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A statistical approach to vehicular traffic

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  • Freund, Jan
  • Pöschel, Thorsten

Abstract

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of the four directions. The flow of cars obeys realistic traffic rules. We investigate the dependence of the average velocity of cars on the global traffic density. At a critical threshold for the density the average velocity reduces drastically caused by jamming. For the low-density regime we provide analytical results which agree with the numerical results.

Suggested Citation

  • Freund, Jan & Pöschel, Thorsten, 1995. "A statistical approach to vehicular traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 95-113.
    • Handle: RePEc:eee:phsmap:v:219:y:1995:i:1:p:95-113
    DOI: 10.1016/0378-4371(95)00170-C
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    References listed on IDEAS

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    1. Stefan Schleicher, 1993. "Internationale Entwicklungen in der Energiebesteuerung," WIFO Studies, WIFO, number 2962.
    2. Takayasu, Misako, 1993. "Characterization of violent fluctuations by interval distributions of level sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 197(3), pages 371-378.
    3. Czirók, A. & Somfai, E. & Vicsek, T., 1994. "Self-affine roughening in a model experiment on erosion in geomorphology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 355-366.
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    Cited by:

    1. Yang, Qiaoli & Shi, Zhongke, 2018. "Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 181-195.

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