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Exact results of 1D traffic cellular automata: The low-density behavior of the Fukui–Ishibashi model

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  • Salcido, Alejandro
  • Hernández-Zapata, Ernesto
  • Carreón-Sierra, Susana

Abstract

The maximum entropy states of the cellular automata models for traffic flow in a single-lane with no anticipation are presented and discussed. The exact analytical solutions for the low-density behavior of the stochastic Fukui–Ishibashi traffic model were obtained and compared with computer simulations of the model. An excellent agreement was found.

Suggested Citation

  • Salcido, Alejandro & Hernández-Zapata, Ernesto & Carreón-Sierra, Susana, 2018. "Exact results of 1D traffic cellular automata: The low-density behavior of the Fukui–Ishibashi model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 276-287.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:276-287
    DOI: 10.1016/j.physa.2017.11.162
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    References listed on IDEAS

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    1. Vilar, L.C.Q. & de Souza, A.M.C., 1994. "Cellular automata models for general traffic conditions on a line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(1), pages 84-92.
    2. Kai Nagel, 1996. "Particle Hopping Models and Traffic Flow Theory," Working Papers 96-04-015, Santa Fe Institute.
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    Cited by:

    1. Ding, Zhongjun & Chen, Bokui & Zhang, Lele & Jiang, Rui & Wu, Yao & Ding, Jianxun, 2019. "Segment travel time route guidance strategy in advanced traveler information systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Rachid Marzoug & Noureddine Lakouari & José Roberto Pérez Cruz & Carlos Jesahel Vega Gómez, 2022. "Cellular Automata Model for Analysis and Optimization of Traffic Emission at Signalized Intersection," Sustainability, MDPI, vol. 14(21), pages 1-20, October.
    3. 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.

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