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Crane scheduling with non-crossing constraint

Author

Listed:
  • Y Zhu

    (University of California)

  • A Lim

    (Hong Kong University of Science and Technology, Clear Water Bay)

Abstract

In this paper, we examine crane scheduling for ports. This important component of port operations management is studied when the non-crossing spatial constraint, which is common to crane operations, is considered. We assume that ships can be divided into holds and that cranes can move from hold to hold but jobs are not pre-emptive, so that only one crane can work on one hold or job to complete it. Our objective is to minimize the latest completion time for all jobs. We formulate this problem as an integer programming problem. We provide the proof that this problem is NP-complete and design a branch-and-bound algorithm to obtain optimal solutions. A simulated annealing meta-heuristic with effective neighbourhood search is designed to find good solutions in larger size instances. The elaborate experimental results show that the branch-and-bound algorithm runs much faster than CPLEX and the simulated annealing approach can obtain near optimal solutions for instances of various sizes.

Suggested Citation

  • Y Zhu & A Lim, 2006. "Crane scheduling with non-crossing constraint," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(12), pages 1464-1471, December.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:12:d:10.1057_palgrave.jors.2602110
    DOI: 10.1057/palgrave.jors.2602110
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    References listed on IDEAS

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    1. Daganzo, Carlos F., 1989. "The crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 23(3), pages 159-175, June.
    2. Peterkofsky, Roy I. & Daganzo, Carlos F., 1990. "A branch and bound solution method for the crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 159-172, June.
    3. H Ding & A Lim & B Rodrigues & Y Zhu, 2004. "New heuristics for over-constrained flight to gate assignments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(7), pages 760-768, July.
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    Cited by:

    1. 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.
    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. Schulz, Arne & Fliedner, Malte & Fiedrich, Benedikt & Pfeiffer, Christian, 2021. "Levelling crane workload in multi-yard rail-road container terminals," European Journal of Operational Research, Elsevier, vol. 293(3), pages 941-954.
    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. Amir Gharehgozli & Debjit Roy & Suruchika Saini & Jan-Kees Ommeren, 2023. "Loading and unloading trains at the landside of container terminals," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 25(3), pages 549-575, September.
    7. 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.
    8. Li, Wenkai & Goh, Mark & Wu, Yong & Petering, M.E.H. & de Souza, R. & Wu, Y.C., 2012. "A continuous time model for multiple yard crane scheduling with last minute job arrivals," International Journal of Production Economics, Elsevier, vol. 136(2), pages 332-343.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Zhang, Xiaoju & Zeng, Qingcheng & Yang, Zhongzhen, 2016. "Modeling the mixed storage strategy for quay crane double cycling in container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 171-187.
    16. Kaveshgar, Narges & Huynh, Nathan, 2015. "Integrated quay crane and yard truck scheduling for unloading inbound containers," International Journal of Production Economics, Elsevier, vol. 159(C), pages 168-177.
    17. Enrico Angelelli & Thomas Kalinowski & Reena Kapoor & Martin W. P. Savelsbergh, 2016. "A reclaimer scheduling problem arising in coal stockyard management," Journal of Scheduling, Springer, vol. 19(5), pages 563-582, October.
    18. Türkoğulları, Yavuz B. & Taşkın, Z. Caner & Aras, Necati & Altınel, İ. Kuban, 2016. "Optimal berth allocation, time-variant quay crane assignment and scheduling with crane setups in container terminals," European Journal of Operational Research, Elsevier, vol. 254(3), pages 985-1001.
    19. Nils Boysen & Malte Fliedner & Florian Jaehn & Erwin Pesch, 2013. "A Survey on Container Processing in Railway Yards," Transportation Science, INFORMS, vol. 47(3), pages 312-329, August.
    20. Zhang, An & Zhang, Wenshuai & Chen, Yong & Chen, Guangting & Chen, Xufeng, 2017. "Approximate the scheduling of quay cranes with non-crossing constraints," European Journal of Operational Research, Elsevier, vol. 258(3), pages 820-828.

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