Analytical studies on a modified Nagel-Schreckenberg model with the Fukui-Ishibashi acceleration rule

被引：9

作者：

Fu, Chuan-Ji

Wang, Bing-Hong ^{[1
]}

Yin, Chuan-Yang

Zhou, Tao

Hu, Bo

Gao, Kun

Hui, P. M.

Hu, Chin-Kun

机构：

[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China

[2] Univ Sci & Technol China, Nonlinear Sci Ctr, Hefei 230026, Peoples R China

[3] Chinese Univ Hong Kong, Dept Phys, Shatin, Hong Kong, Peoples R China

[4] Acad Sinica, Inst Phys, Taipei 11529, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 31卷 / 03期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2005.10.062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：772 / 776

页数：5

共 12 条

[1]

[Anonymous], 1996, GROWING ARTIFICIAL S

[2] Statistical physics of vehicular traffic and some related systems [J].