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The integrated berth allocation, quay crane assignment and scheduling problem: mathematical formulations and a case study

Author

Listed:
  • Omar Abou Kasm

    (New York University)

  • Ali Diabat

    (New York University
    New York University Abu Dhabi)

  • T. C. E. Cheng

    (The Hong Kong Polytechnic University)

Abstract

This paper considers the integration of three essential seaport terminal operations: the berth allocation problem, the quay crane assignment problem (QCAP), and the quay crane scheduling problem (QCSP). The paper presents a new mathematical formulation that captures all associated operations and constraints. Different quay crane operational policies are considered, namely permitting versus not permitting bay task preemption in QCSP and static versus dynamic crane allocations in QCAP. Thus, variants of the mathematical formulation are introduced to capture the different combinations of these scenarios. Due to the preemption consideration, the models include disaggregated quay crane (QC) tasks. Specifically, QC tasks are identified by single container movements as opposed to bay or stack task allocations that are commonly used in the literature. A case study based on Abu Dhabi’s container terminal is presented where the use of the proposed mathematical models are compared against the current existing operational approach. Results show that the service times can be significantly decreased by the use of the proposed models. Moreover, the policy choice effect on the total schedule is compared through simulated examples and Abu Dhabi’s container terminal case study. The results show that the policy improvements can depend on the problem’s attributes and thus a better policy cannot be generalized.

Suggested Citation

  • Omar Abou Kasm & Ali Diabat & T. C. E. Cheng, 2020. "The integrated berth allocation, quay crane assignment and scheduling problem: mathematical formulations and a case study," Annals of Operations Research, Springer, vol. 291(1), pages 435-461, August.
    • Handle: RePEc:spr:annopr:v:291:y:2020:i:1:d:10.1007_s10479-018-3125-3
    DOI: 10.1007/s10479-018-3125-3
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    References listed on IDEAS

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    Cited by:

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    4. Cao, Zhen & Wang, Wenyuan & Jiang, Ying & Xu, Xinglu & Xu, Yunzhuo & Guo, Zijian, 2022. "Joint berth allocation and ship loader scheduling under the rotary loading mode in coal export terminals," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 229-260.
    5. Kong, Lingrui & Ji, Mingjun & Gao, Zhendi, 2022. "An exact algorithm for scheduling tandem quay crane operations in container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    6. Abou Kasm, Omar & Diabat, Ali & Chow, Joseph Y.J., 2023. "Simultaneous operation of next-generation and traditional quay cranes at container terminals," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1110-1125.
    7. Chargui, Kaoutar & Zouadi, Tarik & El Fallahi, Abdellah & Reghioui, Mohamed & Aouam, Tarik, 2021. "Berth and quay crane allocation and scheduling with worker performance variability and yard truck deployment in container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).

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