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A Benders decomposition-based framework for solving quay crane scheduling problems

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  • Sun, Defeng
  • Tang, Lixin
  • Baldacci, Roberto

Abstract

In this paper, we study the Quay Crane Scheduling Problem (QCSP) in container terminals. We describe a new mathematical formulation for the QCSP and by addressing the structure of workload assignments we develop an easier way to handle non-crossing constraints. The proposed mathematical formulation is used in an exact solution framework based on logic-based Benders decomposition. The proposed approach decomposes the problem into a workload-assignment master problem and operation-sequence slave subproblems. Logic-based cuts are proposed to ensure the convergence of the approach. Computational results show the effectiveness of the proposed solution approach.

Suggested Citation

  • Sun, Defeng & Tang, Lixin & Baldacci, Roberto, 2019. "A Benders decomposition-based framework for solving quay crane scheduling problems," European Journal of Operational Research, Elsevier, vol. 273(2), pages 504-515.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:2:p:504-515
    DOI: 10.1016/j.ejor.2018.08.009
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    2. Cao, Zhen & Wang, Wenyuan & Jiang, Ying & Xu, Xinglu & Xu, Yunzhuo & Guo, Zijian, 2022. "Joint berth allocation and ship loader scheduling under the rotary loading mode in coal export terminals," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 229-260.
    3. Damla Kizilay & Deniz Türsel Eliiyi, 2021. "A comprehensive review of quay crane scheduling, yard operations and integrations thereof in container terminals," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 1-42, March.
    4. Zhou, Chenhao & Yuan, Mengxue & Zhang, Jingwen & Zhang, Wei, 2024. "A tree search algorithm for uncertainty-considered consecutive discharging and loading operations between ship and offshore platform," European Journal of Operational Research, Elsevier, vol. 315(2), pages 729-749.
    5. Chen, Sumin & Zeng, Qingcheng & Li, Yantong, 2023. "Integrated operations planning in highly electrified container terminals considering time-of-use tariffs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    6. 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.
    7. Roshanaei, Vahid & Naderi, Bahman, 2021. "Solving integrated operating room planning and scheduling: Logic-based Benders decomposition versus Branch-Price-and-Cut," European Journal of Operational Research, Elsevier, vol. 293(1), pages 65-78.
    8. Karim Pérez Martínez & Yossiri Adulyasak & Raf Jans, 2022. "Logic-Based Benders Decomposition for Integrated Process Configuration and Production Planning Problems," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 2177-2191, July.
    9. Sun, Defeng & Meng, Ying & Tang, Lixin & Liu, Jinyin & Huang, Baobin & Yang, Jiefu, 2020. "Storage space allocation problem at inland bulk material stockyard," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).
    10. Zhang, Zhe & Song, Xiaoling & Huang, Huijung & Zhou, Xiaoyang & Yin, Yong, 2022. "Logic-based Benders decomposition method for the seru scheduling problem with sequence-dependent setup time and DeJong’s learning effect," European Journal of Operational Research, Elsevier, vol. 297(3), pages 866-877.
    11. 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.
    12. Sun, Defeng & Tang, Lixin & Baldacci, Roberto & Lim, Andrew, 2021. "An exact algorithm for the unidirectional quay crane scheduling problem with vessel stability," European Journal of Operational Research, Elsevier, vol. 291(1), pages 271-283.

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