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A robust optimization approach to the integrated berth allocation and quay crane assignment problem

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  • Shang, Xiao Ting
  • Cao, Jin Xin
  • Ren, Jie

Abstract

This paper investigates the integrated berth allocation and quay crane assignment problem in container terminals. A deterministic model is formulated by considering the setup time of quay cranes. However, data uncertainties widely exist, and it may cause the deterministic solution to be infeasible. To handle the uncertainties, a robust optimization model is established. Furthermore, to control the level of conservativeness, another robust optimization model with the price constraints is proposed. A genetic algorithm and an insertion heuristic algorithm are suggested to obtain near optimal solutions. Computational experiments indicate that the presented models and algorithms are effective to solve the problems.

Suggested Citation

  • Shang, Xiao Ting & Cao, Jin Xin & Ren, Jie, 2016. "A robust optimization approach to the integrated berth allocation and quay crane assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 44-65.
    • Handle: RePEc:eee:transe:v:94:y:2016:i:c:p:44-65
    DOI: 10.1016/j.tre.2016.06.011
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    Cited by:

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    4. Jia, Shuai & Li, Chung-Lun & Xu, Zhou, 2020. "A simulation optimization method for deep-sea vessel berth planning and feeder arrival scheduling at a container port," Transportation Research Part B: Methodological, Elsevier, vol. 142(C), pages 174-196.
    5. Wang, Chong & Liu, Kaiyuan & Zhang, Canrong & Miao, Lixin, 2024. "Distributionally robust chance-constrained optimization for the integrated berth allocation and quay crane assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 182(C).
    6. Chargui, Kaoutar & Zouadi, Tarik & Sreedharan, V. Raja & El Fallahi, Abdellah & Reghioui, Mohamed, 2023. "A novel robust exact decomposition algorithm for berth and quay crane allocation and scheduling problem considering uncertainty and energy efficiency," Omega, Elsevier, vol. 118(C).
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    9. Chargui, Kaoutar & Zouadi, Tarik & El Fallahi, Abdellah & Reghioui, Mohamed & Aouam, Tarik, 2021. "Berth and quay crane allocation and scheduling with worker performance variability and yard truck deployment in container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    10. 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.
    11. Sung Won Cho & Hyun Ji Park & Chulung Lee, 2021. "An integrated method for berth allocation and quay crane assignment to allow for reassignment of vessels to other terminals," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 23(1), pages 123-153, March.
    12. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).
    13. Sungki Kim & Sanggyun Choi & Chanho Kim, 2021. "The Framework for Measuring Port Resilience in Korean Port Case," Sustainability, MDPI, vol. 13(21), pages 1-20, October.
    14. Rodrigues, Filipe & Agra, Agostinho, 2021. "An exact robust approach for the integrated berth allocation and quay crane scheduling problem under uncertain arrival times," European Journal of Operational Research, Elsevier, vol. 295(2), pages 499-516.
    15. Ya Xu & Kelei Xue & Yuquan Du, 2018. "Berth Scheduling Problem Considering Traffic Limitations in the Navigation Channel," Sustainability, MDPI, vol. 10(12), pages 1-22, December.
    16. João Luiz Marques Andrade & Gustavo Campos Menezes, 2023. "A column generation-based heuristic to solve the integrated planning, scheduling, yard allocation and berth allocation problem in bulk ports," Journal of Heuristics, Springer, vol. 29(1), pages 39-76, February.
    17. Correcher, Juan Francisco & Van den Bossche, Thomas & Alvarez-Valdes, Ramon & Vanden Berghe, Greet, 2019. "The berth allocation problem in terminals with irregular layouts," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1096-1108.
    18. Zhen, Lu & Zhuge, Dan & Wang, Shuaian & Wang, Kai, 2022. "Integrated berth and yard space allocation under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 1-27.
    19. 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.
    20. Rodrigues, Filipe & Agra, Agostinho, 2022. "Berth allocation and quay crane assignment/scheduling problem under uncertainty: A survey," European Journal of Operational Research, Elsevier, vol. 303(2), pages 501-524.
    21. Iris, Çağatay & Pacino, Dario & Ropke, Stefan, 2017. "Improved formulations and an Adaptive Large Neighborhood Search heuristic for the integrated berth allocation and quay crane assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 123-147.
    22. 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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