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The Effect of absorbing sites on the one-dimensional cellular automaton traffic flow with open boundaries


 
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1. Title Title of document The Effect of absorbing sites on the one-dimensional cellular automaton traffic flow with open boundaries
 
2. Creator Author's name, affiliation, country Hamid Ez-Zahraouy; Laboratoire de Magnétisme et de la Physique des Hautes Energies Université Mohammed V, Faculté des Sciences, Avenue Ibn Battouta, B.P. 1014, Rabat; Morocco
 
2. Creator Author's name, affiliation, country Zoubir Benrihane; Laboratoire de Magnétisme et de la Physique des Hautes Energies Université Mohammed V, Faculté des Sciences, Avenue Ibn Battouta, B.P. 1014, Rabat; Morocco
 
2. Creator Author's name, affiliation, country Abdelilah Benyoussef; Laboratoire de Magnétisme et de la Physique des Hautes Energies Université Mohammed V, Faculté des Sciences, Avenue Ibn Battouta, B.P. 1014, Rabat; Morocco
 
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4. Description Abstract The effect of the absorbing sites with an absorbing rate β0 , in both one absorbing site (one way out) and two absorbing sites (two ways out) in a road, on the traffic flow phase transition is investigated using numerical simulations in the one-dimensional cellular automaton traffic flow model with open boundaries using parallel dynamics. It is found that the behavior of density and current depends strongly on the value of β0 , the position of the way(s) out from the entering and the distance between the ways out. Indeed, in the case of one way out, there exist a critical position of the way out ic1 below which the current is constant for β0 <β0c2 and decreases when increasing β0 for β0 >β0c2 When the way out is located at a position greater than i c2 , the current increases with β0 for β0 <β0c1 and becomes constant for any value of β0 greater than β0c1. While, when the way out is located at any position between ic1 and ic2 (ic1<ic2), the current increases, for β0< β0c1 , with β0 and becomes constant for β0c1 < β0 <β0c2 and decreases with β0 for β0 > β0c2 . In the later case the density undergoes two successive first order transitions; from high density to maximal current phase at β0 =β0c1 and from intermediate density to the low one at β0 =β0c2 . In the case of two ways out located respectively at the positions i1 and i2, the two successive transitions occur only when the distance i2 - i1 seating the two ways is smaller than a critical distance dc , otherwise the traffic flow increases with β0, passes through a maximum at β0 =βmax and decreases for any value of β0 greater than βmax. The values of β0c1, β0c2, ic1, ic2 and dc depend on the injecting rate α, the extracting rate β and the position(s) of the way(s) out in the road. Moreover ic1 and ic2 , depend on the size of the system. Phase diagrams in the (α, β0 ), ( β, β0 ) and (i1 ,β0 ) planes are established. It is found that the transitions between Free traffic, Congested traffic and maximal current phase are first order.
 
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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/119
 
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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