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Spatial-Temporal Traffic Flow Control on Motorways Using Distributed Multi-Agent Reinforcement Learning

Author

Listed:
  • Krešimir Kušić

    (Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva Street 4, HR-10 000 Zagreb, Croatia
    These authors contributed equally to this work.)

  • Edouard Ivanjko

    (Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva Street 4, HR-10 000 Zagreb, Croatia
    These authors contributed equally to this work.)

  • Filip Vrbanić

    (Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva Street 4, HR-10 000 Zagreb, Croatia)

  • Martin Gregurić

    (Faculty of Transport and Traffic Sciences, University of Zagreb, Vukelićeva Street 4, HR-10 000 Zagreb, Croatia)

  • Ivana Dusparic

    (School of Computer Science and Statistics, Trinity College Dublin, Dublin 2, Ireland)

Abstract

The prevailing variable speed limit (VSL) systems as an effective strategy for traffic control on motorways have the disadvantage that they only work with static VSL zones. Under changing traffic conditions, VSL systems with static VSL zones may perform suboptimally. Therefore, the adaptive design of VSL zones is required in traffic scenarios where congestion characteristics vary widely over space and time. To address this problem, we propose a novel distributed spatial-temporal multi-agent VSL (DWL-ST-VSL) approach capable of dynamically adjusting the length and position of VSL zones to complement the adjustment of speed limits in current VSL control systems. To model DWL-ST-VSL, distributed W-learning (DWL), a reinforcement learning (RL)-based algorithm for collaborative agent-based self-optimization toward multiple policies, is used. Each agent uses RL to learn local policies, thereby maximizing travel speed and eliminating congestion. In addition to local policies, through the concept of remote policies, agents learn how their actions affect their immediate neighbours and which policy or action is preferred in a given situation. To assess the impact of deploying additional agents in the control loop and the different cooperation levels on the control process, DWL-ST-VSL is evaluated in a four-agent configuration (DWL4-ST-VSL). This evaluation is done via SUMO microscopic simulations using collaborative agents controlling four segments upstream of the congestion in traffic scenarios with medium and high traffic loads. DWL also allows for heterogeneity in agents’ policies; cooperating agents in DWL4-ST-VSL implement two speed limit sets with different granularity. DWL4-ST-VSL outperforms all baselines (W-learning-based VSL and simple proportional speed control), which use static VSL zones. Finally, our experiments yield insights into the new concept of VSL control. This may trigger further research on using advanced learning-based technology to design a new generation of adaptive traffic control systems to meet the requirements of operating in a nonstationary environment and at the leading edge of emerging connected and autonomous vehicles in general.

Suggested Citation

  • Krešimir Kušić & Edouard Ivanjko & Filip Vrbanić & Martin Gregurić & Ivana Dusparic, 2021. "Spatial-Temporal Traffic Flow Control on Motorways Using Distributed Multi-Agent Reinforcement Learning," Mathematics, MDPI, vol. 9(23), pages 1-28, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3081-:d:691444
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    References listed on IDEAS

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    1. Martínez, Irene & Jin, Wen-Long, 2020. "Optimal location problem for variable speed limit application areas," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 221-246.
    2. Chao Gao & Jinliang Xu & Qunshan Li & Jie Yang, 2019. "The Effect of Posted Speed Limit on the Dispersion of Traffic Flow Speed," Sustainability, MDPI, vol. 11(13), pages 1-15, June.
    3. Chen, Xinqiang & Chen, Huixing & Yang, Yongsheng & Wu, Huafeng & Zhang, Wenhui & Zhao, Jiansen & Xiong, Yong, 2021. "Traffic flow prediction by an ensemble framework with data denoising and deep learning model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    4. Chung, Koohong & Rudjanakanoknad, Jittichai & Cassidy, Michael J., 2007. "Relation between traffic density and capacity drop at three freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 82-95, January.
    5. Como, Giacomo & Lovisari, Enrico & Savla, Ketan, 2016. "Convexity and robustness of dynamic traffic assignment and freeway network control," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 446-465.
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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. Siying Wang & Wenyu Chen & Jian Hu & Siyue Hu & Liwei Huang, 2022. "Noise-Regularized Advantage Value for Multi-Agent Reinforcement Learning," Mathematics, MDPI, vol. 10(15), pages 1-15, August.
    3. Irena Strnad & Rok Marsetič, 2023. "Differential Evolution Based Numerical Variable Speed Limit Control Method with a Non-Equilibrium Traffic Model," Mathematics, MDPI, vol. 11(2), pages 1-16, January.

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