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  4. A Dynamic Network Interdiction Problem

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A Dynamic Network Interdiction Problem
Volume 21, Issue 4 (2010), pp. 553–574
Brian J. Lunday   Hanif D. Sherali  

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https://doi.org/10.15388/Informatica.2010.305
Pub. online: 1 January 2010      Type: Research Article     

Received
1 February 2010
Accepted
1 July 2010
Published
1 January 2010

Abstract

We present a novel dynamic network interdiction model that accounts for interactions between an interdictor deploying resources on arcs in a digraph and an evader traversing the network from a designated source to a known terminus, wherein the agents may modify strategies in selected subsequent periods according to respective decision and implementation cycles. For the resulting minimax model, we develop a reformulation that facilitates a direct solution procedure using commercial software or via a proposed alternating heuristic. We examine certain related stability and convergence issues, demonstrate special convergence cases, and provide insights into the computational performance of the solution procedures.

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Keywords
network interdiction resource allocation minimax flow problems dynamic formulation alternating heuristic

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INFORMATICA

  • Online ISSN: 1822-8844
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