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Solving multi-period interdiction via generalized Bender’s decomposition

  • Maryam Soleimani-AlyarEmail author
  • Alireza Ghaffari-Hadigheh
Article
  • 53 Downloads

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.

Keywords

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

2000 MR Subject Classification

90B10 

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Notes

Acknowledgements

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

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Copyright information

© Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Maryam Soleimani-Alyar
    • 1
    Email author
  • Alireza Ghaffari-Hadigheh
    • 1
  1. 1.Department of Applied MathematicsAzarbaijan Shahid Madani UniversityTabrizIran

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