IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v286y2020i1d10.1007_s10479-017-2715-9.html
   My bibliography  Save this article

A dynamic programming-based matheuristic for the dynamic berth allocation problem

Author

Listed:
  • Tatsushi Nishi

    (Osaka University)

  • Tatsuya Okura

    (Osaka University)

  • Eduardo Lalla-Ruiz

    (University of Hamburg)

  • Stefan Voß

    (University of Hamburg)

Abstract

The increasing maritime traffic forces terminal operators to efficiently reduce the container ships’ service time in order to maintain or increase their market share. This situation gives rise to the well-known berth allocation problem. Its goal is to determine the allocation and the berthing time of container ships arriving to the port with the aim of minimizing the total service time. For tackling this problem, we propose a dynamic programming-based matheuristic that allows to derive lower and upper bounds, and therefore, evaluate the optimality of the provided solutions. Its behavior is assessed on realistic problem instances from the related literature as well as on a new set of larger instances with 150 ships and 15 berths. The results indicate that our proposed approach shows a competitive performance.

Suggested Citation

  • Tatsushi Nishi & Tatsuya Okura & Eduardo Lalla-Ruiz & Stefan Voß, 2020. "A dynamic programming-based matheuristic for the dynamic berth allocation problem," Annals of Operations Research, Springer, vol. 286(1), pages 391-410, March.
    • Handle: RePEc:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-017-2715-9
    DOI: 10.1007/s10479-017-2715-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-017-2715-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-017-2715-9?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. Jean-François Cordeau & Gilbert Laporte & Pasquale Legato & Luigi Moccia, 2005. "Models and Tabu Search Heuristics for the Berth-Allocation Problem," Transportation Science, INFORMS, vol. 39(4), pages 526-538, November.
    2. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2001. "The dynamic berth allocation problem for a container port," Transportation Research Part B: Methodological, Elsevier, vol. 35(4), pages 401-417, May.
    3. Richard K. Congram & Chris N. Potts & Steef L. van de Velde, 2002. "An Iterated Dynasearch Algorithm for the Single-Machine Total Weighted Tardiness Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 52-67, February.
    4. Buhrkal, Katja & Zuglian, Sara & Ropke, Stefan & Larsen, Jesper & Lusby, Richard, 2011. "Models for the discrete berth allocation problem: A computational comparison," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(4), pages 461-473, July.
    5. J-F Cordeau & G Laporte & A Mercier, 2001. "A unified tabu search heuristic for vehicle routing problems with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 928-936, August.
    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. 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).
    2. 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.
    3. Jaap-Jan Steeg & Menno Oudshoorn & Neil Yorke-Smith, 2023. "Berth planning and real-time disruption recovery: a simulation study for a tidal port," Flexible Services and Manufacturing Journal, Springer, vol. 35(1), pages 70-110, March.
    4. Elham Ziar & Mehdi Seifbarghy & Mahdi Bashiri & Benny Tjahjono, 2023. "An efficient environmentally friendly transportation network design via dry ports: a bi-level programming approach," Annals of Operations Research, Springer, vol. 322(2), pages 1143-1166, March.
    5. Petris, Matteo & Pellegrini, Paola & Pesenti, Raffaele, 2022. "Models and algorithms for an integrated vessel scheduling and tug assignment problem within a canal harbor," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1120-1135.
    6. Marco Antonio Boschetti & Vittorio Maniezzo, 2022. "Matheuristics: using mathematics for heuristic design," 4OR, Springer, vol. 20(2), pages 173-208, June.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Paul Corry & Christian Bierwirth, 2019. "The Berth Allocation Problem with Channel Restrictions," Transportation Science, INFORMS, vol. 53(3), pages 708-727, May.
    11. Nitish Umang & Michel Bierlaire & Alan L. Erera, 2017. "Real-time management of berth allocation with stochastic arrival and handling times," Journal of Scheduling, Springer, vol. 20(1), pages 67-83, February.
    12. Xavier Schepler & Nabil Absi & Dominique Feillet & Eric Sanlaville, 2019. "The stochastic discrete berth allocation problem," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(4), pages 363-396, December.
    13. Yuquan Du & Qiushuang Chen & Jasmine Siu Lee Lam & Ya Xu & Jin Xin Cao, 2015. "Modeling the Impacts of Tides and the Virtual Arrival Policy in Berth Allocation," Transportation Science, INFORMS, vol. 49(4), pages 939-956, November.
    14. Xu, Dongsheng & Li, Chung-Lun & Leung, Joseph Y.-T., 2012. "Berth allocation with time-dependent physical limitations on vessels," European Journal of Operational Research, Elsevier, vol. 216(1), pages 47-56.
    15. Lalla-Ruiz, Eduardo & Expósito-Izquierdo, Christopher & Melián-Batista, Belén & Moreno-Vega, J. Marcos, 2016. "A Set-Partitioning-based model for the Berth Allocation Problem under Time-Dependent Limitations," European Journal of Operational Research, Elsevier, vol. 250(3), pages 1001-1012.
    16. 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).
    17. 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.
    18. 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.
    19. 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.
    20. Eduardo Lalla-Ruiz & Stefan Voß & Christopher Expósito-Izquierdo & Belén Melián-Batista & J. Marcos Moreno-Vega, 2017. "A POPMUSIC-based approach for the berth allocation problem under time-dependent limitations," Annals of Operations Research, Springer, vol. 253(2), pages 871-897, June.

    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:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-017-2715-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.