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The Bicriterion Maximum Flow Network Interdiction Problem in s-t-Planar Graphs

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Abstract

A biobjective extension of the maximum flow network interdiction problem is considered: Two maximum flows from source to sink are to be computed independently from each other while an interdictor aims to reduce the value of both maximum flows simultaneously by interdicting arcs. We show that this problem is intractable and propose two procedures to solve this problem on specific graph classes.

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Acknowledgements

This work was partially supported by the Bundesministerium für Bildung und Forschung (BMBF) under Grant No. 13N14561.

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Correspondence to Luca E. Schäfer .

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Schäfer, L.E., Dietz, T., Natale, M.V., Ruzika, S., Krumke, S.O., Fonseca, C.M. (2020). The Bicriterion Maximum Flow Network Interdiction Problem in s-t-Planar Graphs. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds) Operations Research Proceedings 2019. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-48439-2_16

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