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

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dc.creatorTakahashi, Daisuke
dc.creatorMatsukidaira, Junta
dc.date2008-09-08
dc.date.accessioned2026-07-07T10:01:21Z
dc.date.available2026-07-07T10:01:21Z
dc.descriptionWe 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.
dc.description6pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0809.1265
dc.identifierhttp://arxiv.org/abs/0809.1265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168607
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectStatistical Mechanics
dc.titleOn a discrete optimal velocity model and its continuous and ultradiscrete relatives
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