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A Queueing Model for Traffic Flow Control in the Road Intersection

Author

Listed:
  • Yona Elbaum

    (Department of Industrial Engineering, Ariel University, Ariel 4076414, Israel)

  • Alexander Novoselsky

    (Department of Earth and Planetary Sciences, Weizmann Institute of Science, Rehovot 7610001, Israel)

  • Evgeny Kagan

    (Department of Industrial Engineering, Ariel University, Ariel 4076414, Israel
    Laboratory for Artificial Intelligence, Machine Learning, Business and Data Analytics, Tel Aviv University, Tel Aviv 6997801, Israel)

Abstract

In this paper, we consider a simple road intersection with traffic light control and suggest a queueing model for the traffic flow in the intersection. The suggested model implements the well-known queue with state-dependent departure rates. Using this model, we define optimal state-dependent scheduling of the traffic lights in the intersection and consider its properties. Activity of the model is illustrated by numerical simulations. It is demonstrated that in practical conditions the suggested scheduling of the traffic lights allows the prevention of traffic jams in the intersection and resolves vehicles queues with reasonable waiting times in the crossing lanes.

Suggested Citation

  • Yona Elbaum & Alexander Novoselsky & Evgeny Kagan, 2022. "A Queueing Model for Traffic Flow Control in the Road Intersection," Mathematics, MDPI, vol. 10(21), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3997-:d:955519
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    References listed on IDEAS

    as
    1. Baykal-Gürsoy, M. & Xiao, W. & Ozbay, K., 2009. "Modeling traffic flow interrupted by incidents," European Journal of Operational Research, Elsevier, vol. 195(1), pages 127-138, May.
    2. Carl M. Harris, 1967. "Queues with State-Dependent Stochastic Service Rates," Operations Research, INFORMS, vol. 15(1), pages 117-130, February.
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    Cited by:

    1. Krasimira Stoilova & Todor Stoilov, 2023. "Optimizing Traffic Light Green Duration under Stochastic Considerations," Mathematics, MDPI, vol. 11(3), pages 1-25, January.
    2. Boriana Vatchova & Yordanka Boneva, 2023. "Design of Fuzzy and Conventional Controllers for Modeling and Simulation of Urban Traffic Light System with Feedback Control," Mathematics, MDPI, vol. 11(2), pages 1-11, January.

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