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Platoon-based traffic flow model for estimating breakdown probability at single-lane expressway bottlenecks

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  • Shiomi, Yasuhiro
  • Yoshii, Toshio
  • Kitamura, Ryuichi

Abstract

This study investigates the mechanism of traffic breakdown and establishes a traffic flow model that precisely simulates the stochastic and dynamic processes of traffic flow at a bottleneck. The proposed model contains two models of stochastic processes associated with traffic flow dynamics: a model of platoon formation behind a bottleneck and a model of speed transitions within a platoon. After these proposed models are validated, they are applied to a simple one-way, one-lane expressway section containing a bottleneck, and the stochastic nature of traffic breakdown is demonstrated through theoretical exercises.

Suggested Citation

  • Shiomi, Yasuhiro & Yoshii, Toshio & Kitamura, Ryuichi, 2011. "Platoon-based traffic flow model for estimating breakdown probability at single-lane expressway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1314-1330.
    • Handle: RePEc:eee:transb:v:45:y:2011:i:9:p:1314-1330
    DOI: 10.1016/j.trb.2011.05.008
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    References listed on IDEAS

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    Cited by:

    1. Wen, Jianghui & Hong, Lijiang & Dai, Min & Xiao, Xinping & Wu, Chaozhong, 2023. "A stochastic model for stop-and-go phenomenon in traffic oscillation: On the prospective of macro and micro traffic flow," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Petter Arnesen & Odd A. Hjelkrem, 2018. "An Estimator for Traffic Breakdown Probability Based on Classification of Transitional Breakdown Events," Transportation Science, INFORMS, vol. 52(3), pages 593-602, June.
    3. Sheu, Jiuh-Biing & Wu, Hsi-Jen, 2015. "Driver perception uncertainty in perceived relative speed and reaction time in car following – A quantum optical flow perspective," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 257-274.
    4. Kosun, Caglar & Ozdemir, Serhan, 2017. "Determining the complexity of multi-component conformal systems: A platoon-based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 688-695.
    5. Han, Youngjun & Chen, Danjue & Ahn, Soyoung, 2017. "Variable speed limit control at fixed freeway bottlenecks using connected vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 113-134.
    6. Han, Youngjun & Ahn, Soyoung, 2018. "Stochastic modeling of breakdown at freeway merge bottleneck and traffic control method using connected automated vehicle," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 146-166.
    7. Hossein Samadi & Iman Aghayan & Khaled Shaaban & Farhad Hadadi, 2023. "Development of Performance Measurement Models for Two-Lane Roads under Vehicular Platooning Using Conjugate Bayesian Analysis," Sustainability, MDPI, vol. 15(5), pages 1-26, February.

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