IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v86y2019icp1-15.html
   My bibliography  Save this article

Profit maximizing hub location problems

Author

Listed:
  • Taherkhani, Gita
  • Alumur, Sibel A.

Abstract

In this paper, we study profit maximizing hub location problems. We formulate mathematical models determining the location of hubs, designing the hub networks, and routing the demand in order to maximize profit. The profit is calculated by summing the total revenue minus total cost. Total cost includes the total transportation cost, the installation cost of hubs, and the cost of operating hub links. We consider all possible allocation strategies: multiple allocation, single allocation, and r-allocation. As an extension, for each allocation strategy, we also model the cases in which direct connections between non-hub nodes are allowed. To test and evaluate the performances of the proposed models, we use two well-known data sets from the literature. We analyze the resulting hub networks under various different parameter settings.

Suggested Citation

  • Taherkhani, Gita & Alumur, Sibel A., 2019. "Profit maximizing hub location problems," Omega, Elsevier, vol. 86(C), pages 1-15.
  • Handle: RePEc:eee:jomega:v:86:y:2019:i:c:p:1-15
    DOI: 10.1016/j.omega.2018.05.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030504831731068X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.omega.2018.05.016?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. Marianov, Vladimir & Serra, Daniel & ReVelle, Charles, 1999. "Location of hubs in a competitive environment," European Journal of Operational Research, Elsevier, vol. 114(2), pages 363-371, April.
    2. Serper, Elif Zeynep & Alumur, Sibel A., 2016. "The design of capacitated intermodal hub networks with different vehicle types," Transportation Research Part B: Methodological, Elsevier, vol. 86(C), pages 51-65.
    3. 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.
    4. Wagner, Bernd, 2007. "An exact solution procedure for a Cluster Hub Location Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 39352, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part I---Introduction and Results," Management Science, INFORMS, vol. 51(10), pages 1540-1555, October.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Meraklı, Merve & Yaman, Hande, 2016. "Robust intermodal hub location under polyhedral demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 86(C), pages 66-85.
    11. 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.
    12. Alibeyg, Armaghan & Contreras, Ivan & Fernández, Elena, 2016. "Hub network design problems with profits," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 40-59.
    13. 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.
    14. 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.
    15. 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.
    16. Boland, Natashia & Krishnamoorthy, Mohan & Ernst, Andreas T. & Ebery, Jamie, 2004. "Preprocessing and cutting for multiple allocation hub location problems," European Journal of Operational Research, Elsevier, vol. 155(3), pages 638-653, June.
    17. 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.
    18. 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.
    19. Ivan Contreras & Jean-François Cordeau & Gilbert Laporte, 2011. "The Dynamic Uncapacitated Hub Location Problem," Transportation Science, INFORMS, vol. 45(1), pages 18-32, February.
    20. Peker, Meltem & Kara, Bahar Y., 2015. "The P-Hub maximal covering problem and extensions for gradual decay functions," Omega, Elsevier, vol. 54(C), pages 158-172.
    21. 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.
    22. 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.
    23. Podnar, Hrvoje & Skorin-Kapov, Jadranka & Skorin-Kapov, Darko, 2002. "Network cost minimization using threshold-based discounting," European Journal of Operational Research, Elsevier, vol. 137(2), pages 371-386, March.
    24. Turgut Aykin, 1995. "Networking Policies for Hub-and-Spoke Systems with Application to the Air Transportation System," Transportation Science, INFORMS, vol. 29(3), pages 201-221, August.
    25. Ivan Contreras, 2015. "Hub Location Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 311-344, Springer.
    26. 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.
    27. Sung, C. S. & Jin, H. W., 2001. "Dual-based approach for a hub network design problem under non-restrictive policy," European Journal of Operational Research, Elsevier, vol. 132(1), pages 88-105, July.
    28. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    29. Contreras, Ivan & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Stochastic uncapacitated hub location," European Journal of Operational Research, Elsevier, vol. 212(3), pages 518-528, August.
    30. 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.
    31. Alf Kimms, 2006. "Economies of Scale in Hub & Spoke Network Design Models: We Have It All Wrong," Springer Books, in: Martin Morlock & Christoph Schwindt & Norbert Trautmann & Jürgen Zimmermann (ed.), Perspectives on Operations Research, pages 293-317, Springer.
    32. 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.
    33. 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.
    34. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part II---Formulations and Optimal Algorithms," Management Science, INFORMS, vol. 51(10), pages 1556-1571, October.
    35. Yaman, Hande, 2009. "The hierarchical hub median problem with single assignment," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 643-658, July.
    36. 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.
    37. Chen, Jeng-Fung, 2007. "A hybrid heuristic for the uncapacitated single allocation hub location problem," Omega, Elsevier, vol. 35(2), pages 211-220, April.
    38. Wagner, Bernd, 2007. "An exact solution procedure for a cluster hub location problem," European Journal of Operational Research, Elsevier, vol. 178(2), pages 391-401, April.
    39. Mari'n, Alfredo & Canovas, Lazaro & Landete, Mercedes, 2006. "New formulations for the uncapacitated multiple allocation hub location problem," European Journal of Operational Research, Elsevier, vol. 172(1), pages 274-292, July.
    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. Saldanha-da-Gama, Francisco, 2022. "Facility Location in Logistics and Transportation: An enduring relationship," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    2. Rath, Srushti & Chow, Joseph Y.J., 2022. "Air taxi skyport location problem with single-allocation choice-constrained elastic demand for airport access," Journal of Air Transport Management, Elsevier, vol. 105(C).
    3. Fernández, Elena & Sgalambro, Antonino, 2020. "On carriers collaboration in hub location problems," European Journal of Operational Research, Elsevier, vol. 283(2), pages 476-490.
    4. Basallo-Triana, Mario José & Bravo-Bastidas, Juan José & Contreras, Ivan & Cordeau, Jean-François & Vidal-Holguín, Carlos Julio, 2023. "Intermodal hub network design with generalized capacity constraints and non-synchronized train–truck operations," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    5. Miguel A. Pozo & Justo Puerto & Antonio M. Rodríguez Chía, 2021. "The ordered median tree of hubs location problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 78-105, April.
    6. Rahmati, Reza & Neghabi, Hossein & Bashiri, Mahdi & Salari, Majid, 2023. "Stochastic regional-based profit-maximizing hub location problem: A sustainable overview," Omega, Elsevier, vol. 121(C).
    7. Iacocca, Kathleen & Mahar, Stephen & Daniel Wright, P., 2022. "Strategic horizontal integration for drug cost reduction in the pharmaceutical supply chain," Omega, Elsevier, vol. 108(C).
    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. Xu, Xianhao & Shen, Yaohan & (Amanda) Chen, Wanying & Gong, Yeming & Wang, Hongwei, 2021. "Data-driven decision and analytics of collection and delivery point location problems for online retailers," Omega, Elsevier, vol. 100(C).
    10. Marc Janschekowitz & Gita Taherkhani & Sibel A. Alumur & Stefan Nickel, 2023. "An alternative approach to address uncertainty in hub location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(2), pages 359-393, June.
    11. 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.

    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 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.
    2. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    3. Juanjo Peiró & Ángel Corberán & Rafael Martí & Francisco Saldanha-da-Gama, 2019. "Heuristic Solutions for a Class of Stochastic Uncapacitated p-Hub Median Problems," Transportation Science, INFORMS, vol. 53(4), pages 1126-1149, July.
    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. 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.
    6. 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.
    7. Alibeyg, Armaghan & Contreras, Ivan & Fernández, Elena, 2018. "Exact solution of hub network design problems with profits," European Journal of Operational Research, Elsevier, vol. 266(1), pages 57-71.
    8. 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.
    9. 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.
    10. 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.
    11. Alibeyg, Armaghan & Contreras, Ivan & Fernández, Elena, 2016. "Hub network design problems with profits," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 40-59.
    12. Zhang, Haifeng & Yang, Kai & Gao, Yuan & Yang, Lixing, 2022. "Accelerating Benders decomposition for stochastic incomplete multimodal hub location problem in many-to-many transportation and distribution systems," International Journal of Production Economics, Elsevier, vol. 248(C).
    13. 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.
    14. 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.
    15. Soylu, Banu & Katip, Hatice, 2019. "A multiobjective hub-airport location problem for an airline network design," European Journal of Operational Research, Elsevier, vol. 277(2), pages 412-425.
    16. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François & Nikbakhsh, Ehsan, 2017. "Robust uncapacitated hub location," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 393-410.
    17. 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).
    18. Zheng, Jianfeng & Qi, Jingwen & Sun, Zhuo & Li, Feng, 2018. "Community structure based global hub location problem in liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 1-19.
    19. 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.
    20. Marc Janschekowitz & Gita Taherkhani & Sibel A. Alumur & Stefan Nickel, 2023. "An alternative approach to address uncertainty in hub location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(2), pages 359-393, 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:eee:jomega:v:86:y:2019:i:c:p:1-15. 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/375/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.