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

In: Operations Research Proceedings 2019

Author

Listed:
  • Luca E. Schäfer

    (Technische Universität Kaiserslautern)

  • Tobias Dietz

    (Technische Universität Kaiserslautern)

  • Marco V. Natale

    (Technische Universität Kaiserslautern)

  • Stefan Ruzika

    (Technische Universität Kaiserslautern)

  • Sven O. Krumke

    (Technische Universität Kaiserslautern)

  • Carlos M. Fonseca

    (University of Coimbra)

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.

Suggested Citation

  • Luca E. Schäfer & Tobias Dietz & Marco V. Natale & Stefan Ruzika & Sven O. Krumke & Carlos M. Fonseca, 2020. "The Bicriterion Maximum Flow Network Interdiction Problem in s-t-Planar Graphs," Operations Research Proceedings, in: Janis S. Neufeld & Udo Buscher & Rainer Lasch & Dominik Möst & Jörn Schönberger (ed.), Operations Research Proceedings 2019, pages 133-139, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-48439-2_16
    DOI: 10.1007/978-3-030-48439-2_16
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