Cellular automaton models and traffic flow
凝聚态物理
2009-10-22 v1
摘要
A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental diagram (flow vs.\ density) for parallel dynamics using an improved mean-field approximation which takes into account short-range correlations. For maximum velocity 1 we find that the simplest non-trivial of these approximations gives already the exact result. For higher velocities our results are in excellent agreement with numerical data.
引用
@article{arxiv.cond-mat/9306017,
title = {Cellular automaton models and traffic flow},
author = {A. Schadschneider and M. Schreckenberg},
journal= {arXiv preprint arXiv:cond-mat/9306017},
year = {2009}
}
备注
7 pages (latex), 3 PostScript figures appended, preprint cologne-93-4711