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The study of the unidirectional quay crane scheduling problem: complexity and risk-aversion

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  • Chen, Jiang Hang
  • Bierlaire, Michel

Abstract

As a special case of the quay crane scheduling problem, the unidirectional quay crane scheduling problem has been received more and more attention. In this paper, we analyze the computational complexity of the unidirectional quay crane scheduling problem and propose a tighter mixed integer programming formulation. Next, we develop three makespan-constrained models to obtain risk-averse solutions to mitigate the impacts of ship instability and solution infeasibility (thus, need to revamp or even reschedule the plans). Comprehensive numerical experiments are designed to investigate the benefits of the tighter formulation and the three optimization models for risk-aversion.

Suggested Citation

  • Chen, Jiang Hang & Bierlaire, Michel, 2017. "The study of the unidirectional quay crane scheduling problem: complexity and risk-aversion," European Journal of Operational Research, Elsevier, vol. 260(2), pages 613-624.
    • Handle: RePEc:eee:ejores:v:260:y:2017:i:2:p:613-624
    DOI: 10.1016/j.ejor.2017.01.007
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    1. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    2. Chen, Jiang Hang & Lee, Der-Horng & Goh, Mark, 2014. "An effective mathematical formulation for the unidirectional cluster-based quay crane scheduling problem," European Journal of Operational Research, Elsevier, vol. 232(1), pages 198-208.
    3. Bierwirth, Christian & Meisel, Frank, 2015. "A follow-up survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 244(3), pages 675-689.
    4. Kim, Kap Hwan & Park, Young-Man, 2004. "A crane scheduling method for port container terminals," European Journal of Operational Research, Elsevier, vol. 156(3), pages 752-768, August.
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    Cited by:

    1. Defeng Sun & Lixin Tang & Roberto Baldacci & Zihan Chen, 2024. "A Decomposition Method for the Group-Based Quay Crane Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 543-570, March.
    2. Damla Kizilay & Deniz Türsel Eliiyi, 2021. "A comprehensive review of quay crane scheduling, yard operations and integrations thereof in container terminals," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 1-42, March.
    3. Gharehgozli, Amir & Zaerpour, Nima, 2018. "Stacking outbound barge containers in an automated deep-sea terminal," European Journal of Operational Research, Elsevier, vol. 267(3), pages 977-995.
    4. Hongming Li & Xintao Li, 2022. "A Branch-and-Bound Algorithm for the Bi-Objective Quay Crane Scheduling Problem Based on Efficiency and Energy," Mathematics, MDPI, vol. 10(24), pages 1-20, December.
    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. Qin, Tianbao & Du, Yuquan & Chen, Jiang Hang & Sha, Mei, 2020. "Combining mixed integer programming and constraint programming to solve the integrated scheduling problem of container handling operations of a single vessel," European Journal of Operational Research, Elsevier, vol. 285(3), pages 884-901.
    7. Shoufeng Ma & Hongming Li & Ning Zhu & Chenyi Fu, 2021. "Stochastic programming approach for unidirectional quay crane scheduling problem with uncertainty," Journal of Scheduling, Springer, vol. 24(2), pages 137-174, April.
    8. 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.
    9. 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.

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