Analytical studies on a modified Nagel–Schreckenberg model with the Fukui–Ishibashi acceleration rule
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چکیده
We propose and study a one-dimensional traffic flow cellular automaton model of high-speed vehicles with the Fukui–Ishibashi-type (FI) acceleration rule for all cars, and the Nagel–Schreckenberg-type (NS) stochastic delay mechanism. We obtain analytically the fundamental diagrams of the average speed and vehicle flux depending on the vehicle density and stochastic delay probability. Our theoretical results are in excellent agreement with numerical simulations. 2005 Elsevier Ltd. All rights reserved.
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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Bing-Hong Wang, P.M. Hui, , Chin-Kun Hu 3 1Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, China Email: [email protected] 2 Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong Email:[email protected] 3 Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan Email:...
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تاریخ انتشار 2005