Flow of Cars Crossing with Unequal Velocities in a Two-Dimensional Cellular Automaton Model

Abstract

Simulation has been performed for traffic flow in two-dimensional cellular automaton models including cars with unequal velocities: the northbound cars with a normal speed and the eastbound cars with a high speed. For the eastbound high speed cars, two models are considered. In the model I, the intrinsic velocity is defined for all eastbound cars. In the model II, the maximum velocity, acceleration and deceleration of the cars are taken into account. It has turned out that two new phases appear between the free-moving phase and the global jamming phase in both models. One is the one-sided blocking phase where the northbound cars block the high speed eastbound cars. Another is the mutual blocking phase where the cars on both roads are mutually blocked. The mean velocity of the cars and the size of the local jam are obtained.