IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v235y2014i1p88-101.html
   My bibliography  Save this article

Optimal berth allocation and time-invariant quay crane assignment in container terminals

Author

Listed:
  • Türkoğulları, Yavuz B.
  • Taşkın, Z. Caner
  • Aras, Necati
  • Altınel, İ. Kuban

Abstract

Due to the dramatic increase in the world’s container traffic, the efficient management of operations in seaport container terminals has become a crucial issue. In this work, we focus on the integrated planning of the following problems faced at container terminals: berth allocation, quay crane assignment (number), and quay crane assignment (specific). First, we formulate a new binary integer linear program for the integrated solution of the berth allocation and quay crane assignment (number) problems called BACAP. Then we extend it by incorporating the quay crane assignment (specific) problem as well, which is named BACASP. Computational experiments performed on problem instances of various sizes indicate that the model for BACAP is very efficient and even large instances up to 60 vessels can be solved to optimality. Unfortunately, this is not the case for BACASP. Therefore, to be able to solve large instances, we present a necessary and sufficient condition for generating an optimal solution of BACASP from an optimal solution of BACAP using a post-processing algorithm. In case this condition is not satisfied, we make use of a cutting plane algorithm which solves BACAP repeatedly by adding cuts generated from the optimal solutions until the aforementioned condition holds. This method proves to be viable and enables us to solve large BACASP instances as well. To the best of our knowledge, these are the largest instances that can be solved to optimality for this difficult problem, which makes our work applicable to realistic problems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:235:y:2014:i:1:p:88-101
    DOI: 10.1016/j.ejor.2013.10.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221713008382
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2013.10.015?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. 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.
    2. Peterkofsky, Roy I. & Daganzo, Carlos F., 1990. "A branch and bound solution method for the crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 159-172, June.
    3. 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.
    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. 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.
    6. Daganzo, Carlos F., 1989. "The crane scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 23(3), pages 159-175, June.
    7. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    8. Imai, Akio & Chen, Hsieh Chia & Nishimura, Etsuko & Papadimitriou, Stratos, 2008. "The simultaneous berth and quay crane allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 900-920, September.
    9. 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.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. 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).
    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. 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.
    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. 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.
    8. Zhen, Lu, 2015. "Tactical berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 247(3), pages 928-944.
    9. 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.
    10. 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.
    11. Ilaria Vacca & Matteo Salani & Michel Bierlaire, 2013. "An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment," Transportation Science, INFORMS, vol. 47(2), pages 148-161, May.
    12. Yi Ding & Shuai Jia & Tianyi Gu & Chung-Lun Li, 2016. "SGICT Builds an Optimization-Based System for Daily Berth Planning," Interfaces, INFORMS, vol. 46(4), pages 281-296, August.
    13. Xiang, Xi & Liu, Changchun, 2021. "An expanded robust optimisation approach for the berth allocation problem considering uncertain operation time," Omega, Elsevier, vol. 103(C).
    14. 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.
    15. 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.
    16. Hsien-Pin Hsu & Tai-Lin Chiang & Chia-Nan Wang & Hsin-Pin Fu & Chien-Chang Chou, 2019. "A Hybrid GA with Variable Quay Crane Assignment for Solving Berth Allocation Problem and Quay Crane Assignment Problem Simultaneously," Sustainability, MDPI, vol. 11(7), pages 1-21, April.
    17. 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.
    18. 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.
    19. 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.
    20. 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.

    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:235:y:2014:i:1:p:88-101. 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.