Traffic Flow CA Model in Which Only the Cars Following the Trail of the Ahead Car Can Be Delayed
نویسندگان
چکیده
We propose and study a one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with rapid acceleration as in Fukui-Ishibashi (FI) model and with stochastic delay as in Nagel-Schreckenberg (NS) model. This model is different from the NS model in that only the cars following the trail of the ahead car can be delayed. In other words, a car with spacing ahead longer than the car velocity limit M can not be delayed in the new model. By using a spacing-oriented mean field theory, we derive a set of equations describing the fundamental diagram curve, which gives the average speed and the vehicle flux as a function of the car density, for any high velocity limit M . Our theoretical results are in excellent agreement with numerical simulations.
منابع مشابه
Cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg models.
We propose and study a one-dimensional traffic flow cellular automaton model 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 scenario between our model and the NS model is that a car with spacing ahead longer than the velocit...
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