Discrete stochastic models for traffic flow
摘要
We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties and calculate the so-called fundamental diagrams (flow vs.\ density) for parallel dynamics. This is done numerically by computer simulations of the model and by means of an improved mean-field approximation which takes into account short-range correlations. For cars with maximum velocity 1 the simplest non-trivial approximation gives the exact result. For higher velocities the analytical results, obtained by iterated application of the approximation scheme, are in excellent agreement with the numerical simulations.
引用
@article{arxiv.cond-mat/9412045,
title = {Discrete stochastic models for traffic flow},
author = {M. Schreckenberg and A. Schadschneider and K. Nagel and N. Ito},
journal= {arXiv preprint arXiv:cond-mat/9412045},
year = {2009}
}
备注
Revtex, 30 pages, full postscript version (including figures) available by anonymous ftp from "fileserv1.mi.uni-koeln.de" in the directory "pub/incoming/" paper accepted for publication in Phys.Rev.E