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An exact algorithm for the unidirectional quay crane scheduling problem with vessel stability

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  • Sun, Defeng
  • Tang, Lixin
  • Baldacci, Roberto
  • Lim, Andrew

Abstract

This paper addresses the quay crane scheduling problem (QCSP) with vessel stability constraints. Vessel stability is essential to improve quay crane operations in container terminals, but it significantly complicates the basic QCSP and the corresponding solutions methods. We describe a novel mathematical formulation for the unidirectional QCSP with vessel stability, and we propose an exact algorithm based on logic-based Benders decomposition to solve the problem efficiently. The problem is decomposed into two subproblems, e.g., a task-assignment master problem without vessel stability constraints, and a time-allocation problem, aimed at determining the operation time of each task under the premise of the vessel stability requirements. The proposed algorithm is tested on benchmark instances derived from the literature, and the effectiveness of the proposed model and solution approach is demonstrated.

Suggested Citation

  • Sun, Defeng & Tang, Lixin & Baldacci, Roberto & Lim, Andrew, 2021. "An exact algorithm for the unidirectional quay crane scheduling problem with vessel stability," European Journal of Operational Research, Elsevier, vol. 291(1), pages 271-283.
    • Handle: RePEc:eee:ejores:v:291:y:2021:i:1:p:271-283
    DOI: 10.1016/j.ejor.2020.09.033
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    References listed on IDEAS

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    2. 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.
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    4. Raeesi, Ramin & Sahebjamnia, Navid & Mansouri, S. Afshin, 2023. "The synergistic effect of operational research and big data analytics in greening container terminal operations: A review and future directions," European Journal of Operational Research, Elsevier, vol. 310(3), pages 943-973.

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