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Robust hub network design problem

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  • Shahabi, Mehrdad
  • Unnikrishnan, Avinash

Abstract

This paper presents a robust formulation for the uncapacitated single and multiple allocation hub location problem where demand is uncertain and its distribution is not fully specified. The proposed robust model is formulated as a mixed integer nonlinear program and then transformed into a mixed integer conic quadratic program. An efficient linear relaxation strategy is proposed which is found to deliver the optimal solutions for all the cases considered in this paper. Numerical experiments suggest location of more number of hubs when accounting for demand uncertainty using robust optimization compared to the deterministic setting.

Suggested Citation

  • Shahabi, Mehrdad & Unnikrishnan, Avinash, 2014. "Robust hub network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 356-373.
    • Handle: RePEc:eee:transe:v:70:y:2014:i:c:p:356-373
    DOI: 10.1016/j.tre.2014.08.003
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    7. 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).
    8. 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.
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    12. Rostami, Borzou & Kämmerling, Nicolas & Naoum-Sawaya, Joe & Buchheim, Christoph & Clausen, Uwe, 2021. "Stochastic single-allocation hub location," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1087-1106.
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