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A Decomposition Approach for Single Allocation Hub Location Problems with Multiple Capacity Levels

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Combinatorial Optimization (ISCO 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9849))

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Abstract

In this paper we consider an extended version of the classical capacitated single allocation hub location problem in which the size of the hubs must be chosen from a finite and discrete set of allowable capacities. We develop a Lagrangian relaxation approach that exploits the problem structure and decomposes the problem into a set of smaller subproblems that can be solved efficiently. Upper bounds are derived by Lagrangian heuristics followed by a local search method. Moreover, we propose some reduction tests that allow us to decrease the size of the problem. Our computational experiments on some challenging benchmark instances from literature show the advantage of the decomposition approach over commercial solvers.

The first author has been supported by the German Research Foundation (DFG) under grant BU 2313/2.

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Notes

  1. 1.

    http://people.brunel.ac.uk/~mastjjb/jeb/orlib/phubinfo.html.

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Authors and Affiliations

  1. Fakultät für Mathematik, TU Dortmund, Dortmund, Germany

    Borzou Rostami, Christopher Strothmann & Christoph Buchheim

Authors
  1. Borzou Rostami
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  2. Christopher Strothmann
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  3. Christoph Buchheim
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Corresponding author

Correspondence to Borzou Rostami .

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Editors and Affiliations

  1. University of Salerno , Fisciano, Italy

    Raffaele Cerulli

  2. Kyoto University , Kyoto, Japan

    Satoru Fujishige

  3. LAMSADE, Université Paris-Dauphine , Paris , France

    A. Ridha Mahjoub

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Rostami, B., Strothmann, C., Buchheim, C. (2016). A Decomposition Approach for Single Allocation Hub Location Problems with Multiple Capacity Levels. In: Cerulli, R., Fujishige, S., Mahjoub, A. (eds) Combinatorial Optimization. ISCO 2016. Lecture Notes in Computer Science(), vol 9849. Springer, Cham. https://doi.org/10.1007/978-3-319-45587-7_21

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  • DOI: https://doi.org/10.1007/978-3-319-45587-7_21

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  • Online ISBN: 978-3-319-45587-7

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