density decreases with an increase in lattice number and anticipation time for transient and steady state. The simulation results are in good agreement with the theoretical analysis, which show that considering the driver’s anticipation of multiple optimal current differences in two-lane lattice model stabilizes the traffic flow and suppresses the traffic jam efficiently.