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An effective mathematical formulation for the unidirectional cluster-based quay crane scheduling problem

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  • Chen, Jiang Hang
  • Lee, Der-Horng
  • Goh, Mark

Abstract

The quay crane scheduling problem plays an important role in the paradigm of port container terminal management, due to the fact that it closely relates to vessel berthing time. In this paper, we focus on the study of a special strategy for the cluster-based quay crane scheduling problem that forces quay cranes to move unidirectionally during the scheduling. The scheduling problem arising when this strategy is applied is called the unidirectional quay crane scheduling problem in the literature. Different from other researches attempting to construct more sophisticated searching algorithms, in this paper, we seek for a more compact mathematical formulation of the unidirectional cluster-based quay crane scheduling problem that can be easily solved by a standard optimization solver. To assess the performance of the proposed model, commonly accepted benchmark suites are used and the results indicate that the proposed model outperforms the state-of-the-art algorithms designed for the unidirectional cluster-based quay crane scheduling problem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:232:y:2014:i:1:p:198-208
    DOI: 10.1016/j.ejor.2013.06.051
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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. 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.
    4. 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.
    5. 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.
    6. 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).
    7. Boysen, Nils & Briskorn, Dirk & Meisel, Frank, 2017. "A generalized classification scheme for crane scheduling with interference," European Journal of Operational Research, Elsevier, vol. 258(1), pages 343-357.
    8. 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.
    9. 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.
    10. 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.
    11. Shucheng Yu & Shuaian Wang & Lu Zhen, 2017. "Quay crane scheduling problem with considering tidal impact and fuel consumption," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 345-368, December.
    12. 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.
    13. Guvenc Dik & Erhan Kozan, 2017. "A flexible crane scheduling methodology for container terminals," Flexible Services and Manufacturing Journal, Springer, vol. 29(1), pages 64-96, March.
    14. Jiang Hang Chen, 2019. "A note on: a flexible crane scheduling methodology for container terminals," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 34-40, March.
    15. 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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