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Approximating Combinatorial Optimization Problems with Uncertain Costs and the OWA Criterion

In: Operations Research Proceedings 2012

Author

Listed:
  • Adam Kasperski

    (Wrocław University of Technology)

  • Paweł Zieliński

    (Wrocław University of Technology)

Abstract

In this paper a class combinatorial optimization problems with uncertain costs is discussed. This uncertainty is modeled by specifying a scenario set containing K distinct cost vectors. In order to choose a solution the Ordered Weighted Averaging aggregation operator (OWA) is used. For most classical problems, for example network problems, minimizing OWA is NP-hard even for two scenarios. In this paper some positive and negative approximation results for the problem are shown.

Suggested Citation

  • Adam Kasperski & Paweł Zieliński, 2014. "Approximating Combinatorial Optimization Problems with Uncertain Costs and the OWA Criterion," Operations Research Proceedings, in: Stefan Helber & Michael Breitner & Daniel Rösch & Cornelia Schön & Johann-Matthias Graf von der Schu (ed.), Operations Research Proceedings 2012, edition 127, pages 141-146, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-00795-3_21
    DOI: 10.1007/978-3-319-00795-3_21
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