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A multiobjective hub-airport location problem for an airline network design

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  • Soylu, Banu
  • Katip, Hatice

Abstract

This paper presents a biobjective multiple allocation p-hub median problem, discusses the properties of the Pareto frontier and proposes exact and heuristic algorithms for finding the Pareto frontier. Our motivation emanates from airline networks and their new hub investment strategies. The first objective minimizes the total transportation cost of the network, while the second one minimizes 2-stop journeys in order to improve customer satisfaction, which is negatively affected by the multiple-transit routes of airlines. Although using hubs reduces operating costs in networks, a cost-effective hub network may not imply minimum individual travel times for passengers, or happy passengers. It is well-known that airline customers prefer flights with fewer stops. However, reducing 2-stop routes increases the number of arcs, non-stop and 1-stop routes, and thus the total cost in the network. We analyzed the tradeoff between these objective functions. We performed experiments on well-known data sets from the literature. We were able to find the Pareto frontier exactly for small/medium size instances. A variable neighborhood search (VNS) heuristic is presented to approximate the Pareto frontier of large size instances. We also performed an application on the current Turkish aeronautics network. The results are presented and discussed.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:277:y:2019:i:2:p:412-425
    DOI: 10.1016/j.ejor.2019.02.056
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    1. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    2. Abraham Duarte & Juan Pantrigo & Eduardo Pardo & Nenad Mladenovic, 2015. "Multi-objective variable neighborhood search: an application to combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 63(3), pages 515-536, November.
    3. Murat Köksalan & Banu Soylu, 2010. "Bicriteria p -Hub Location Problems and Evolutionary Algorithms," INFORMS Journal on Computing, INFORMS, vol. 22(4), pages 528-542, November.
    4. Mahmutogullari, Ali Irfan & Kara, Bahar Y., 2016. "Hub location under competition," European Journal of Operational Research, Elsevier, vol. 250(1), pages 214-225.
    5. García, Sergio & Landete, Mercedes & Marín, Alfredo, 2012. "New formulation and a branch-and-cut algorithm for the multiple allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 220(1), pages 48-57.
    6. 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.
    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. 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.
    9. 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).
    10. Soylu, Banu, 2015. "Heuristic approaches for biobjective mixed 0–1 integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 245(3), pages 690-703.
    11. 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.
    12. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    13. 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.
    14. 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.
    15. Ilic, Aleksandar & Urosevic, Dragan & Brimberg, Jack & Mladenovic, Nenad, 2010. "A general variable neighborhood search for solving the uncapacitated single allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 206(2), pages 289-300, October.
    16. 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.
    17. Selim Çetiner & Canan Sepil & Haldun Süral, 2010. "Hubbing and routing in postal delivery systems," Annals of Operations Research, Springer, vol. 181(1), pages 109-124, December.
    18. Morton E. O'Kelly, 1986. "The Location of Interacting Hub Facilities," Transportation Science, INFORMS, vol. 20(2), pages 92-106, May.
    19. 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.
    20. 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.
    21. Soylu, Banu, 2018. "The search-and-remove algorithm for biobjective mixed-integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 268(1), pages 281-299.
    22. Natashia Boland & Hadi Charkhgard & Martin Savelsbergh, 2015. "A Criterion Space Search Algorithm for Biobjective Integer Programming: The Balanced Box Method," INFORMS Journal on Computing, INFORMS, vol. 27(4), pages 735-754, November.
    23. 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.
    24. Natashia Boland & Hadi Charkhgard & Martin Savelsbergh, 2015. "A Criterion Space Search Algorithm for Biobjective Mixed Integer Programming: The Triangle Splitting Method," INFORMS Journal on Computing, INFORMS, vol. 27(4), pages 597-618, November.
    25. A. T. Ernst & M. Krishnamoorthy, 1998. "An Exact Solution Approach Based on Shortest-Paths for p -Hub Median Problems," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 149-162, May.
    26. 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.
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