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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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    1. Changchun Liu & Xi Xiang & Li Zheng, 2020. "A two-stage robust optimization approach for the berth allocation problem under uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 425-452, June.
    2. Türkoğulları, Yavuz B. & Taşkın, Z. Caner & Aras, Necati & Altınel, İ. Kuban, 2014. "Optimal berth allocation and time-invariant quay crane assignment in container terminals," European Journal of Operational Research, Elsevier, vol. 235(1), pages 88-101.
    3. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    4. Ya Xu & Qiushuang Chen & Xiongwen Quan, 2012. "Robust berth scheduling with uncertain vessel delay and handling time," Annals of Operations Research, Springer, vol. 192(1), pages 123-140, January.
    5. Bierwirth, Christian & Meisel, Frank, 2015. "A follow-up survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 244(3), pages 675-689.
    6. Zhen, Lu & Lee, Loo Hay & Chew, Ek Peng, 2011. "A decision model for berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 212(1), pages 54-68, July.
    7. 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.
    8. Agostinho Agra & Marielle Christiansen & Lars Magnus Hvattum & Filipe Rodrigues, 2018. "Robust Optimization for a Maritime Inventory Routing Problem," Transportation Science, INFORMS, vol. 52(3), pages 509-525, June.
    9. Rodrigues, Filipe & Agra, Agostinho & Christiansen, Marielle & Hvattum, Lars Magnus & Requejo, Cristina, 2019. "Comparing techniques for modelling uncertainty in a maritime inventory routing problem," European Journal of Operational Research, Elsevier, vol. 277(3), pages 831-845.
    10. Ursavas, Evrim & Zhu, Stuart X., 2016. "Optimal policies for the berth allocation problem under stochastic nature," European Journal of Operational Research, Elsevier, vol. 255(2), pages 380-387.
    11. Schepler, Xavier & Balev, Stefan & Michel, Sophie & Sanlaville, Éric, 2017. "Global planning in a multi-terminal and multi-modal maritime container port," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 38-62.
    12. 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.
    13. Grani A. Hanasusanto & Daniel Kuhn & Wolfram Wiesemann, 2015. "K -Adaptability in Two-Stage Robust Binary Programming," Operations Research, INFORMS, vol. 63(4), pages 877-891, August.
    14. Agra, Agostinho & Oliveira, Maryse, 2018. "MIP approaches for the integrated berth allocation and quay crane assignment and scheduling problem," European Journal of Operational Research, Elsevier, vol. 264(1), pages 138-148.
    15. Changchun Liu & Xi Xiang & Li Zheng, 2017. "Two decision models for berth allocation problem under uncertainty considering service level," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 312-344, December.
    16. Iris, Çağatay & Lam, Jasmine Siu Lee, 2019. "Recoverable robustness in weekly berth and quay crane planning," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 365-389.
    17. 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.
    18. Giallombardo, Giovanni & Moccia, Luigi & Salani, Matteo & Vacca, Ilaria, 2010. "Modeling and solving the Tactical Berth Allocation Problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 232-245, February.
    19. Zhen, Lu, 2015. "Tactical berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 247(3), pages 928-944.
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    3. 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).
    4. 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).
    5. 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).
    6. 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).
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Buddhi A. Weerasinghe & H. Niles Perera & Xiwen Bai, 2024. "Optimizing container terminal operations: a systematic review of operations research applications," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 26(2), pages 307-341, June.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    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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