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Multiship Crane Sequencing with Yard Congestion Constraints

Author

Listed:
  • Shawn Choo

    (PSA International Pte Ltd, PSA Singapore Terminals, Singapore)

  • Diego Klabjan

    (Department of Industrial and Management Sciences, Northwestern University, Evanston, Illinois 60208)

  • David Simchi-Levi

    (Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

Abstract

Crane sequencing in container terminals determines the order of ship discharging and loading jobs that quay cranes (QCs) perform, so that the duration of a vessel's stay is minimized. The ship's load profile, berthing time, number of available bays, and QCs are considered. More important, clearance and yard congestion constraints need to be included, which, respectively, ensure that a minimum distance between adjacent QCs is observed and yard storage blocks are not overly accessed at any point in time. In sequencing for a single ship, a mixed-integer programming (MIP) model is proposed, and a heuristic approach based on the model is developed that produces good solutions. The model is then reformulated as a generalized set covering problem and solved exactly by branch and price (B&P). For multiship sequencing, the yard congestion constraints are relaxed in the spirit of Lagrangian relaxation, so that the problem decomposes by vessel into smaller subproblems solved by B&P. An efficient primal heuristic is also designed. Computational experiments reveal that large-scale problems can be solved in a reasonable computational time.

Suggested Citation

  • Shawn Choo & Diego Klabjan & David Simchi-Levi, 2010. "Multiship Crane Sequencing with Yard Congestion Constraints," Transportation Science, INFORMS, vol. 44(1), pages 98-115, February.
    • Handle: RePEc:inm:ortrsc:v:44:y:2010:i:1:p:98-115
    DOI: 10.1287/trsc.1090.0296
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    References listed on IDEAS

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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. Omar Abou Kasm & Ali Diabat & T. C. E. Cheng, 2020. "The integrated berth allocation, quay crane assignment and scheduling problem: mathematical formulations and a case study," Annals of Operations Research, Springer, vol. 291(1), pages 435-461, August.
    3. Chung-Yee Lee & Ming Liu & Chengbin Chu, 2015. "Optimal Algorithm for the General Quay Crane Double-Cycling Problem," Transportation Science, INFORMS, vol. 49(4), pages 957-967, November.
    4. 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.
    5. 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.
    6. 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.
    7. Liu, Ming & Chu, Feng & Zhang, Zizhen & Chu, Chengbin, 2015. "A polynomial-time heuristic for the quay crane double-cycling problem with internal-reshuffling operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 52-74.
    8. 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).
    9. Chen, Lu & Langevin, André & Lu, Zhiqiang, 2013. "Integrated scheduling of crane handling and truck transportation in a maritime container terminal," European Journal of Operational Research, Elsevier, vol. 225(1), pages 142-152.
    10. 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.
    11. Yanling Chu & Xiaoju Zhang & Zhongzhen Yang, 2017. "Multiple quay cranes scheduling for double cycling in container terminals," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-19, July.
    12. Zhen, Lu & Wang, Kai & Wang, Shuaian & Qu, Xiaobo, 2018. "Tug scheduling for hinterland barge transport: A branch-and-price approach," European Journal of Operational Research, Elsevier, vol. 265(1), pages 119-132.
    13. 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.
    14. 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.
    15. Amir Hossein Gharehgozli & Gilbert Laporte & Yugang Yu & René de Koster, 2015. "Scheduling Twin Yard Cranes in a Container Block," Transportation Science, INFORMS, vol. 49(3), pages 686-705, August.
    16. Gharehgozli, Amir Hossein & Vernooij, Floris Gerardus & Zaerpour, Nima, 2017. "A simulation study of the performance of twin automated stacking cranes at a seaport container terminal," European Journal of Operational Research, Elsevier, vol. 261(1), pages 108-128.
    17. Nabil Nehme & Bacel Maddah & Isam A. Kaysi, 2021. "An integrated multi-ship crane allocation in Beirut Port container terminal," Operational Research, Springer, vol. 21(3), pages 1743-1761, September.
    18. 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.
    19. Liu, Ming & Lee, Chung-Yee & Zhang, Zizhen & Chu, Chengbin, 2016. "Bi-objective optimization for the container terminal integrated planning," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 720-749.
    20. Abou Kasm, Omar & Diabat, Ali & Bierlaire, Michel, 2021. "Vessel scheduling with pilotage and tugging considerations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 148(C).
    21. Feifeng Zheng & Yaxin Pang & Ming Liu & Yinfeng Xu, 2020. "Dynamic programming algorithms for the general quay crane double-cycling problem with internal-reshuffles," Journal of Combinatorial Optimization, Springer, vol. 39(3), pages 708-724, April.
    22. Gharehgozli, A.H. & Roy, D. & de Koster, M.B.M., 2014. "Sea Container Terminals," ERIM Report Series Research in Management ERS-2014-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    23. Ilaria Vacca & Matteo Salani & Michel Bierlaire, 2013. "An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment," Transportation Science, INFORMS, vol. 47(2), pages 148-161, May.

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