The effect of stochastic accelerating and delay probability with the velocity and the gap between vehicles on traffic flow

This paper proposes a new combined cellular automaton (CA) modelconsidering the driver behavior of stochastic acceleration and delaywith the velocity of the preceding vehicle and the gap between thesuccessive vehicles based on the WWH model and the noise-first NaSchmodel. It introduces the delay probability varying with the gap,adds the anticipation headway and increases the acceleration with acertain probability. Through these simulations, not only can themetastable state and start--stop wave be obtained but also the synchronized flowwhich the wide moving jam results in. Moreover, theeffect of stochastic acceleration and delay on traffic flow isdiscussed by analyzing the correlation of traffic data. This indicatesthat synchronized flow easily emerges in the critical area betweenfree flow and synchronized flow when acceleration and delay aresynchronized or their probability is close to 0.5.