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Variable speed limit control for steady and oscillatory queues at fixed freeway bottlenecks

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  • Chen, Danjue
  • Ahn, Soyoung
  • Hegyi, Andreas

Abstract

New variable speed limit (VSL) schemes are developed based on the Kinematic Wave theory to increase freeway bottleneck discharge rates under two scenarios: (i) steady queue and (ii) oscillatory queue. The key principle is to impose VSL control some distance upstream of a bottleneck to starve the inflow to the bottleneck and dissipate the queue. Once the queue near the bottleneck vanishes, another less restrictive VSL is imposed upstream to (i) resolve the heavy queue generated by the first VSL and (ii) regulate the inflow to the bottleneck to sustain the stable maximum bottleneck discharge rate and prevent traffic breakdown. Several strategies are developed for each scenario ranging from the simplest strategy that maximizes the delay saving to more sophisticated strategies for upstream queue management. An analysis of the model parameters suggests that a wide range of the first speed limit (to clear the queue around the bottleneck) can be imposed to realize significant delay savings.

Suggested Citation

  • Chen, Danjue & Ahn, Soyoung & Hegyi, Andreas, 2014. "Variable speed limit control for steady and oscillatory queues at fixed freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 340-358.
  • Handle: RePEc:eee:transb:v:70:y:2014:i:c:p:340-358
    DOI: 10.1016/j.trb.2014.08.006
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    References listed on IDEAS

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    5. Xie, Jiaohong & Yang, Zhenyu & Lai, Xiongfei & Liu, Yang & Yang, Xiao Bo & Teng, Teck-Hou & Tham, Chen-Khong, 2022. "Deep reinforcement learning for dynamic incident-responsive traffic information dissemination," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    6. 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.
    7. 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.
    8. Nima Dadashzadeh & Murat Ergun, 2019. "An Integrated Variable Speed Limit and ALINEA Ramp Metering Model in the Presence of High Bus Volume," Sustainability, MDPI, vol. 11(22), pages 1-26, November.
    9. Nishi, Ryosuke & Watanabe, Takashi, 2022. "System-size dependence of a jam-absorption driving strategy to remove traffic jam caused by a sag under the presence of traffic instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    10. Zhou, Yang & Ahn, Soyoung & Wang, Meng & Hoogendoorn, Serge, 2020. "Stabilizing mixed vehicular platoons with connected automated vehicles: An H-infinity approach," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 152-170.
    11. 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.
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    13. Gao, Hang & Chen, Shenyang & Zhang, Michael, 2020. "Get More Out of Variable Speed Limit (VSL) Control: An Integrated Approach to Manage Traffic Corridors with Multiple Bottlenecks," Institute of Transportation Studies, Working Paper Series qt6th037wz, Institute of Transportation Studies, UC Davis.

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