Analytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule

dc.creatorFu, Chuan-Ji
dc.creatorYin, Chuan-Yang
dc.creatorZhou, Tao
dc.creatorHu, Bo
dc.creatorWang, Bing-Hong
dc.creatorGao, Kun
dc.date2004-07-11
dc.date2005-01-10
dc.date.accessioned2026-07-07T06:27:29Z
dc.date.available2026-07-07T06:27:29Z
dc.descriptionWe 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.
dc.description3 pages previous; now 4 pages 2 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0407275
dc.identifierhttp://arxiv.org/abs/cond-mat/0407275
dc.identifierdoi:10.1016/j.chaos.2005.10.062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97427
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleAnalytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule
dc.typetext

Files

Collections