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A combinatorial benders’ cuts algorithm for the quayside operation problem at container terminals

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  • Chen, Jiang Hang
  • Lee, Der-Horng
  • Cao, Jin Xin

Abstract

The quayside operation problem is one of the key components in the management system for a container terminal. In this paper, the integrated models proposed in the previous studies to address the quayside operation problem are examined and one of the potential frameworks is identified. A new method called combinatorial benders’ cuts algorithm is developed to solve the berth-level model in the framework. The computational experiment conducted in this research shows that the proposed approach is more efficient than the branch and cut algorithm embedded in CPLEX.

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  • Chen, Jiang Hang & Lee, Der-Horng & Cao, Jin Xin, 2012. "A combinatorial benders’ cuts algorithm for the quayside operation problem at container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 266-275.
    • Handle: RePEc:eee:transe:v:48:y:2012:i:1:p:266-275
    DOI: 10.1016/j.tre.2011.06.004
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    1. Meisel, Frank & Bierwirth, Christian, 2009. "Heuristics for the integration of crane productivity in the berth allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 196-209, January.
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    3. Iris, Çağatay & Pacino, Dario & Ropke, Stefan & Larsen, Allan, 2015. "Integrated Berth Allocation and Quay Crane Assignment Problem: Set partitioning models and computational results," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 75-97.
    4. Jiayin Pan & Yinfeng Xu & Guiqing Zhang, 2018. "Online integrated allocation of berths and quay cranes in container terminals with 1-lookahead," Journal of Combinatorial Optimization, Springer, vol. 36(2), pages 617-636, August.
    5. Fang, Kan & Wang, Shijin & Pinedo, Michael L. & Chen, Lin & Chu, Feng, 2021. "A combinatorial Benders decomposition algorithm for parallel machine scheduling with working-time restrictions," European Journal of Operational Research, Elsevier, vol. 291(1), pages 128-146.
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    7. Gharehgozli, Amir & Zaerpour, Nima, 2018. "Stacking outbound barge containers in an automated deep-sea terminal," European Journal of Operational Research, Elsevier, vol. 267(3), pages 977-995.
    8. 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.
    9. Zhang, Qihuan & Wang, Ziteng & Huang, Min & Yu, Yang & Fang, Shu-Cherng, 2022. "Heterogeneous multi-depot collaborative vehicle routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 160(C), pages 1-20.
    10. Gharehgozli, Amir & Yu, Yugang & de Koster, René & Du, Shaofu, 2019. "Sequencing storage and retrieval requests in a container block with multiple open locations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 261-284.
    11. 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.
    12. 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.
    13. Gharehgozli, A.H. & Roy, D. & de Koster, M.B.M., 2014. "Sea Container Terminals," ERIM Report Series Research in Management ERS-2014-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    14. Mancini, Simona & Ciavotta, Michele & Meloni, Carlo, 2021. "The Multiple Multidimensional Knapsack with Family-Split Penalties," European Journal of Operational Research, Elsevier, vol. 289(3), pages 987-998.

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