Self-Organization in Four-Direction Traffic-Flow Model.

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  • Honda Yasushi
    Department of Computer and Mathematical Sciences,<BR>Graduate School of Information Sciences, Tohoku University,<BR>04, Sendai 980-8579
  • Horiguchi Tsuyoshi
    Department of Computer and Mathematical Sciences,<BR>Graduate School of Information Sciences, Tohoku University,<BR>04, Sendai 980-8579

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We propose a four-direction traffic-flow model and its modified model with four types of cars on a two-dimensional network; cars of each type go straight toward one of four directions or turn to the left with the probability γ at each crossing. We use cellular automata to describe the models and investigate their properties by means of numerical simulations. It turns out that the models have a sort of continuous transition from a free-moving phase to a traffic-jam phase as the density of cars increases. The continuous transition is due to a self-organization by core configurations. The modified model is defined by imposing restriction rules for formation of some of core configurations to the original model. An average velocity of cars in the free-moving phase is analytically estimated within a one-body approximation for the modified model.

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