Mean Field Theory of Traffic Flow Problems with Overpasses and Asymmetric Distributions of Cars

Abstract

A mean field theory is proposed for two-dimensional (2D) traffic flowmodels.The theory takes into account the effects of overpasses and asymmetricdistribution of cars. The present theory represents a quantitativeimprovement over the previously reported mean field theoryby takinginto account the effects of blockages of cars moving in the same direction.Simulation results for asymmetric distributions of cars in the presence ofoverpasses are also presented.