IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v75y2015icp67-94.html
   My bibliography  Save this article

Multi-period hub location problems in transportation

Author

Listed:
  • Gelareh, Shahin
  • Neamatian Monemi, Rahimeh
  • Nickel, Stefan

Abstract

Many transport service providers operate on hub-and-spoke network structures. Major operators may have several dedicated hub facilities that are leased for a time horizon rather than being owned or constructed. For a given discrete planning horizon, service providers must decide on the location of the hub ports (i.e. terminals), the period when the lease contract starts, the period when the existing contracts must be terminated and the flow routing over the entire planning horizon so as to minimize the total operational cost. Thus, we propose a mathematical model for a Multi-period Uncapacitated Multiple Allocation Hub Location Problem with Budget Constraint. The proposed model incorporates several features of practice, particularly from maritime and land transport practices. We also propose a meta-heuristic solution algorithm that produces high-quality solutions in a reasonable amount of time. By exploiting the decomposable structure of the model, we extended a Benders decomposition approach by proposing several improvements. Extensive computational experiments confirm the efficiency of the proposed methods and also show its limitations.

Suggested Citation

  • Gelareh, Shahin & Neamatian Monemi, Rahimeh & Nickel, Stefan, 2015. "Multi-period hub location problems in transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 67-94.
    • Handle: RePEc:eee:transe:v:75:y:2015:i:c:p:67-94
    DOI: 10.1016/j.tre.2014.12.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554514002282
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tre.2014.12.016?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. Isabel Correia & Stefan Nickel & Francisco Saldanha-da-Gama, 2014. "Multi-product Capacitated Single-Allocation Hub Location Problems: Formulations and Inequalities," Networks and Spatial Economics, Springer, vol. 14(1), pages 1-25, March.
    2. Alumur, Sibel A. & Kara, Bahar Y. & Karasan, Oya E., 2009. "The design of single allocation incomplete hub networks," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 936-951, December.
    3. Boysen, Nils & Fliedner, Malte, 2010. "Cross dock scheduling: Classification, literature review and research agenda," Omega, Elsevier, vol. 38(6), pages 413-422, December.
    4. Campbell, James F., 1990. "Locating transportation terminals to serve an expanding demand," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 173-192, June.
    5. Bahar Y. Kara & Mehmet R. Taner, 2011. "Hub Location Problems: The Location of Interacting Facilities," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 273-288, Springer.
    6. Freund, Robert Michael. & Roundy, Robin. & Todd, Michael J., 1947-, 1985. "Identifying the set of always-active constraints in a system of linear inequalities by a single linear program," Working papers 1674-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
    8. O'Kelly, M. E. & Bryan, D. L., 1998. "Hub location with flow economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 605-616, November.
    9. Poojari, C.A. & Beasley, J.E., 2009. "Improving benders decomposition using a genetic algorithm," European Journal of Operational Research, Elsevier, vol. 199(1), pages 89-97, November.
    10. S Alumur & B Y Kara, 2009. "A hub covering network design problem for cargo applications in Turkey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1349-1359, October.
    11. J. Benders, 2005. "Partitioning procedures for solving mixed-variables programming problems," Computational Management Science, Springer, vol. 2(1), pages 3-19, January.
    12. Alumur, Sibel & Kara, Bahar Y., 2008. "Network hub location problems: The state of the art," European Journal of Operational Research, Elsevier, vol. 190(1), pages 1-21, October.
    13. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    14. Gelareh, Shahin & Nickel, Stefan, 2011. "Hub location problems in transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1092-1111.
    15. Campbell, James F., 1994. "Integer programming formulations of discrete hub location problems," European Journal of Operational Research, Elsevier, vol. 72(2), pages 387-405, January.
    16. Ivan Contreras & Jean-François Cordeau & Gilbert Laporte, 2011. "Benders Decomposition for Large-Scale Uncapacitated Hub Location," Operations Research, INFORMS, vol. 59(6), pages 1477-1490, December.
    17. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    18. Dale McDaniel & Mike Devine, 1977. "A Modified Benders' Partitioning Algorithm for Mixed Integer Programming," Management Science, INFORMS, vol. 24(3), pages 312-319, November.
    19. M-G Yoon & J Current, 2008. "The hub location and network design problem with fixed and variable arc costs: formulation and dual-based solution heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 80-89, January.
    20. Ricardo Saraiva de Camargo & Gilberto de Miranda & Henrique Pacca L. Luna, 2009. "Benders Decomposition for Hub Location Problems with Economies of Scale," Transportation Science, INFORMS, vol. 43(1), pages 86-97, February.
    21. Contreras, Ivan & Fernández, Elena & Marín, Alfredo, 2010. "The Tree of Hubs Location Problem," European Journal of Operational Research, Elsevier, vol. 202(2), pages 390-400, April.
    22. Ivan Contreras & Jean-François Cordeau & Gilbert Laporte, 2011. "The Dynamic Uncapacitated Hub Location Problem," Transportation Science, INFORMS, vol. 45(1), pages 18-32, 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. Neamatian Monemi, Rahimeh & Gelareh, Shahin & Nagih, Anass & Maculan, Nelson & Danach, Kassem, 2021. "Multi-period hub location problem with serial demands: A case study of humanitarian aids distribution in Lebanon," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    2. Alumur, Sibel A. & Campbell, James F. & Contreras, Ivan & Kara, Bahar Y. & Marianov, Vladimir & O’Kelly, Morton E., 2021. "Perspectives on modeling hub location problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 1-17.
    3. de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.
    4. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
    5. Lüer-Villagra, Armin & Marianov, Vladimir, 2013. "A competitive hub location and pricing problem," European Journal of Operational Research, Elsevier, vol. 231(3), pages 734-744.
    6. Rahimeh Neamatian Monemi & Shahin Gelareh & Anass Nagih & Dylan Jones, 2021. "Bi-objective load balancing multiple allocation hub location: a compromise programming approach," Annals of Operations Research, Springer, vol. 296(1), pages 363-406, January.
    7. Mehmet R. Taner & Bahar Y. Kara, 2016. "Endogenous Effects of Hubbing on Flow Intensities," Networks and Spatial Economics, Springer, vol. 16(4), pages 1151-1181, December.
    8. Ghaffarinasab, Nader & Kara, Bahar Y. & Campbell, James F., 2022. "The stratified p-hub center and p-hub maximal covering problems," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 120-148.
    9. Taherkhani, Gita & Alumur, Sibel A., 2019. "Profit maximizing hub location problems," Omega, Elsevier, vol. 86(C), pages 1-15.
    10. Sibel A. Alumur & Stefan Nickel & Francisco Saldanha-da-Gama & Yusuf Seçerdin, 2016. "Multi-period hub network design problems with modular capacities," Annals of Operations Research, Springer, vol. 246(1), pages 289-312, November.
    11. Ramamoorthy, Prasanna & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2018. "Multiple allocation hub interdiction and protection problems: Model formulations and solution approaches," European Journal of Operational Research, Elsevier, vol. 270(1), pages 230-245.
    12. Elisangela Martins de Sá & Ivan Contreras & Jean-François Cordeau & Ricardo Saraiva de Camargo & Gilberto de Miranda, 2015. "The Hub Line Location Problem," Transportation Science, INFORMS, vol. 49(3), pages 500-518, August.
    13. Alumur, Sibel A. & Kara, Bahar Y. & Karasan, Oya E., 2012. "Multimodal hub location and hub network design," Omega, Elsevier, vol. 40(6), pages 927-939.
    14. Ghaffarinasab, Nader & Çavuş, Özlem & Kara, Bahar Y., 2023. "A mean-CVaR approach to the risk-averse single allocation hub location problem with flow-dependent economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 32-53.
    15. Meuffels, W.J.M., 2015. "The design of road and air networks for express service providers," Other publications TiSEM d3266cb8-bc55-41be-adc7-4, Tilburg University, School of Economics and Management.
    16. El Mehdi Ibnoulouafi & Mustapha Oudani & Tarik Aouam & Mounir Ghogho, 2022. "Intermodal Green p-Hub Median Problem with Incomplete Hub-Network," Sustainability, MDPI, vol. 14(18), pages 1-29, September.
    17. Alumur, Sibel A. & Yaman, Hande & Kara, Bahar Y., 2012. "Hierarchical multimodal hub location problem with time-definite deliveries," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1107-1120.
    18. Alumur, Sibel A. & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2012. "Hub location under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 529-543.
    19. Meng, Qiang & Wang, Xinchang, 2011. "Intermodal hub-and-spoke network design: Incorporating multiple stakeholders and multi-type containers," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 724-742, May.
    20. Contreras, Ivan & Fernández, Elena, 2012. "General network design: A unified view of combined location and network design problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 680-697.

    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:transe:v:75:y:2015:i:c:p:67-94. 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/wps/find/journaldescription.cws_home/600244/description#description .

    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.