IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v275y2019i1p80-92.html
   My bibliography  Save this article

New exact methods for the time-invariant berth allocation and quay crane assignment problem

Author

Listed:
  • Correcher, Juan F.
  • Alvarez-Valdes, Ramon
  • Tamarit, Jose M.

Abstract

Efficient management of operations in seaport container terminals has become a critical issue, due to the increase in maritime traffic and the strong competition between ports. In this paper we focus on two seaside operational problems: the Berth Allocation Problem and the Quay Crane Assignment Problem, which are considered in an integrated way. For the continuous BACAP problem with time-invariant crane assignment we propose a new mixed integer linear model in which the vessels can be moored at any position on the quay, not requiring any quay discretization. The model is enhanced by adding several families of valid inequalities. The resulting model is able to solve instances with up to 50 vessels and outperforms other recently published proposals. In a second part, the model is extended to include the assignment of specific cranes to each vessel: the BACASP. This assignment ensures that the handling of each vessel can be carried out without disruptions, thus producing solutions that can be applied in practice. We also propose an iterative procedure for the BACASP in which the BACAP model is solved, and whenever its solution is not feasible for the BACASP, specific constraints are added until an optimal solution for the BACASP is found. Additionally, a branch-and-cut algorithm is proposed based on the cuts used in the iterative procedure. The computational study on several classes of test instances shows that problems with up to 40 vessels can be solved to optimality.

Suggested Citation

  • Correcher, Juan F. & Alvarez-Valdes, Ramon & Tamarit, Jose M., 2019. "New exact methods for the time-invariant berth allocation and quay crane assignment problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 80-92.
  • Handle: RePEc:eee:ejores:v:275:y:2019:i:1:p:80-92
    DOI: 10.1016/j.ejor.2018.11.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221718309329
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2018.11.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Türkoğulları, Yavuz B. & Taşkın, Z. Caner & Aras, Necati & Altınel, İ. Kuban, 2016. "Optimal berth allocation, time-variant quay crane assignment and scheduling with crane setups in container terminals," European Journal of Operational Research, Elsevier, vol. 254(3), pages 985-1001.
    6. Kim, Kap Hwan & Moon, Kyung Chan, 2003. "Berth scheduling by simulated annealing," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 541-560, July.
    7. Chang, Daofang & Jiang, Zuhua & Yan, Wei & He, Junliang, 2010. "Integrating berth allocation and quay crane assignments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 975-990, November.
    8. Frank Meisel & Christian Bierwirth, 2013. "A Framework for Integrated Berth Allocation and Crane Operations Planning in Seaport Container Terminals," Transportation Science, INFORMS, vol. 47(2), pages 131-147, May.
    9. 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.
    10. 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.
    11. J Blazewicz & T C E Cheng & M Machowiak & C Oguz, 2011. "Berth and quay crane allocation: a moldable task scheduling model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1189-1197, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    2. 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).
    3. Bouzekri, Hamza & Alpan, Gülgün & Giard, Vincent, 2021. "Integrated Laycan and Berth Allocation and time-invariant Quay Crane Assignment Problem in tidal ports with multiple quays," European Journal of Operational Research, Elsevier, vol. 293(3), pages 892-909.
    4. Hamza Bouzekri & Gülgün Alpan & Vincent Giard, 2020. "Integrated Laycan and Berth Allocation and time-invariant Quay Crane Assignment Problem in tidal ports with multiple quays," Working Papers hal-02480102, HAL.
    5. 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.
    6. Gao, Zhendi & Ji, Mingjun & Kong, Lingrui & Hou, Xinhao, 2024. "Scheduling of automated ore terminal operations based on fixed inflow rhythm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(C).
    7. Hamza Bouzekri & Gülgün Alpan & Vincent Giard, 2021. "Integrated Laycan and Berth Allocation and time-invariant Quay Crane Assignment Problem in tidal ports with multiple quays," Post-Print hal-02480102, HAL.
    8. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Sung Won Cho & Hyun Ji Park & Chulung Lee, 2021. "An integrated method for berth allocation and quay crane assignment to allow for reassignment of vessels to other terminals," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 23(1), pages 123-153, March.
    3. Xiang, Xi & Liu, Changchun, 2021. "An almost robust optimization model for integrated berth allocation and quay crane assignment problem," Omega, Elsevier, vol. 104(C).
    4. 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.
    5. Bouzekri, Hamza & Alpan, Gülgün & Giard, Vincent, 2021. "Integrated Laycan and Berth Allocation and time-invariant Quay Crane Assignment Problem in tidal ports with multiple quays," European Journal of Operational Research, Elsevier, vol. 293(3), pages 892-909.
    6. 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.
    7. 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.
    8. 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.
    9. 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).
    10. Xiang, Xi & Liu, Changchun, 2021. "An expanded robust optimisation approach for the berth allocation problem considering uncertain operation time," Omega, Elsevier, vol. 103(C).
    11. Hsien-Pin Hsu & Chia-Nan Wang, 2020. "Resources Planning for Container Terminal in a Maritime Supply Chain Using Multiple Particle Swarms Optimization (MPSO)," Mathematics, MDPI, vol. 8(5), pages 1-31, May.
    12. Wang, Tingsong & Wang, Xinchang & Meng, Qiang, 2018. "Joint berth allocation and quay crane assignment under different carbon taxation policies," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 18-36.
    13. Iris, Çağatay & Pacino, Dario & Ropke, Stefan, 2017. "Improved formulations and an Adaptive Large Neighborhood Search heuristic for the integrated berth allocation and quay crane assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 123-147.
    14. Omar Abou Kasm & Ali Diabat & T. C. E. Cheng, 2020. "The integrated berth allocation, quay crane assignment and scheduling problem: mathematical formulations and a case study," Annals of Operations Research, Springer, vol. 291(1), pages 435-461, August.
    15. 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.
    16. 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.
    17. Abdellah Salhi & Ghazwan Alsoufi & Xinan Yang, 2019. "An evolutionary approach to a combined mixed integer programming model of seaside operations as arise in container ports," Annals of Operations Research, Springer, vol. 272(1), pages 69-98, January.
    18. 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.
    19. Facchini, F. & Digiesi, S. & Mossa, G., 2020. "Optimal dry port configuration for container terminals: A non-linear model for sustainable decision making," International Journal of Production Economics, Elsevier, vol. 219(C), pages 164-178.
    20. Issam Krimi & Raca Todosijević & Rachid Benmansour & Mustapha Ratli & Abdessamad Ait Cadi & Afaf Aloullal, 2020. "Modelling and solving the multi-quays berth allocation and crane assignment problem with availability constraints," Journal of Global Optimization, Springer, vol. 78(2), pages 349-373, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:275:y:2019:i:1:p:80-92. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.