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General variable neighborhood search for the uncapacitated single allocation p-hub center problem

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Abstract

In this paper we propose a general variable neighborhood search heuristic for solving the uncapacitated single allocation p-hub center problem (USApHCP). For the local search step we develop a nested variable neighborhood descent strategy. The proposed approach is tested on benchmark instances from the literature and found to outperform the state-of-the-art heuristic based on ant colony optimization. We also test our heuristic on large scale instances that were not previously considered as test instances for the USApHCP. Moreover, exact solutions were reached by our GVNS for all instances where optimal solutions are known.

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Acknowledgments

This work was conducted in part at the National Research University Higher School of Economics, Nizhni Novgorod, Russia and supported by RSF 14-41-00039. This research has also been supported in part by a Natural Sciences and Engineering Research Council of Canada Discovery Grant (NSERC #205041-2014)

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, The Royal Military College of Canada, Kingston, ON, Canada

    Jack Brimberg

  2. LAMIH, UVHC, Le Mont Houy Valenciennes, Cedex 9, Famars, France

    Nenad Mladenović & Raca Todosijević

  3. Mathematical Institute, Serbian Academy of Science and Arts, Belgrade, Serbia

    Nenad Mladenović, Raca Todosijević & Dragan Urošević

Authors
  1. Jack Brimberg
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  2. Nenad Mladenović
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  3. Raca Todosijević
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  4. Dragan Urošević
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Correspondence to Raca Todosijević.

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Brimberg, J., Mladenović, N., Todosijević, R. et al. General variable neighborhood search for the uncapacitated single allocation p-hub center problem. Optim Lett 11, 377–388 (2017). https://doi.org/10.1007/s11590-016-1004-x

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  • DOI: https://doi.org/10.1007/s11590-016-1004-x

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