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.
This study examines the cellular automata traffic flow model, which considers the heterogeneity of vehicle acceleration and the delay probability of vehicles. Computer simulations are used to identify three typical phases in the model: free-flow, synchronized flow, and wide moving traffic jam. In the synchronized flow region of the fundamental diagram, the low and high velocity vehicles compete with each other and play an important role in the evolution of the system. The analysis shows that there are two types of bistable phases. However, in the original Nagel and Schreckenberg cellular automata traffic model, there are only two kinds of traffic conditions, namely, free-flow and traffic jams. The synchronized flow phase and bistable phase have not been found.
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