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The Optimal Velocity Traffic Flow Models With Open Boundary


 
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1. Title Title of document The Optimal Velocity Traffic Flow Models With Open Boundary
 
2. Creator Author's name, affiliation, country H. Ez-Zahraouy; Laboratoire de Magnétisme et de Physique des Hautes Energies Departement de physique, Faculté des Sciences, B.P.1014, Rabat; Morocco
 
2. Creator Author's name, affiliation, country Z. Benrihane; Laboratoire de Magnétisme et de Physique des Hautes Energies Departement de physique, Faculté des Sciences, B.P.1014, Rabat; Morocco
 
2. Creator Author's name, affiliation, country A. Benyoussef; Laboratoire de Magnétisme et de Physique des Hautes Energies Departement de physique, Faculté des Sciences, B.P.1014, Rabat; Morocco
 
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4. Description Abstract The effects of the open boundaries on the dynamical behavior of the optimal velocity traffic flow models with a delay time τ allowing the car to reach its optimal velocity is studied using numerical simulations. The particles could enter the chain with a given injecting rate probability α, and could leave the system with a given extracting rate probability β. In the absence of the variation of the delay time ∆τ, it is found that the transition from unstable to metastable and from metastable to stable state occur under the effect of the probabilities rates α and β. However, for a fixed value of α, there exist a critical value of the extraction rate βc1 above which the wave density disappears and the metastable state appears and a critical value βc2 above which the metastable state disappears while the stable state appears. βc1 and βc2 depend on the values of α and the variation of the delay time ∆τ. Indeed βc1 and βc2 increase when increasing α and/or decreasing ∆τ. The flow of vehicles is calculated as a function of α, β and ∆τ for a fixed value of τ. Phase diagrams in the (α,β) plane exhibits four different phases namely, unstable, metastable, stable. The transition line between stable phase and the unstable one is curved and it is of first order type. While the transition between stable (unstable) phase and the metastable phase are of second order type. The region of the metastable phase shrinks with increasing the variation of the delay time ∆τ and disappears completely above a critical value ∆τc .
 
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7. Date (YYYY-MM-DD) 10-03-2011
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://revues.imist.ma/index.php/MJCM/article/view/116
 
11. Source Title; vol., no. (year) Moroccan Journal of Condensed Matter; Vol 5, No 2 (2004)
 
12. Language English=en en
 
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15. Rights Copyright and permissions Copyright (c)