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Biham–Middleton–Levine model with four-directional traffic

Author

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  • Huang, Ding-wei
  • Huang, Wei-neng

Abstract

We study the four-directional traffic flow on a two-dimensional lattice. In the case of discrete densities, we assume equal number of vehicles in each lane. Except for the minimum density, the gridlock emerges swiftly. Two kinds of gridlock have been observed. The global gridlock dominates the system when the density is twice the minimum value. At higher densities, the system is pervaded by local gridlocks. We also analyze the time evolution of average speed. In the case of continuous densities, the vehicle numbers vary from lane to lane. The global gridlock is then destroyed by the fluctuations; while the local gridlock can still be observed.

Suggested Citation

  • Huang, Ding-wei & Huang, Wei-neng, 2006. "Biham–Middleton–Levine model with four-directional traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 747-755.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:747-755
    DOI: 10.1016/j.physa.2006.02.026
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    Cited by:

    1. Cámpora, Daniel & de la Torre, Jaime & García Vázquez, Juan Carlos & Caparrini, Fernando Sancho, 2010. "BML model on non-orientable surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3290-3298.

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