Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton

Minoru Fukui, Katsuhiro Nishinari, Daisuke Takahashi, Yoshihiro Ishibashi

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    A two-lane cellular automaton traffic model equivalent to the extended Burgers cellular automaton has been proposed, and evolution equations for cars on the two-lane road are obtained. Configurations of cars on the road are simulated by using the equations and many metastable local congested states are found in two-dimensional region on density-flow diagram. There are three typical states in the congested states: The first is that cars advance by stop- and go-flow on their own lanes without lane-change and values of the flow are stable in time. The second is that cars change the lane periodically with several time-steps. The third is that they advance changing the lane that induces fluctuating of the flow with extremely long period. This fluctuating flow exists in wide range between car densities 5/12 and 3/4. The metastable states are discussed in connection with the synchronized states observed in the traffic flow on expressway.

    Original languageEnglish
    Pages (from-to)226-238
    Number of pages13
    JournalPhysica A: Statistical Mechanics and its Applications
    Volume303
    Issue number1-2
    DOIs
    Publication statusPublished - 2002 Jan 1

    Fingerprint

    Traffic Model
    cellular automata
    Cellular Automata
    traffic
    roads
    Flow diagram
    Metastable States
    Cellular Automaton Model
    Traffic Flow
    Evolution Equation
    metastable state
    Configuration
    diagrams
    Range of data
    configurations

    Keywords

    • Extended Burgers CA
    • Metastable state
    • Synchronized flow
    • Traffic model

    ASJC Scopus subject areas

    • Mathematical Physics
    • Statistical and Nonlinear Physics

    Cite this

    Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton. / Fukui, Minoru; Nishinari, Katsuhiro; Takahashi, Daisuke; Ishibashi, Yoshihiro.

    In: Physica A: Statistical Mechanics and its Applications, Vol. 303, No. 1-2, 01.01.2002, p. 226-238.

    Research output: Contribution to journalArticle

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