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Solving multi-period interdiction via generalized Bender’s decomposition

Acta Mathematicae Applicatae Sinica, English Series volume 33, pages 633–644 (2017)Cite this article

Abstract

This paper considers a novel formulation of the multi-period network interdiction problem. In this model, delivery of the maximum flow as well as the act of interdiction happens over several periods, while the budget of resource for interdiction is limit. It is assumed that when an edge is interdicted in a period, the evader considers a rate of risk of detection at consequent periods. Application of the generalized Benders decomposition algorithm considers solving the resulting mixed-integer nonlinear programming problem. Computational experiences denote reasonable consistency with expectations.

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Acknowledgements

The authors would like to thank Azarbaijan Shahid Madani University for supporting this paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

    Maryam Soleimani-Alyar & Alireza Ghaffari-Hadigheh

Authors
  1. Maryam Soleimani-Alyar
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  2. Alireza Ghaffari-Hadigheh
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Correspondence to Maryam Soleimani-Alyar.

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Supported by Azarbaijan Shahid Madani University.

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Soleimani-Alyar, M., Ghaffari-Hadigheh, A. Solving multi-period interdiction via generalized Bender’s decomposition. Acta Math. Appl. Sin. Engl. Ser. 33, 633–644 (2017). https://doi.org/10.1007/s10255-017-0687-9

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  • DOI: https://doi.org/10.1007/s10255-017-0687-9

Keywords

  • Bi-level programming
  • network interdiction
  • mixed-integer nonlinear programming
  • generalized benders decomposition

2000 MR Subject Classification

  • 90B10