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Optimal Algorithm for the General Quay Crane Double-Cycling Problem

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  • Chung-Yee Lee

    (Department of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong)

  • Ming Liu

    (School of Economics and Management, Tongji University, 200092 Shanghai, China,)

  • Chengbin Chu

    (Laboratoire Génie Industriel, École Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry Cedex, France)

Abstract

Quay crane efficiency is the key bottleneck for container port productivity. An important issue of container terminal optimization is the quay crane double-cycling problem (QCDCP). For the simple scenario without hatch covers, a two-machine flow shop scheduled model can be formulated that can be solved by Johnson’s rule. For the general QCDCP with hatch covers, the state-of-the-art solution approaches are only heuristics. The computational complexity of the problem, however, remains an open question.This paper focuses on the general QCDCP. We investigate the computational complexity of the problem, by showing that it can be formulated as a flow shop scheduling problem with series-parallel precedence constraints, thus allowing it to be solved polynomially. For ease of implementation, we present an optimal algorithm for the general QCDCP, which is a special and simplified version of Sidney’s algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:4:p:957-967
    DOI: 10.1287/trsc.2014.0563
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    References listed on IDEAS

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    2. 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.
    3. Damla Kizilay & Deniz Türsel Eliiyi, 2021. "A comprehensive review of quay crane scheduling, yard operations and integrations thereof in container terminals," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 1-42, March.
    4. Xiaoju Zhang & Huijuan Li & Meng Wu, 2022. "Optimization of Resource Allocation in Automated Container Terminals," Sustainability, MDPI, vol. 14(24), pages 1-16, December.
    5. 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.
    6. Lashkari, Shabnam & Wu, Yong & Petering, Matthew E.H., 2017. "Sequencing dual-spreader crane operations: Mathematical formulation and heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 262(2), pages 521-534.

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