A NOVEL METHOD TO ANALYZE PHASE DIAGRAMS FOR TRAFFICS ON THE CROSSROAD

Qi-Lang Li (), Rui Jiang (), Bing-Hong Wang () and Mu-Ren Liu
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Qi-Lang Li: Department of Mathematics and Physics, Anhui University of Architecture, Hefei 230601, 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;
Mu-Ren Liu: Guangxi Teachers Education University, Nanning 530001, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 10, 1-8

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.

Keywords: Phase diagram; traffic; crossroad; cellular automata; 89.40.-a; 05.50.+q; 64.60.Cn; 05.70.Ln (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500684

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