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The Berth Allocation Problem: A Strong Formulation Solved by a Lagrangean Approach

Citations

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  1. Feng Li & Jiuh-Biing Sheu & Zi-You Gao, 2015. "Solving the Continuous Berth Allocation and Specific Quay Crane Assignment Problems with Quay Crane Coverage Range," Transportation Science, INFORMS, vol. 49(4), pages 968-989, November.
  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. Kai Wang & Lu Zhen & Shuaian Wang, 2018. "Column Generation for the Integrated Berth Allocation, Quay Crane Assignment, and Yard Assignment Problem," Transportation Science, INFORMS, vol. 52(4), pages 812-834, August.
  4. Liu, Baoli & Li, Zhi-Chun & Wang, Yadong, 2022. "A two-stage stochastic programming model for seaport berth and channel planning with uncertainties in ship arrival and handling times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
  5. Liu, Baoli & Li, Zhi-Chun & Sheng, Dian & Wang, Yadong, 2021. "Integrated planning of berth allocation and vessel sequencing in a seaport with one-way navigation channel," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 23-47.
  6. Liu, Changchun, 2020. "Iterative heuristic for simultaneous allocations of berths, quay cranes, and yards under practical situations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
  7. Aijun Liu & Haiyang Liu & Sang-Bing Tsai & Hui Lu & Xiao Zhang & Jiangtao Wang, 2018. "Using a Hybrid Model on Joint Scheduling of Berths and Quay Cranes—From a Sustainable Perspective," Sustainability, MDPI, vol. 10(6), pages 1-15, June.
  8. Yongpei Guan & Kang-Hung Yang & Zhili Zhou, 2013. "The crane scheduling problem: models and solution approaches," Annals of Operations Research, Springer, vol. 203(1), pages 119-139, March.
  9. 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.
  10. Shih-Wei Lin & Ching-Jung Ting & Kun-Chih Wu, 2018. "Simulated annealing with different vessel assignment strategies for the continuous berth allocation problem," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 740-763, December.
  11. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2013. "Marine container terminal configurations for efficient handling of mega-containerships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 141-158.
  12. Robenek, Tomáš & Umang, Nitish & Bierlaire, Michel & Ropke, Stefan, 2014. "A branch-and-price algorithm to solve the integrated berth allocation and yard assignment problem in bulk ports," European Journal of Operational Research, Elsevier, vol. 235(2), pages 399-411.
  13. Liu, Baoli & Li, Zhi-Chun & Wang, Yadong & Sheng, Dian, 2021. "Short-term berth planning and ship scheduling for a busy seaport with channel restrictions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
  14. Lingxiao Wu & Yossiri Adulyasak & Jean-François Cordeau & Shuaian Wang, 2022. "Vessel Service Planning in Seaports," Operations Research, INFORMS, vol. 70(4), pages 2032-2053, July.
  15. Danilo Abril & Carlos D. Paternina-Arboleda & Jesus Velasquez-Bermudez, 2024. "An Integrated Event-Driven Real-Time Tactical–Operational Optimization Framework for Smart Port Operations Planning," Logistics, MDPI, vol. 8(3), pages 1-37, June.
  16. 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.
  17. Yaqiong Lv & Jingwen Wang & Zhongyuan Liu & Mingkai Zou, 2025. "From Heuristics to Multi-Agent Learning: A Survey of Intelligent Scheduling Methods in Port Seaside Operations," Mathematics, MDPI, vol. 13(17), pages 1-57, August.
  18. 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.
  19. Paul Corry & Christian Bierwirth, 2019. "The Berth Allocation Problem with Channel Restrictions," Transportation Science, INFORMS, vol. 53(3), pages 708-727, May.
  20. Xiang, Xi & Liu, Changchun & Miao, Lixin, 2017. "A bi-objective robust model for berth allocation scheduling under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 294-319.
  21. Lu Zhen & Ek Peng Chew & Loo Hay Lee, 2011. "An Integrated Model for Berth Template and Yard Template Planning in Transshipment Hubs," Transportation Science, INFORMS, vol. 45(4), pages 483-504, November.
  22. Sunil Kumar Jauhar & Saurabh Pratap & Sachin Kamble & Shivam Gupta & Amine Belhadi, 2026. "A prescriptive analytics approach to solve the continuous berth allocation and yard assignment problem using integrated carbon emissions policies," Annals of Operations Research, Springer, vol. 359(1), pages 157-188, April.
  23. 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.
  24. Zhen, Lu, 2015. "Tactical berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 247(3), pages 928-944.
  25. 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.
  26. Giorgi Tadumadze & Simon Emde & Heiko Diefenbach, 2020. "Exact and heuristic algorithms for scheduling jobs with time windows on unrelated parallel machines," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 461-497, June.
  27. Ruiqi Wu & Shiming Mao & Yi Sun, 2025. "Ternary Historical Memory-Based Robust Clustered Particle Swarm Optimization for Dynamic Berth Allocation and Crane Assignment Problem," Mathematics, MDPI, vol. 13(15), pages 1-23, August.
  28. Liu, Baoli & Wang, Xincheng & Wang, Zehao & Zheng, Jianfeng & Sheng, Dian, 2025. "Modeling and solving the joint berth allocation and vessel sequencing problem with speed optimization in a busy seaport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 197(C).
  29. Umang, Nitish & Bierlaire, Michel & Vacca, Ilaria, 2013. "Exact and heuristic methods to solve the berth allocation problem in bulk ports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 14-31.
  30. T. R. Lalita & G. S. R. Murthy, 2022. "Compact ILP formulations for a class of solutions to berth allocation and quay crane scheduling problems," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 413-439, March.
  31. Saurabh Pratap & Manoj Kumar B & Divyanshu Saxena & M.K. Tiwari, 2016. "Integrated scheduling of rake and stockyard management with ship berthing: a block based evolutionary algorithm," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4182-4204, July.
  32. 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.
  33. Fernández, Elena & Munoz-Marquez, Manuel, 2022. "New formulations and solutions for the strategic berth template problem," European Journal of Operational Research, Elsevier, vol. 298(1), pages 99-117.
  34. Fanrui Xie & Tao Wu & Canrong Zhang, 2019. "A Branch-and-Price Algorithm for the Integrated Berth Allocation and Quay Crane Assignment Problem," Transportation Science, INFORMS, vol. 53(5), pages 1427-1454, September.
  35. 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.
  36. Shangyao Yan & Chung-Cheng Lu & Jun-Hsiao Hsieh & Han-Chun Lin, 2019. "A Dynamic and Flexible Berth Allocation Model with Stochastic Vessel Arrival Times," Networks and Spatial Economics, Springer, vol. 19(3), pages 903-927, September.
  37. Zhen, Lu & Liang, Zhe & Zhuge, Dan & Lee, Loo Hay & Chew, Ek Peng, 2017. "Daily berth planning in a tidal port with channel flow control," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 193-217.
  38. Imai, Akio & Yamakawa, Yukiko & Huang, Kuancheng, 2014. "The strategic berth template problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 77-100.
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