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A Novel Method To Analyze Phase Diagrams For Traffics On The Crossroad

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  • QI-LANG LI

    (Department of Mathematics and Physics, Anhui University of Architecture, Hefei 230601, P. R. China;
    Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China)

  • RUI JIANG

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China)

  • BING-HONG WANG

    (Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China;
    Complex System Research Center, University of Shanghai for Science and Technology and Shanghai Academy of System Science, Shanghai 200093, P. R. China)

  • MU-REN LIU

    (Guangxi Teachers Education University, Nanning 530001, P. R. China)

Abstract

Traffic flow at a single crossroad consisting of two perpendicular one-lane roads, treated earlier by Ishibashi and Fukui [J. Phys. Soc. Jpn.70, 2793 (2001);70, 3747 (2001)], has been studied on the basis of the local occupation probability method. However, in this work, based on the novel theoretical analysis and computer simulations, we have studied this crossroad traffic model again and presented the same phase diagrams of traffic flow in the case of various maximum vehicle velocities. We have also derived the flow formulas in all regions in the phase diagrams, which are in good agreement with computer simulation results. Compared with the previous local occupation probability method, our analytical way is simpler and may be widely used for other traffic bottlenecks research.

Suggested Citation

  • Qi-Lang Li & Rui Jiang & Bing-Hong Wang & Mu-Ren Liu, 2012. "A Novel Method To Analyze Phase Diagrams For Traffics On The Crossroad," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(10), pages 1-8.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:10:n:s0129183112500684
    DOI: 10.1142/S0129183112500684
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