THE EFFECT OF THE HETEROGENEITY ON THE TRAFFIC FLOW BEHAVIOR

K. Jetto (), H. Ez-Zahraouy and A. Benyoussef
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K. Jetto: Laboratoire de Magnétisme et de la Physique des Hautes Énergies, Université Mohammed V, Faculté des Sciences, Avenue Ibn Batouta, B. P. 1014 Rabat, Morocco
H. Ez-Zahraouy: Laboratoire de Magnétisme et de la Physique des Hautes Énergies, Université Mohammed V, Faculté des Sciences, Avenue Ibn Batouta, B. P. 1014 Rabat, Morocco
A. Benyoussef: Laboratoire de Magnétisme et de la Physique des Hautes Énergies, Université Mohammed V, Faculté des Sciences, Avenue Ibn Batouta, B. P. 1014 Rabat, Morocco

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 11, 1311-1327

Abstract: We propose a traffic flow model which takes into account the disorder in the length and the maximal speed of cars. Using cellular automaton model in parallel dynamics we have studied the behavior of traffic flow, especially the condition of formation (active phase) and the dissociation (absorbing phase) of platoons. It is found that the transition from active to absorbing phase depend on the length of the slow vehiclesL2. Indeed, the transition is discontinuous forL2= 1and continuous whenL2> 1. In the later case, the critical exponent is calculated near the transition density, and the space-time diagram shows the presence of the two phases. Furthermore, we have found that the fundamental diagram exhibit a plateau which depend on the size of the system.

Keywords: Cellular automata; traffic flow; absorbing phase transitions; heterogeneity; 05.50.+q; 64.60.Cn; 75.30.Kz; 82.20.wt (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015865

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