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Coarse-Grained Cellular Automaton For Traffic Systems

Author

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  • MAŁGORZATA J. KRAWCZYK

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland)

  • KRZYSZTOF KUŁAKOWSKI

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland)

Abstract

A coarse-grained cellular automaton is proposed to simulate traffic systems. There, cells represent road sections. A cell can be in two states: jammed or passable. Numerical calculations are performed for a piece of square lattice with open boundary conditions, for the same piece with some cells removed and for a map of a small city. The results indicate the presence of a phase transition in the parameter space, between two macroscopic phases: passable and jammed. The results are supplemented by exact calculations of the stationary probabilities of states for the related Kripke structure constructed for the traffic system. There, the symmetry-based reduction of the state space allows to partially reduce the computational limitations of the numerical method.

Suggested Citation

  • Małgorzata J. Krawczyk & Krzysztof Kułakowski, 2013. "Coarse-Grained Cellular Automaton For Traffic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 1-13.
  • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:03:n:s0129183113500113
    DOI: 10.1142/S0129183113500113
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