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Dynamic programming algorithms for the general quay crane double-cycling problem with internal-reshuffles

Author

Listed:
  • Feifeng Zheng

    (Donghua University)

  • Yaxin Pang

    (Donghua University)

  • Ming Liu

    (Tongji University)

  • Yinfeng Xu

    (Donghua University)

Abstract

High utilization of quay cranes is a major objective pursued by seaport terminal managers. Double-cycling technique has been shown to be effective in practice. Complicated with reshuffle operations, the productivity of quay cranes could be further improved, but the problem complexity increases as a side-effect. This paper studies a double-cycling quay crane scheduling problem in which reshuffle containers can be handled internally on the vessel. For this problem, no exact algorithm exists in the literature. We present a dynamic programming approach to optimally solve the problem. Our algorithm runs in polynomial time when the number of container stacks is fixed. We also extend our proposed optimal algorithm to the general case where hatch covers are involved.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:39:y:2020:i:3:d:10.1007_s10878-019-00508-9
    DOI: 10.1007/s10878-019-00508-9
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    References listed on IDEAS

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    1. Andrew Lim & Brian Rodrigues & Zhou Xu, 2007. "A m‐parallel crane scheduling problem with a non‐crossing constraint," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(2), pages 115-127, March.
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    9. 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.
    10. 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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    Cited by:

    1. Wen, Baolin & Kim, Kap Hwan & Feng, Xuehao, 2024. "Sequencing ship operations considering the trajectory of the quay crane spreader," Transportation Research Part B: Methodological, Elsevier, vol. 186(C).
    2. Jia, Beizhen & Tierney, Kevin & Reinhardt, Line Blander & Pahl, Julia, 2022. "Optimal dual cycling operations in roll-on roll-off terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    3. Li, Yiming & Sun, Zhuo & Hong, Soondo, 2024. "An exact algorithm for multiple-equipment integrated scheduling in an automated container terminal using a double-cycling strategy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).

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