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Approximate the scheduling of quay cranes with non-crossing constraints

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  • Zhang, An
  • Zhang, Wenshuai
  • Chen, Yong
  • Chen, Guangting
  • Chen, Xufeng

Abstract

In port container terminals, the scheduling of quay cranes (QCs) for a container vessel is one of the most critical operations. This paper investigates the problem of scheduling quay cranes with non-crossing constraints, wherein QCs cannot cross over each other because they are on the same track. The objective is to minimise the makespan of a container vessel, which is the latest completion time among all handling tasks of the vessel. Compared with several 2-approximation algorithms in the literature, this paper presents an approximation algorithm with a worst case ratio 2−2m+1<2 for any m QCs. This ratio is demonstrated to be the best possible among all partition-based algorithms in the literature. Besides, we study the scheduling of two quay cranes with different processing speeds. For an arbitrary speed ratio s ≥ 1, an approximation algorithm with worst case ratio (1+s)21+s+s2 is provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:3:p:820-828
    DOI: 10.1016/j.ejor.2016.10.021
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    References listed on IDEAS

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    1. 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.
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    Citations

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    Cited by:

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    2. 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.
    3. 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).
    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. 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.
    6. 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.
    7. 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.
    8. Fan Bu & Heather Nachtmann, 2023. "Literature review and comparative analysis of inland waterways transport: “Container on Barge”," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 25(1), pages 140-173, March.

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