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An exact robust approach for the integrated berth allocation and quay crane scheduling problem under uncertain arrival times

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  • Rodrigues, Filipe
  • Agra, Agostinho

Abstract

We consider an integrated berth allocation and quay crane assignment and scheduling problem where the arrival times of the vessels may be affected by uncertainty. The problem is modelled as a two-stage robust mixed integer program where the berth allocation decisions are taken before the exact arrival times are known, and the crane assignment and scheduling operations are adjusted to the arrival times. To solve the robust two-stage model, we follow a decomposition algorithm that decomposes the problem into a master problem and a separation problem. A new scenario reduction procedure for solving the separation problem is proposed as well as a warm start technique for reducing the number of iterations performed by the decomposition algorithm. To scale the proposed decomposition algorithm for large size instances, it is combined with a rolling horizon heuristic.The efficiency and effectiveness of the proposed algorithms are demonstrated through extensive computational experiments carried out on randomly generated instances with both homogeneous and heterogeneous cranes as well as on instances from the literature.

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  • 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.
    • Handle: RePEc:eee:ejores:v:295:y:2021:i:2:p:499-516
    DOI: 10.1016/j.ejor.2021.03.016
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    5. Guo, Liming & Zheng, Jianfeng & Du, Haoming & Du, Jian & Zhu, Zhihong, 2022. "The berth assignment and allocation problem considering cooperative liner carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(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).
    7. Meixian Jiang & Jiajia Feng & Jian Zhou & Lin Zhou & Fangzheng Ma & Guanghua Wu & Yuqiu Zhang, 2023. "Multi-Terminal Berth and Quay Crane Joint Scheduling in Container Ports Considering Carbon Cost," Sustainability, MDPI, vol. 15(6), pages 1-20, March.
    8. Guo, Liming & Zheng, Jianfeng & Liang, Jinpeng & Wang, Shuaian, 2023. "Column generation for the multi-port berth allocation problem with port cooperation stability," Transportation Research Part B: Methodological, Elsevier, vol. 171(C), pages 3-28.
    9. 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.
    10. Guo, Liming & Zheng, Jianfeng & Du, Jian & Gao, Ziyou & Fagerholt, Kjetil, 2024. "Integrated planning of berth allocation, quay crane assignment and yard assignment in multiple cooperative terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 183(C).
    11. Shaojian Qu & Xinqi Li & Chang Liu & Xufeng Tang & Zhisheng Peng & Ying Ji, 2023. "Two-Stage Robust Programming Modeling for Continuous Berth Allocation with Uncertain Vessel Arrival Time," Sustainability, MDPI, vol. 15(13), pages 1-30, July.
    12. 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.
    13. 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.
    14. Agra, Agostinho & Rodrigues, Filipe, 2022. "Distributionally robust optimization for the berth allocation problem under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 1-24.
    15. 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.
    16. Jia, Shuai & Li, Chung-Lun & Meng, Qiang, 2024. "The dry dock scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 181(C).

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