Cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg models - art. no. 056117

We propose and study a one-dimensional traffic flow cellular automaton mode l of high-speed vehicles with the Fukui-Ishibashi-type acceleration for all cars, and the Nagel-Schreckenberg-type (NS) stochastic delay only for cars following the trail of the car ahead. The main difference in the delay sce nario between our model and the NS model is that a car with spacing ahead l onger than the velocity limit M may not be delayed in our model. By using a car-oriented mean-field theory, we analytically derive fundamental diagram s of the average speed as a function of the car density. Our theoretical re sults are in excellent agreement with numerical simulations.