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Simultaneous Allocation of Berths and Quay Cranes under Discrete Berth Situation

Author

Listed:
  • Canrong Zhang

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, P. R. China)

  • Tao Wu

    (Advanced Analytics Department, Dow Chemical, Midland, Michigan 48642, USA)

  • Mingyao Qi

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, P. R. China)

  • Lixin Miao

    (Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, P. R. China)

Abstract

This paper examines the simultaneous allocation of berths and quay cranes under discrete berth situation in container terminals. The berths of discrete type have been broadly applied in realistic production especially for the terminals whose berths are not aligned in a straight line. The typical features of such berths including wharf length constraints, water depth constraints, and berth-bound quay cranes have been considered in this paper. In contrast to the previous work which only deployed the number of quay cranes besides the assignment of berths, this paper assigns berths and quay cranes simultaneously. In addition, to better fit the realistic production, some practical features related to quay cranes including the interference between quay cranes, the berth-dependent productivity of quay cranes, and limited adjustments of the assigned quay cranes during operations have also been considered in this paper. An integer programming model is formulated for this problem, and a sub-gradient-based Lagrangian relaxation algorithm is proposed. A simple but efficient greedy insertion heuristics is developed to solve the decomposed primal problems to optimality. Based on actual data, numerical experiments are conducted to test the performance of the proposed algorithm.

Suggested Citation

  • Canrong Zhang & Tao Wu & Mingyao Qi & Lixin Miao, 2018. "Simultaneous Allocation of Berths and Quay Cranes under Discrete Berth Situation," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(03), pages 1-28, June.
    • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:03:n:s0217595918500112
    DOI: 10.1142/S0217595918500112
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    References listed on IDEAS

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    1. Jiyin Liu & Yat‐wah Wan & Lei Wang, 2006. "Quay crane scheduling at container terminals to minimize the maximum relative tardiness of vessel departures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 60-74, February.
    2. 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.
    3. Imai, Akio & Nishimura, Etsuko & Hattori, Masahiro & Papadimitriou, Stratos, 2007. "Berth allocation at indented berths for mega-containerships," European Journal of Operational Research, Elsevier, vol. 179(2), pages 579-593, June.
    4. Imai, Akio & Chen, Hsieh Chia & Nishimura, Etsuko & Papadimitriou, Stratos, 2008. "The simultaneous berth and quay crane allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 900-920, September.
    5. M. Flavia Monaco & Marcello Sammarra, 2007. "The Berth Allocation Problem: A Strong Formulation Solved by a Lagrangean Approach," Transportation Science, INFORMS, vol. 41(2), pages 265-280, May.
    6. Imai, Akio & Sun, Xin & Nishimura, Etsuko & Papadimitriou, Stratos, 2005. "Berth allocation in a container port: using a continuous location space approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 199-221, March.
    7. Kim, Kap Hwan & Park, Young-Man, 2004. "A crane scheduling method for port container terminals," European Journal of Operational Research, Elsevier, vol. 156(3), pages 752-768, August.
    8. Han, Xiao-le & Lu, Zhi-qiang & Xi, Li-feng, 2010. "A proactive approach for simultaneous berth and quay crane scheduling problem with stochastic arrival and handling time," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1327-1340, December.
    9. Kim, Kap Hwan & Moon, Kyung Chan, 2003. "Berth scheduling by simulated annealing," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 541-560, July.
    10. Legato, Pasquale & Mazza, Rina M., 2001. "Berth planning and resources optimisation at a container terminal via discrete event simulation," European Journal of Operational Research, Elsevier, vol. 133(3), pages 537-547, September.
    11. Chang, Daofang & Jiang, Zuhua & Yan, Wei & He, Junliang, 2010. "Integrating berth allocation and quay crane assignments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 975-990, November.
    12. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    13. Buhrkal, Katja & Zuglian, Sara & Ropke, Stefan & Larsen, Jesper & Lusby, Richard, 2011. "Models for the discrete berth allocation problem: A computational comparison," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(4), pages 461-473, July.
    14. K T Park & K H Kim, 2002. "Berth scheduling for container terminals by using a sub-gradient optimization technique," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 1054-1062, September.
    15. Changchun Liu & Xi Xiang & Canrong Zhang & Li Zheng, 2016. "A Decision Model for Berth Allocation Under Uncertainty Considering Service Level Using an Adaptive Differential Evolution Algorithm," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-28, December.
    16. P. C. Gilmore & R. E. Gomory, 1965. "Multistage Cutting Stock Problems of Two and More Dimensions," Operations Research, INFORMS, vol. 13(1), pages 94-120, February.
    17. Lee, Der-Horng & Wang, Hui Qiu & Miao, Lixin, 2008. "Quay crane scheduling with non-interference constraints in port container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 124-135, January.
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    Cited by:

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    2. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).

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