The Application of the Cellular Automata in Simulating and Analyzing Two-Dimensional Traffic Model

Abstract

Using the BML (Biham, Middleton and Levine) model, a special one of the cellular automata models, the paper simulates and analyzes the two-dimensional traffic system controlled by traffic lights. The relationship among original density, average density and average speed of the traffic flow can be found through computer programs. It can be seen that self-organization phenomenon existed in the processing from the traffic jam status to the movement status when the average density is kept invariable. Then, it analyzes the relationship between the position of critical point and the average density. Finally, it shows the function of critical density in real traffic control