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A new Cellular Automata Model including a decelerating damping effect to reproduce Kerner’s three-phase theory

Author

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  • Kokubo, Satoshi
  • Tanimoto, Jun
  • Hagishima, Aya

Abstract

Most of the conventional traffic Cellular Automaton (CA) models based on the Nagel–Schreckenberg model (NaSch model) have two problems: an unrealistic deceleration dynamics when a vehicle agent collides with a preceding vehicle in a stopping event, and the problem with reproducing the synchronized flow in Kerner’s three-phase theory. In this paper, a revised stochastic Nishinari–Fukui–Schadschneider (S-NFS) model, belonging to the class of NaSch models, is presented. The proposed CA model, where a random braking effect is improved by considering the dependency on the velocity difference and heading distance with a preceding vehicle, is confirmed to overcome the two above-mentioned drawbacks.

Suggested Citation

  • Kokubo, Satoshi & Tanimoto, Jun & Hagishima, Aya, 2011. "A new Cellular Automata Model including a decelerating damping effect to reproduce Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 561-568.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:4:p:561-568
    DOI: 10.1016/j.physa.2010.10.027
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    References listed on IDEAS

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    1. Lan, Lawrence W. & Chiou, Yu-Chiun & Lin, Zih-Shin & Hsu, Chih-Cheng, 2009. "A refined cellular automaton model to rectify impractical vehicular movement behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3917-3930.
    2. Tian, Jun-fang & Jia, Bin & Li, Xin-gang & Jiang, Rui & Zhao, Xiao-mei & Gao, Zi-you, 2009. "Synchronized traffic flow simulating with cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4827-4837.
    3. Gao, Kun & Jiang, Rui & Wang, Bing-Hong & Wu, Qing-Song, 2009. "Discontinuous transition from free flow to synchronized flow induced by short-range interaction between vehicles in a three-phase traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3233-3243.
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    Citations

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    Cited by:

    1. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming & Ma, Jian, 2013. "Modelling of lane-changing behaviour integrating with merging effect before a city road bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5143-5153.
    2. Sueyoshi, Fumi & Utsumi, Shinobu & Tanimoto, Jun, 2022. "Underlying social dilemmas in mixed traffic flow with lane changes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Hu, Xiaojian & Wang, Wei & Yang, Haifei, 2012. "Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5102-5111.
    4. Tianjun Feng & Keyi Liu & Chunyan Liang, 2023. "An Improved Cellular Automata Traffic Flow Model Considering Driving Styles," Sustainability, MDPI, vol. 15(2), pages 1-19, January.
    5. Tanimoto, Jun & Nakamura, Kousuke, 2016. "Social dilemma structure hidden behind traffic flow with route selection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 92-99.
    6. Tanimoto, Jun & An, Xie, 2019. "Improvement of traffic flux with introduction of a new lane-change protocol supported by Intelligent Traffic System," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 1-5.
    7. Qian, Wei-Liang & F. Siqueira, Adriano & F. Machado, Romuel & Lin, Kai & Grant, Ted W., 2017. "Dynamical capacity drop in a nonlinear stochastic traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 328-339.
    8. Tanimoto, Jun & Futamata, Masanori & Tanaka, Masaki, 2020. "Automated vehicle control systems need to solve social dilemmas to be disseminated," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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