IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v20y2017i5d10.1007_s10951-017-0510-8.html
   My bibliography  Save this article

Mathematical models for the berth allocation problem in dry bulk terminals

Author

Listed:
  • Andreas T. Ernst

    (Monash University)

  • Ceyda Oğuz

    (Koç University)

  • Gaurav Singh

    (BHP Billiton)

  • Gita Taherkhani

    (Koç University)

Abstract

Port terminals processing large cargo vessels play an important role in bulk material supply chains. This paper addresses the question of how to allocate vessels to a location on a berth and the sequence in which the vessels should be processed in order to minimize delays. An important consideration in the berth allocation is the presence of tidal constraints that limit the departure of fully loaded vessels from the terminal. We show how the berth allocation problem can be modeled as an integer program and discuss a number of ways to tighten the formulation in order to make it computationally tractable. In addition, a two-phase method is developed for solving these problems. Empirical computational results demonstrate an order of magnitude improvement in performance. The two new approaches can solve significantly larger instances, producing faster solutions for small instances and much tighter bounds for large instances.

Suggested Citation

  • Andreas T. Ernst & Ceyda Oğuz & Gaurav Singh & Gita Taherkhani, 2017. "Mathematical models for the berth allocation problem in dry bulk terminals," Journal of Scheduling, Springer, vol. 20(5), pages 459-473, October.
    • Handle: RePEc:spr:jsched:v:20:y:2017:i:5:d:10.1007_s10951-017-0510-8
    DOI: 10.1007/s10951-017-0510-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-017-0510-8
    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/s10951-017-0510-8?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. Nishimura, Etsuko & Imai, Akio & Papadimitriou, Stratos, 2001. "Berth allocation planning in the public berth system by genetic algorithms," European Journal of Operational Research, Elsevier, vol. 131(2), pages 282-292, June.
    3. Lee, Der-Horng & Chen, Jiang Hang & Cao, Jin Xin, 2010. "The continuous Berth Allocation Problem: A Greedy Randomized Adaptive Search Solution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 1017-1029, November.
    4. Imai, Akio & Sun, Xin & Nishimura, Etsuko & Papadimitriou, Stratos, 2005. "Berth allocation in a container port: using a continuous location space approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 199-221, March.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Castro, Pedro M. & Oliveira, José F., 2011. "Scheduling inspired models for two-dimensional packing problems," European Journal of Operational Research, Elsevier, vol. 215(1), pages 45-56, November.
    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. Gleb Belov & Natashia L. Boland & Martin W. P. Savelsbergh & Peter J. Stuckey, 2020. "Logistics optimization for a coal supply chain," Journal of Heuristics, Springer, vol. 26(2), pages 269-300, April.
    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. Alessandro Hill & Eduardo Lalla-Ruiz & Stefan Voß & Marcos Goycoolea, 2019. "A multi-mode resource-constrained project scheduling reformulation for the waterway ship scheduling problem," Journal of Scheduling, Springer, vol. 22(2), pages 173-182, April.
    4. 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).
    5. Balci, Gökcay & Cetin, Ismail Bilge & Esmer, Soner, 2018. "An evaluation of competition and selection criteria between dry bulk terminals in Izmir," Journal of Transport Geography, Elsevier, vol. 69(C), pages 294-304.
    6. Dafnomilis, I. & Duinkerken, M.B. & Junginger, M. & Lodewijks, G. & Schott, D.L., 2018. "Optimal equipment deployment for biomass terminal operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 147-163.
    7. Bukchin, Yossi & Raviv, Tal & Zaides, Ilya, 2020. "The consecutive multiprocessor job scheduling problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 427-438.
    8. Liu, Baoli & Li, Zhi-Chun & Wang, Yadong, 2023. "A branch-and-price heuristic algorithm for the bunkering operation problem of a liquefied natural gas bunkering station in the inland waterways," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 145-170.
    9. Unsal, Ozgur & Oguz, Ceyda, 2019. "An exact algorithm for integrated planning of operations in dry bulk terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 103-121.
    10. 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.
    11. João Luiz Marques Andrade & Gustavo Campos Menezes, 2023. "A column generation-based heuristic to solve the integrated planning, scheduling, yard allocation and berth allocation problem in bulk ports," Journal of Heuristics, Springer, vol. 29(1), pages 39-76, February.
    12. Correcher, Juan Francisco & Van den Bossche, Thomas & Alvarez-Valdes, Ramon & Vanden Berghe, Greet, 2019. "The berth allocation problem in terminals with irregular layouts," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1096-1108.

    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. 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.
    2. Shangyao Yan & Chung-Cheng Lu & Jun-Hsiao Hsieh & Han-Chun Lin, 2019. "A Dynamic and Flexible Berth Allocation Model with Stochastic Vessel Arrival Times," Networks and Spatial Economics, Springer, vol. 19(3), pages 903-927, September.
    3. 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.
    4. Qin, Tianbao & Du, Yuquan & Sha, Mei, 2016. "Evaluating the solution performance of IP and CP for berth allocation with time-varying water depth," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 87(C), pages 167-185.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2013. "Marine container terminal configurations for efficient handling of mega-containerships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 141-158.
    11. 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.
    12. 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.
    13. 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.
    14. Zhen, Lu, 2015. "Tactical berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 247(3), pages 928-944.
    15. Ya Xu & Kelei Xue & Yuquan Du, 2018. "Berth Scheduling Problem Considering Traffic Limitations in the Navigation Channel," Sustainability, MDPI, vol. 10(12), pages 1-22, December.
    16. Shih-Wei Lin & Ching-Jung Ting & Kun-Chih Wu, 2018. "Simulated annealing with different vessel assignment strategies for the continuous berth allocation problem," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 740-763, December.
    17. Arijit De & Saurabh Pratap & Akhilesh Kumar & M. K. Tiwari, 2020. "A hybrid dynamic berth allocation planning problem with fuel costs considerations for container terminal port using chemical reaction optimization approach," Annals of Operations Research, Springer, vol. 290(1), pages 783-811, July.
    18. Changchun Liu & Xi Xiang & Li Zheng, 2020. "A two-stage robust optimization approach for the berth allocation problem under uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 425-452, June.
    19. 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.
    20. Zhen, Lu & Lee, Loo Hay & Chew, Ek Peng, 2011. "A decision model for berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 212(1), pages 54-68, July.

    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:jsched:v:20:y:2017:i:5:d:10.1007_s10951-017-0510-8. 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.