IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v47y2011i6p1092-1111.html
   My bibliography  Save this article

Hub location problems in transportation networks

Author

Listed:
  • Gelareh, Shahin
  • Nickel, Stefan

Abstract

In this paper we propose a 4-index formulation for the uncapacitated multiple allocation hub location problem tailored for urban transport and liner shipping network design. This formulation is very tight and most of the tractable instances for MIP solvers are optimally solvable at the root node. While the existing state-of-the-art MIP solvers fail to solve even small size instances of problem, our accelerated and efficient primal (Benders) decomposition solves larger ones. In addition, a very efficient greedy heuristic, proven to be capable of obtaining high quality solutions, is proposed. We also introduce fixed cost values for Australian Post (AP) dataset.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:transe:v:47:y:2011:i:6:p:1092-1111
    DOI: 10.1016/j.tre.2011.04.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554511000597
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2011.04.009?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. Rodriguez-Martin, Inmaculada & Salazar-Gonzalez, Juan Jose, 2008. "Solving a capacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 468-479, January.
    2. R Aversa & R C Botter & H E Haralambides & H T Y Yoshizaki, 2005. "A Mixed Integer Programming Model on the Location of a Hub Port in the East Coast of South America," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 7(1), pages 1-18, March.
    3. 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.
    4. Aykin, Turgut, 1994. "Lagrangian relaxation based approaches to capacitated hub-and-spoke network design problem," European Journal of Operational Research, Elsevier, vol. 79(3), pages 501-523, December.
    5. Imai, Akio & Shintani, Koichi & Papadimitriou, Stratos, 2009. "Multi-port vs. Hub-and-Spoke port calls by containerships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(5), pages 740-757, September.
    6. Cunha, Claudio B. & Silva, Marcos Roberto, 2007. "A genetic algorithm for the problem of configuring a hub-and-spoke network for a LTL trucking company in Brazil," European Journal of Operational Research, Elsevier, vol. 179(3), pages 747-758, June.
    7. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos & Liu, Miaojia, 2006. "The economic viability of container mega-ships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(1), pages 21-41, January.
    8. Ebery, Jamie & Krishnamoorthy, Mohan & Ernst, Andreas & Boland, Natashia, 2000. "The capacitated multiple allocation hub location problem: Formulations and algorithms," European Journal of Operational Research, Elsevier, vol. 120(3), pages 614-631, February.
    9. 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.
    10. Ebery, Jamie, 2001. "Solving large single allocation p-hub problems with two or three hubs," European Journal of Operational Research, Elsevier, vol. 128(2), pages 447-458, January.
    11. 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.
    12. Kuby, Michael J. & Gray, Robert Gordon, 1993. "The hub network design problem with stopovers and feeders: The case of Federal Express," Transportation Research Part A: Policy and Practice, Elsevier, vol. 27(1), pages 1-12, January.
    13. Ananth V. Iyer & H. Donald Ratliff, 1990. "Accumulation Point Location on Tree Networks for Guaranteed Time Distribution," Management Science, INFORMS, vol. 36(8), pages 958-969, August.
    14. 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.
    15. Ernst, Andreas T. & Krishnamoorthy, Mohan, 1998. "Exact and heuristic algorithms for the uncapacitated multiple allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 104(1), pages 100-112, January.
    16. Lihui Bai & Paul A. Rubin, 2009. "Combinatorial Benders Cuts for the Minimum Tollbooth Problem," Operations Research, INFORMS, vol. 57(6), pages 1510-1522, December.
    17. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka & O'Kelly, Morton, 1996. "Tight linear programming relaxations of uncapacitated p-hub median problems," European Journal of Operational Research, Elsevier, vol. 94(3), pages 582-593, November.
    18. Morton E. O'Kelly & Harvey J. Miller, 1991. "Solution Strategies For The Single Facility Minimax Hub Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 70(4), pages 367-380, October.
    19. Yaman, Hande, 2009. "The hierarchical hub median problem with single assignment," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 643-658, July.
    20. 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.
    21. Gelareh, Shahin & Nickel, Stefan & Pisinger, David, 2010. "Liner shipping hub network design in a competitive environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 991-1004, November.
    22. Racunica, Illia & Wynter, Laura, 2005. "Optimal location of intermodal freight hubs," Transportation Research Part B: Methodological, Elsevier, vol. 39(5), pages 453-477, June.
    23. A.T. Ernst & M. Krishnamoorthy, 1999. "Solution algorithms for the capacitated single allocation hub location problem," Annals of Operations Research, Springer, vol. 86(0), pages 141-159, January.
    24. Sohn, Jinhyeon & Park, Sungsoo, 1998. "Efficient solution procedure and reduced size formulations for p-hub location problems," European Journal of Operational Research, Elsevier, vol. 108(1), pages 118-126, July.
    25. Jeong, Seung-Ju & Lee, Chi-Guhn & Bookbinder, James H., 2007. "The European freight railway system as a hub-and-spoke network," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(6), pages 523-536, July.
    26. Choong, Sook Tying & Cole, Michael H. & Kutanoglu, Erhan, 2002. "Empty container management for intermodal transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(6), pages 423-438, November.
    27. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    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. 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.
    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. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    6. Dhyani, Sneha & Jayaswal, Sachin & Sinha, Ankur & Vidyarthi, Navneet, 2019. "Alternate Second Order Conic Programming Reformulations for Hub Location with Capacity Selection under Demand," IIMA Working Papers WP 2018-12-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    7. Zheng, Jianfeng & Meng, Qiang & Sun, Zhuo, 2014. "Impact analysis of maritime cabotage legislations on liner hub-and-spoke shipping network design," European Journal of Operational Research, Elsevier, vol. 234(3), pages 874-884.
    8. 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.
    9. Yuan, Yun & Yu, Jie, 2018. "Locating transit hubs in a multi-modal transportation network: A cluster-based optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 85-103.
    10. Jayaswal, Sachin & Vidyarthi, Navneet, 2013. "Capacitated Multiple Allocation Hub Location with Service Level Constraints for Multiple Consignment Classes," IIMA Working Papers WP2013-11-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    11. 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.
    12. Nader Azizi & Navneet Vidyarthi & Satyaveer S. Chauhan, 2018. "Modelling and analysis of hub-and-spoke networks under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 264(1), pages 1-40, May.
    13. Gelareh, Shahin & Pisinger, David, 2011. "Fleet deployment, network design and hub location of liner shipping companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 947-964.
    14. Hande Yaman & Oya Ekin Karasan & Bahar Y. Kara, 2012. "Release Time Scheduling and Hub Location for Next-Day Delivery," Operations Research, INFORMS, vol. 60(4), pages 906-917, August.
    15. Taherkhani, Gita & Alumur, Sibel A., 2019. "Profit maximizing hub location problems," Omega, Elsevier, vol. 86(C), pages 1-15.
    16. Erdoğan, Güneş & Battarra, Maria & Rodríguez-Chía, Antonio M., 2022. "The hub location and pricing problem," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1035-1047.
    17. Jayaswal, Sachin & Vidyarthi, Navneet, 2023. "Multiple allocation hub location with service level constraints for two shipment classes," European Journal of Operational Research, Elsevier, vol. 309(2), pages 634-655.
    18. 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.
    19. Nader Ghaffarinasab & Bahar Y. Kara, 2019. "Benders Decomposition Algorithms for Two Variants of the Single Allocation Hub Location Problem," Networks and Spatial Economics, Springer, vol. 19(1), pages 83-108, March.
    20. Mahmutogullari, Ali Irfan & Kara, Bahar Y., 2016. "Hub location under competition," European Journal of Operational Research, Elsevier, vol. 250(1), pages 214-225.

    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:47:y:2011:i:6:p:1092-1111. 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.