VEHICULAR TRAFFIC FLOW CONTROLLED BY TRAFFIC LIGHT ON A STREET WITH OPEN BOUNDARIES

Abdelaziz Mhirech () and Assia Alaoui Ismaili
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Abdelaziz Mhirech: Département de Physique, Laboratoire de Magnétisme et de la Physique des Hautes énergies, Université Mohammed V, Faculté des Sciences, B. P. 1014, Rabat, Morocco
Assia Alaoui Ismaili: Département de Mathématiques, Université Mohammed V, Faculté des Sciences, B. P. 1014, Rabat, Morocco

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 08, 1-9

Abstract: The Nagel–Schreckenberg (NS) cellular automata (CA) model for describing the vehicular traffic flow in a street with open boundaries is studied. To control the traffic flow, a traffic signalization light operating for a fixed-time scheme is placed in the middle of the street. Extensive Monte Carlo simulations are carried out to calculate various model characteristics. Essentially, we investigate the formation of the cars queue behind traffic light dependence on the duration of green lightTg, injecting and extracting probabilities α and β, respectively. Two phases of average training queues were found. Besides, the dependence of car accident probabilityper siteandper time steponTg, α and β is computed.

Keywords: Queue length; probability; traffic flow; density; current; traffic lights; 87.16.Wd (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500502

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