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The effect of traffic light on accident probability in open and periodic boundaries system

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  • Mhirech, Abdelaziz
  • Alaoui-Ismaili, Assia

Abstract

In this paper we numerically study the dependence of car accident probability Pac, per site and per time step on cycle time T of traffic light, both in open and periodic boundaries system. In this study one traffic light is placed in the middle of the system. This work is based on Nagel and Schreckenberg (NaSch) model (Nagel and Schreckenberg (1992)) in parallel dynamics. The Pac dependence on T and the (α,β) phase diagrams are established. α and β are the injecting and extracting rates of cars in the traffic lane respectively. The increase of the cycle time light T causes an important decrease of the accident probability Pac both in the open and periodic cases.

Suggested Citation

  • Mhirech, Abdelaziz & Alaoui-Ismaili, Assia, 2015. "The effect of traffic light on accident probability in open and periodic boundaries system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 226-231.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:226-231
    DOI: 10.1016/j.physa.2015.03.050
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