One-Lane Traffic Flow Simulation Model Based on Imaginary Slope with Changing Tail Length

In recent years, cellular automaton method has been widely applied in modeling of traffic problems. Cellular automaton models could simulate acceleration, random deceleration and determined deceleration characteristics and lot of traffic phenomenon. Since the calculation results of cellular automation models are related to how the road is separated and the time step, they apparently have the characteristics what static models have. Imaginary slop model introduces a kind of auxiliary slope to represent the velocity restriction performed by a leading car. The related algorithm is a kind of continuous and analytical algorithm. For a giving slope length, the cars might be separated too far when the cars run slow or might be separated too near when the cars run fast. To this end, we let the slope length varied with the speed of the followed car. In this way another one way traffic simulation model based on imaginary slope with changing length is gotten. Simulation results showed that this kind of model could avoid colliding with each other when the cars run fast and the cars could approach their leading cars sufficiently when the cars run slow. This is coincident with the real tendency.