Study Effects of Maximum Velocity and Delay Probability on Mixed Traffic Flow

Abstract

An improved mixed cellular automaton traffic flow model is proposed via considering the effects of the gap between the successive cars and the velocity on the stochastic delay probability on single lane, in which the stochastic delay probability can be classified into three ones: acceleration, follow and deceleration delay probability. By numerical simulation for the mixed traffic flow with different maximum velocity and stochastic delay probability, it is found that the discontinuous flow exists in the fundamental diagram when the slow car appears. It indicates the slow vehicle dominates traffic jamming. When the mixing ratio f approaches 1, all of vehicles are slow ones and their fundamental diagram shows the saddle shape of flow in the congestion regions. It confirms the flow in the saddle shape takes on the property of synchronization flow by discussion aboutthe cross-correlation function and time-space pattern of traffic.