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2-Stage stochastic programming approach for hub location problem under uncertainty: A case study of air network of Iran

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  • Adibi, Ali
  • Razmi, Jafar

Abstract

In this paper 2-stage stochastic programming has been developed for formulating stochastic uncapacitated multiple allocation hub location problem. This problem is studied under three cases. The first, stochastic demand, the second, stochastic transportation cost and the third, integrated stochastic, which is compounded of first and second cases. A case of air network in Iran is used to evaluate proposed formulations and computational results obtained by GAMS are presented. The results show that considering uncertainty into formulation could cause in different solutions.

Suggested Citation

  • Adibi, Ali & Razmi, Jafar, 2015. "2-Stage stochastic programming approach for hub location problem under uncertainty: A case study of air network of Iran," Journal of Air Transport Management, Elsevier, vol. 47(C), pages 172-178.
  • Handle: RePEc:eee:jaitra:v:47:y:2015:i:c:p:172-178
    DOI: 10.1016/j.jairtraman.2015.06.001
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    References listed on IDEAS

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    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. Turgut Aykin, 1988. "On the Location of Hub Facilities," Transportation Science, INFORMS, vol. 22(2), pages 155-157, May.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Costa, Tiago F.G. & Lohmann, Gui & Oliveira, Alessandro V.M., 2010. "A model to identify airport hubs and their importance to tourism in Brazil," Research in Transportation Economics, Elsevier, vol. 26(1), pages 3-11.
    8. A. J. Goldman, 1971. "Optimal Center Location in Simple Networks," Transportation Science, INFORMS, vol. 5(2), pages 212-221, May.
    9. 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.
    10. O'kelly, Morton E., 1987. "A quadratic integer program for the location of interacting hub facilities," European Journal of Operational Research, Elsevier, vol. 32(3), pages 393-404, December.
    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.
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    Cited by:

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    2. Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.
    3. Hu, Qing-Mi & Hu, Shaolong & Wang, Jian & Li, Xiaoping, 2021. "Stochastic single allocation hub location problems with balanced utilization of hub capacities," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 204-227.
    4. Madani, Seyed Reza & Shahandeh Nookabadi, Ali & Hejazi, Seyed Reza, 2018. "A bi-objective, reliable single allocation p-hub maximal covering location problem: Mathematical formulation and solution approach," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 118-136.

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