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Maximum dynamic network flow interdiction problem: New formulation and solution procedures
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DOI：10.1016/j.cie.2013.04.014.png)
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Abstract
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We consider the dynamic version of the maximum flow network interdiction problem; that is, we assume a positive number is assigned to each arc which indicates the traversal time of the flow through that arc. We also assume that an intruder uses a single resource with limited budget to interrupt the flow of a single commodity through the network within a given time limit of T. A new formulation based on the concept of Temporally Repeated Flow (TRF) is presented. The problem is then solved using Benders' decomposition. Another solution method, based on the most vital arcs in a network is also discussed. Finally, some computational results are reported. (C) 2013 Elsevier Ltd. All rights reserved.
Keywords:
Maximum dynamic flow
Network interdiction
Temporally repeated flows
Benders' decomposition
Vital arc
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