Numerical simulations for traffic-flow models on a decorated square lattice

We investigate a traffic-flow problem in a network of city roads. The network of city roads is assumed to be a square lattice with a decorated site on each bond; a car may locate at a usual lattice site or at a decorated site. We extend a traffic-flow model proposed by Cuesta et al. (Phys. Rev. E 51...

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Bibliographic Details
Published in:Physica A 1998-04, Vol.252 (3), p.388-404
Main Authors: Horiguchi, Tsuyoshi, Sakakibara, Takehito
Format: Article
Language:English
Subjects:
Jammed phase
Network
Numerical simulations
Traffic flow
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Summary:We investigate a traffic-flow problem in a network of city roads. The network of city roads is assumed to be a square lattice with a decorated site on each bond; a car may locate at a usual lattice site or at a decorated site. We extend a traffic-flow model proposed by Cuesta et al. (Phys. Rev. E 51 (1995) 175) to models on the network of city roads and then study the models by using numerical simulations. We find that there is a phase transition of the first-order type from the free-moving phase to a traffic jammed phase, in general, in our models. In the traffic jammed phase, the average velocity of cars is larger for a model in which a traffic signal changes randomly, than for a model in which the traffic signal changes regularly.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(97)00628-6