Multi-value cellular automaton models and metastable states in a congested phase

Katsuhiro Nishinari, Daisuke Takahashi

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    71 Citations (Scopus)


    In this paper, a family of multi-value cellular automaton (CA) associated with traffic flow is presented. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the family show both metastable states and stop-and-go waves, which are often observed in real traffic flow. Metastable states in the models exist not only on a prominent part of a free phase but also in a congested phase.

    Original languageEnglish
    Pages (from-to)7709-7720
    Number of pages12
    JournalJournal of Physics A: Mathematical and General
    Issue number43
    Publication statusPublished - 2000 Nov 3


    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Mathematical Physics

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