Stochastic Network Interdiction

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

Abstract

We describe discrete stochastic network interdiction of shortest-path, and maximum-reliability-path, networks. A nested “max–min” model is reformulated using duality and, if necessary, an equivalent penalty-based model. The resulting mixed-integer program is then amenable to solution by standard solvers. Special-purpose decomposition algorithms, and accompanying valid inequalities, are also developed, which permit solution of larger scale problem instances. Throughout the article, we point to important models that arise when key assumptions in our formulations are modified.
Original languageEnglish
Title of host publicationWiley Encyclopedia of Operations Research and Management Science
EditorsJames J Cochran, Louis Anthony Cox, Jr, Pinar Keskinocak , Jeffrey P Kharoufeh, J Cole Smith
PublisherJohn Wiley & Sons
ISBN (Print)978-0470400630
DOIs
StatePublished - Feb 15 2011

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