On a discrete optimal velocity model and its continuous and ultradiscrete relatives

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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.
6pages, 8 figures

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Adaptation and Self-Organizing Systems, Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/168607

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1265
 http://arxiv.org/abs/0809.1265

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arXiv