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Quay crane scheduling at container terminals to minimize the maximum relative tardiness of vessel departures

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  • Jiyin Liu
  • Yat‐wah Wan
  • Lei Wang

Abstract

In this paper, we study the problem of scheduling quay cranes (QCs) at container terminals where incoming vessels have different ready times. The objective is to minimize the maximum relative tardiness of vessel departures. The problem can be formulated as a mixed integer linear programming (MILP) model of large size that is difficult to solve directly. We propose a heuristic decomposition approach to breakdown the problem into two smaller, linked models, the vessel‐level and the berth‐level models. With the same berth‐level model, two heuristic methods are developed using different vessel‐level models. Computational experiments show that the proposed approach is effective and efficient. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:1:p:60-74
    DOI: 10.1002/nav.20108
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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. 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.
    3. Frank Meisel, 2011. "The quay crane scheduling problem with time windows," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(7), pages 619-636, October.
    4. Xufeng Tang & Chang Liu & Xinqi Li & Ying Ji, 2023. "Distributionally Robust Programming of Berth-Allocation-with-Crane-Allocation Problem with Uncertain Quay-Crane-Handling Efficiency," Sustainability, MDPI, vol. 15(18), pages 1-27, September.
    5. 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.
    6. Gharehgozli, Amir & Yu, Yugang & de Koster, René & Du, Shaofu, 2019. "Sequencing storage and retrieval requests in a container block with multiple open locations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 261-284.
    7. Abdellah Salhi & Ghazwan Alsoufi & Xinan Yang, 2019. "An evolutionary approach to a combined mixed integer programming model of seaside operations as arise in container ports," Annals of Operations Research, Springer, vol. 272(1), pages 69-98, January.
    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. 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.
    10. Sung Won Cho & Hyun Ji Park & Chulung Lee, 2021. "An integrated method for berth allocation and quay crane assignment to allow for reassignment of vessels to other terminals," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 23(1), pages 123-153, March.
    11. J Blazewicz & T C E Cheng & M Machowiak & C Oguz, 2011. "Berth and quay crane allocation: a moldable task scheduling model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1189-1197, July.
    12. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).
    13. 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.
    14. Frank Meisel & Christian Bierwirth, 2013. "A Framework for Integrated Berth Allocation and Crane Operations Planning in Seaport Container Terminals," Transportation Science, INFORMS, vol. 47(2), pages 131-147, May.
    15. Iris, Çağatay & Pacino, Dario & Ropke, Stefan & Larsen, Allan, 2015. "Integrated Berth Allocation and Quay Crane Assignment Problem: Set partitioning models and computational results," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 75-97.
    16. Canrong Zhang & Tao Wu & Mingyao Qi & Lixin Miao, 2018. "Simultaneous Allocation of Berths and Quay Cranes under Discrete Berth Situation," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(03), pages 1-28, June.
    17. Giorgi Tadumadze & Simon Emde & Heiko Diefenbach, 2020. "Exact and heuristic algorithms for scheduling jobs with time windows on unrelated parallel machines," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 461-497, June.
    18. T. R. Lalita & G. S. R. Murthy, 2022. "Compact ILP formulations for a class of solutions to berth allocation and quay crane scheduling problems," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 413-439, March.
    19. 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.
    20. 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.
    21. Iris, Çağatay & Pacino, Dario & Ropke, Stefan, 2017. "Improved formulations and an Adaptive Large Neighborhood Search heuristic for the integrated berth allocation and quay crane assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 123-147.
    22. Lu Zhen & Shuaian Wang & Kai Wang, 2016. "Terminal allocation problem in a transshipment hub considering bunker consumption," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 529-548, October.
    23. Lu Zhen & Shucheng Yu & Shuaian Wang & Zhuo Sun, 2019. "Scheduling quay cranes and yard trucks for unloading operations in container ports," Annals of Operations Research, Springer, vol. 273(1), pages 455-478, February.

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