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The investigation of the reentrance phenomenon in cellular automaton traffic flow model

Author

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  • Bouadi, M.
  • Jetto, K.
  • Benyoussef, A.
  • El Kenz, A.

Abstract

We investigate analytically and by numerical simulations, the reentrant low density phase for high injection rate in the Nagel–Schreckenberg model. It is found that the reentrance phenomenon is a direct consequence of our injection strategy. Indeed, by adopting our injection rule, an injection rate exists, above which the in-flow begins to decrease by increasing the injection rate. In addition, we have studied the extraction rate interval at which the reentrance of the low density phase appears. It is found that this interval increases with increasing the maximal velocity. For the non deterministic case, the reentrance interval shifts to higher values of extraction rate.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:469:y:2017:i:c:p:1-14
    DOI: 10.1016/j.physa.2016.11.005
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    References listed on IDEAS

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    1. Schadschneider, Andreas, 2006. "Cellular automata models of highway traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 142-150.
    2. Pottmeier, A. & Barlovic, R. & Knospe, W. & Schadschneider, A. & Schreckenberg, M., 2002. "Localized defects in a cellular automaton model for traffic flow with phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 471-482.
    3. 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.
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    Cited by:

    1. Cui, Nan & Chen, Bokui & Zhang, Kai & Zhang, Yi & Liu, Xiaotong & Zhou, Jun, 2019. "Effects of route guidance strategies on traffic emissions in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 32-44.
    2. Kong, Dewen & Sun, Lishan & Li, Jia & Xu, Yan, 2021. "Modeling cars and trucks in the heterogeneous traffic based on car–truck combination effect using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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