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

Chikashi Arita1,*, M. Ebrahim Foulaadvand2,3,†, and Ludger Santen1,‡

  • 1Theoretical Physics, Saarland University, 66041 Saarbrücken, Germany
  • 2Department of Physics, University of Zanjan, P. O. Box 45196-313, Zanjan, Iran
  • 3School of Nanoscience, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

  • *c.arita@physik.uni-saarland.de
  • †foolad@iasbs.ac.ir
  • ‡l.santen@mx.uni-saarland.de
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Phys. Rev. E 95, 032108 – Published 6 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032108

Abstract

We consider the exclusion process on a ring with time-dependent defective bonds at which the hopping 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.

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Phys. Rev. E 95, 032108– Published 6 March, 2017
  • Received 16 November 2016

©2017 American Physical Society

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