Volume 108, Number 2, October 2014
|Number of page(s)
|Interdisciplinary Physics and Related Areas of Science and Technology
|13 October 2014
Phase diagrams of heterogeneous traffic flow at a single intersection in a deterministic Fukui-Ishibashi cellular automata traffic model
1 School of Mathematics and Physics, Anhui Jianzhu University - Hefei 230601, PRC
2 School of Engineering Science, University of Science and Technology of China - Hefei 230026, PRC
3 Department of Modern Physics, University of Science and Technology of China - Hefei 230026, PRC
4 Complex System Research Center, University of Shanghai for Science and Technology and Shanghai Academy of System Science - Shanghai 200093, PRC
Received: 8 August 2014
Accepted: 24 September 2014
This paper studies heterogeneous traffic flow that comprises two types of vehicles with different lengths at a single intersection consisting of two perpendicular one-lane roads. Based on theoretical analysis and computer simulations, we have presented the phase diagrams which consist of five regions and the topological structure of which is independent of the maximum velocity of vehicles m. The analytical formulas of the flows on the two roads have been obtained in all regions of the phase diagram, which depends on whether m is even or odd or m = 1. The analytical formulas are in good agreement with simulation results.
PACS: 89.40.-a – Transportation / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.Cn – Order-disorder transformations
© EPLA, 2014
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