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Maria Afsharirad

Abstract

We consider the maximum flow network interdiction problem. We provide a new interpretation of the problem and define a concept called ”optimalcut”. We propose a heuristic algorithm to obtain an approximated cut, and we also obtain its error bound. Finally, we show that our heuristic is an α-approximation algorithm for a class of networks. By implementing it on three network types, we show the advantage of it over solving the model by CPLEX.

Article Details

Keywords

Interdiction;, Approximation algorithm;, Network flow;, Minimum capacity cut.

References
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How to Cite
AfshariradM. (2020). Approximation algorithm for maximum flow network interdiction problem. Iranian Journal of Numerical Analysis and Optimization, 10(1), 1-18. https://doi.org/10.22067/ijnao.v10i1.75392
Section
Research Article