Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights

Abstract

We consider the exclusion process on a ring with time-dependent defective bonds at which the hoping rate periodically switches between zero and one. This system models main roads in city traffics, intersecting with perpendicular streets. We explore basic properties of the system, in particular dependence of the vehicular flow on the parameters of signalization as well as the system size and the car density. We investigate various types of the spatial distribution of the vehicular density, and show existence of a shock profile. We also measure waiting time behind traffic lights, and examine its relationship with the traffic flow.

arXiv comment10 pages, 9 figures, v2: +18 references, 8pages. v3: +2 references

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Cited by in corpus (5)

• Totally asymmetric exclusion process with site-wise dynamic disorder
• Dissipation of traffic congestion using agent-based car-following model with modified optimal velocity
• Sample-to-sample fluctuations of transport coefficients in the totally asymmetric simple exclusion process with quenched disorder
• Non-self-averaging of current in a totally asymmetric simple exclusion process with quenched disorder
• One-dimensional discrete aggregation-fragmentation model