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Two decision models for berth allocation problem under uncertainty considering service level

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Listed:
  • Changchun Liu

    (Tsinghua University)

  • Xi Xiang

    (Tsinghua University
    Tsinghua University)

  • Li Zheng

    (Tsinghua University)

Abstract

This paper examines the berth allocation problem, which is to assign a quay space and a service time to the vessels that have to be loaded and unloaded at a container terminal within a given planning horizon, with consideration of uncertain factors, mainly including the arrival and operation time of the calling vessels. Based on the concept of conflict, two kinds of service level are proposed and two decision models are constructed to minimize the total operational cost, which includes delay cost and non-optimal berthing location cost. The first model satisfies the service level of a specific scenario and the second one considers the service level across all scenarios. Due to the NP-hardness of the constructed model, a two-stage heuristics algorithm is employed to solve the problem. Finally, extensive numerical experiments are conducted to test the performances of the two proposed models and algorithm and help the port planners make decisions.

Suggested Citation

  • Changchun Liu & Xi Xiang & Li Zheng, 2017. "Two decision models for berth allocation problem under uncertainty considering service level," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 312-344, December.
    • Handle: RePEc:spr:flsman:v:29:y:2017:i:3:d:10.1007_s10696-017-9295-5
    DOI: 10.1007/s10696-017-9295-5
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    Cited by:

    1. Changchun Liu & Xi Xiang & Li Zheng, 2020. "A two-stage robust optimization approach for the berth allocation problem under uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 425-452, June.
    2. Shaojian Qu & Xinqi Li & Chang Liu & Xufeng Tang & Zhisheng Peng & Ying Ji, 2023. "Two-Stage Robust Programming Modeling for Continuous Berth Allocation with Uncertain Vessel Arrival Time," Sustainability, MDPI, vol. 15(13), pages 1-30, July.
    3. Agra, Agostinho & Rodrigues, Filipe, 2022. "Distributionally robust optimization for the berth allocation problem under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 1-24.
    4. Correcher, Juan Francisco & Van den Bossche, Thomas & Alvarez-Valdes, Ramon & Vanden Berghe, Greet, 2019. "The berth allocation problem in terminals with irregular layouts," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1096-1108.
    5. Rodrigues, Filipe & Agra, Agostinho, 2021. "An exact robust approach for the integrated berth allocation and quay crane scheduling problem under uncertain arrival times," European Journal of Operational Research, Elsevier, vol. 295(2), pages 499-516.
    6. T. Jonker & M. B. Duinkerken & N. Yorke-Smith & A. Waal & R. R. Negenborn, 2021. "Coordinated optimization of equipment operations in a container terminal," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 281-311, June.
    7. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).
    8. Shu-Chuan Chang & Ming-Hua Lin & Jung-Fa Tsai, 2024. "An Optimization Approach to Berth Allocation Problems," Mathematics, MDPI, vol. 12(5), pages 1-16, March.
    9. Liu, Changchun, 2020. "Iterative heuristic for simultaneous allocations of berths, quay cranes, and yards under practical situations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    10. Xiang, Xi & Liu, Changchun, 2021. "An expanded robust optimisation approach for the berth allocation problem considering uncertain operation time," Omega, Elsevier, vol. 103(C).
    11. Lorenz Kolley & Nicolas Rückert & Marvin Kastner & Carlos Jahn & Kathrin Fischer, 2023. "Robust berth scheduling using machine learning for vessel arrival time prediction," Flexible Services and Manufacturing Journal, Springer, vol. 35(1), pages 29-69, March.
    12. Xufeng Tang & Chang Liu & Xinqi Li & Ying Ji, 2023. "Distributionally Robust Programming of Berth-Allocation-with-Crane-Allocation Problem with Uncertain Quay-Crane-Handling Efficiency," Sustainability, MDPI, vol. 15(18), pages 1-27, September.
    13. Xi, Xiang & Changchun, Liu & Yuan, Wang & Loo Hay, Lee, 2020. "Two-stage conflict robust optimization models for cross-dock truck scheduling problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    14. Rodrigues, Filipe & Agra, Agostinho, 2022. "Berth allocation and quay crane assignment/scheduling problem under uncertainty: A survey," European Journal of Operational Research, Elsevier, vol. 303(2), pages 501-524.

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