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Delay times in a cellular traffic flow model for road sections with periodic outflow

Author

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  • T. Neumann
  • P. Wagner

Abstract

A simple cellular automaton to model traffic flow is used to analyze the impact of traffic lights on travel times. The model is investigated on a stretch of road with open boundaries, where the inflow is driven stochastically, but the outflow is controlled by a traffic light with periodically changing outflow rates. Especially in the transition regime from free flow to oversaturated flow, the detailed space-time structure can be used to derive analytical lower and upper boundaries for the travel time function. The analytical results have been verified by a simulation study. The function displays a strong non-trivial dependency on the length of the system, which is at odds with a well-known formula derived almost 50 years ago by Webster. Such a model is interesting both from a theoretical point of view and for applications. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • T. Neumann & P. Wagner, 2008. "Delay times in a cellular traffic flow model for road sections with periodic outflow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(2), pages 255-264, May.
    • Handle: RePEc:spr:eurphb:v:63:y:2008:i:2:p:255-264
    DOI: 10.1140/epjb/e2008-00234-6
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    Cited by:

    1. Bouadi, M. & Jetto, K. & Benyoussef, A. & El Kenz, A., 2017. "The investigation of the reentrance phenomenon in cellular automaton traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 1-14.
    2. Zhang, Lele & Finn, Caley & Garoni, Timothy M. & de Gier, Jan, 2018. "Behaviour of traffic on a link with traffic light boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 116-138.

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