On a discrete optimal velocity model and its continuous and ultradiscrete relatives
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概要
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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.
著者
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Matsukidaira Junta
Department Of Applied Mathematics And Informatics Faculty Of Science And Technology Ryukoku Universi
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Takahashi Daisuke
Department Of Applied Chemistry Faculty Of Science And Technology Keio University
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Takahashi Daisuke
Department of Applied Mathematics, Waseda University
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