Analytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule
Statistical Mechanics
2007-05-23 v2 Other Condensed Matter
Abstract
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. By using the car-oriented mean field theory, 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, which may contribute to the exact analytical theory of the NS model, are in excellent agreement with numerical simulations.
Keywords
Cite
@article{arxiv.cond-mat/0407275,
title = {Analytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule},
author = {Chuan-Ji Fu and Chuan-Yang Yin and Tao Zhou and Bo Hu and Bing-Hong Wang and Kun Gao},
journal= {arXiv preprint arXiv:cond-mat/0407275},
year = {2007}
}
Comments
3 pages previous; now 4 pages 2 eps figures