Effects of the stochastic delay probability on traffic flow

Considering the effects of different factors on the stochastic delay probability, we have classified the delay probability into three cases. The first case, corresponding to the deceleration state, has a large delay probability if anticipant velocity is larger than the gap between the successive cars. The second one, corresponding to the leader following stably, has an intermediate delay probability if the anticipant velocity is equal to the gap. The last is the one with acceleration with the minimum delay probability. The fundamental diagram obtained by the numerical simulation shows the different properties compared with that by the NaSch model, in which there exist two different jamming regions corresponding to the coexistent congestion and jamming with different properties of shock wave.