A new deterministic CA model for traffic flow with multiple states

Katsuhiro Nishinari, Daisuke Takahashi

    Research output: Contribution to journalArticle

    38 Citations (Scopus)

    Abstract

    In this paper, an ultra-discrete version of Burger's equation, which includes the rule-184 CA model, is extended to treat a higher velocity. The extended model has multiple states at the transition region of car density from free to congested phase in the fundamental diagram. The state of free phase at high density is unstable under perturbation, and its stability is discussed in detail.

    Original languageEnglish
    Pages (from-to)93-104
    Number of pages12
    JournalJournal of Physics A: Mathematical and General
    Volume32
    Issue number1
    DOIs
    Publication statusPublished - 1999 Jan 8

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    ASJC Scopus subject areas

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

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