On a discrete optimal velocity model and its continuous and ultradiscrete relatives
Adaptation and Self-Organizing Systems
2008-09-09 v1 Statistical Mechanics
Abstract
We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a piecewise-linear type of traffic flow model is obtained. Both models show phase transition from free flow to jam in a fundamental diagram. Moreover, the ultradiscrete model includes the Fukui-Ishibashi model in a special case.
Keywords
Cite
@article{arxiv.0809.1265,
title = {On a discrete optimal velocity model and its continuous and ultradiscrete relatives},
author = {Daisuke Takahashi and Junta Matsukidaira},
journal= {arXiv preprint arXiv:0809.1265},
year = {2008}
}
Comments
6pages, 8 figures