Phase diagrams of traffic flow at an unsignalized intersection

Abstract

This paper studies phase diagrams of traffic flow at an unsignalized intersection consisting of two perpendicular one-lane roads, employing parallel update rules and yield dynamics. Based on theoretical analysis and computer simulations, we have presented the phase diagram for the cases of various maximum vehicle velocities, and it is found that the phase diagram has several different topology structures. The flow formulas in all regions in the phase diagram have been derived. The results of theoretical analysis are in good agreement with the simulation ones.