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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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    1. Sun, Defeng & Meng, Ying & Tang, Lixin & Liu, Jinyin & Huang, Baobin & Yang, Jiefu, 2020. "Storage space allocation problem at inland bulk material stockyard," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).
    2. Jiyin Liu & Yat‐wah Wan & Lei Wang, 2006. "Quay crane scheduling at container terminals to minimize the maximum relative tardiness of vessel departures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 60-74, February.
    3. 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.
    4. 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.
    5. Yongpei Guan & Kang-Hung Yang & Zhili Zhou, 2013. "The crane scheduling problem: models and solution approaches," Annals of Operations Research, Springer, vol. 203(1), pages 119-139, March.
    6. J. N. Hooker, 2007. "Planning and Scheduling by Logic-Based Benders Decomposition," Operations Research, INFORMS, vol. 55(3), pages 588-602, June.
    7. 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.
    8. Sun, Defeng & Tang, Lixin & Baldacci, Roberto, 2019. "A Benders decomposition-based framework for solving quay crane scheduling problems," European Journal of Operational Research, Elsevier, vol. 273(2), pages 504-515.
    9. Wu, Lingxiao & Ma, Weimin, 2017. "Quay crane scheduling with draft and trim constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 38-68.
    10. Bierwirth, Christian & Meisel, Frank, 2010. "A survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 202(3), pages 615-627, May.
    11. Noura Al-Dhaheri & Ali Diabat, 2017. "A Lagrangian relaxation-based heuristic for the multi-ship quay crane scheduling problem with ship stability constraints," Annals of Operations Research, Springer, vol. 248(1), pages 1-24, January.
    12. Daganzo, Carlos F., 1989. "The crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 23(3), pages 159-175, June.
    13. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    14. Lixin Tang & Wei Jiang & Jiyin Liu & Yun Dong, 2015. "Research into container reshuffling and stacking problems in container terminal yards," IISE Transactions, Taylor & Francis Journals, vol. 47(7), pages 751-766, July.
    15. Gianni Codato & Matteo Fischetti, 2006. "Combinatorial Benders' Cuts for Mixed-Integer Linear Programming," Operations Research, INFORMS, vol. 54(4), pages 756-766, August.
    16. Lee, Der-Horng & Wang, Hui Qiu & Miao, Lixin, 2008. "Quay crane scheduling with non-interference constraints in port container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 124-135, January.
    17. 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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    2. Li, Yiming & Sun, Zhuo & Hong, Soondo, 2024. "An exact algorithm for multiple-equipment integrated scheduling in an automated container terminal using a double-cycling strategy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    3. Chargui, Kaoutar & Zouadi, Tarik & Sreedharan, V. Raja & El Fallahi, Abdellah & Reghioui, Mohamed, 2023. "A novel robust exact decomposition algorithm for berth and quay crane allocation and scheduling problem considering uncertainty and energy efficiency," Omega, Elsevier, vol. 118(C).
    4. 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.
    5. 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.
    6. Hosseini, Amir & Otto, Alena & Pesch, Erwin, 2024. "Scheduling in manufacturing with transportation: Classification and solution techniques," European Journal of Operational Research, Elsevier, vol. 315(3), pages 821-843.

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