A stochastic cellular automaton model for traffic flow with multiple metastable states
Statistical Mechanics
2009-11-10 v1
Abstract
A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this model shows multiple metastable branches near the transition density from free to congested traffic, which form a wide scattering area in the fundamental diagram. The stability of these branches and their velocity distributions are explicitly studied by numerical simulations.
Cite
@article{arxiv.cond-mat/0311194,
title = {A stochastic cellular automaton model for traffic flow with multiple metastable states},
author = {Katsuhiro Nishinari and Minoru Fuku and Andreas Schadschneider},
journal= {arXiv preprint arXiv:cond-mat/0311194},
year = {2009}
}
Comments
11 pages, 20 figures, submitted for publication