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A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability

Author

Listed:
  • Li, Qi-Lang
  • Wong, S.C.
  • Min, Jie
  • Tian, Shuo
  • Wang, Bing-Hong

Abstract

This study examines the cellular automata traffic flow model, which considers the heterogeneity of vehicle acceleration and the delay probability of vehicles. Computer simulations are used to identify three typical phases in the model: free-flow, synchronized flow, and wide moving traffic jam. In the synchronized flow region of the fundamental diagram, the low and high velocity vehicles compete with each other and play an important role in the evolution of the system. The analysis shows that there are two types of bistable phases. However, in the original Nagel and Schreckenberg cellular automata traffic model, there are only two kinds of traffic conditions, namely, free-flow and traffic jams. The synchronized flow phase and bistable phase have not been found.

Suggested Citation

  • Li, Qi-Lang & Wong, S.C. & Min, Jie & Tian, Shuo & Wang, Bing-Hong, 2016. "A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 128-134.
  • Handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:128-134
    DOI: 10.1016/j.physa.2016.03.026
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    Citations

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    Cited by:

    1. Sueyoshi, Fumi & Utsumi, Shinobu & Tanimoto, Jun, 2022. "Underlying social dilemmas in mixed traffic flow with lane changes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Fu, Ding-Jun & Li, Qi-Lang & Jiang, Rui & Wang, Bing-Hong, 2020. "A simple cellular automaton model with dual cruise-control limit in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    3. Jiang, Yu & Xue, Qingwen & Wang, Yasha & Cai, Mengting & Zhang, Honghai & Li, Yahui, 2021. "Traffic congestion mechanism in mega-airport surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
    4. 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).
    5. Lin, XuXun & Yuan, PengCheng, 2018. "A dynamic parking charge optimal control model under perspective of commuters’ evolutionary game behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1096-1110.
    6. Hu, Xiaojian & Qiao, Longqi & Hao, Xiatong & Lin, Chenxi & Liu, Tenghui, 2022. "Research on the impact of entry points on urban arterial roads in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    7. Qi, Le & Zheng, Zhongyi & Gang, Longhui, 2017. "Marine traffic model based on cellular automaton: Considering the change of the ship’s velocity under the influence of the weather and sea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 480-494.

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