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Paper   IPM / Nano-Sciences / 14740
School of Nano Science
  Title:   Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights
  Author(s): 
1.  Chikashi Arita
2.  Mohammad Ebrahim Fouladvand
3.  Ludger Santen
  Status:   Published
  Journal: Phys. Rev. E
  Vol.:  95
  Year:  2017
  Pages:   032108
  Publisher(s):   American Physical Society
  Supported by:  IPM
  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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