EURO Journal on Computational Optimization

, Volume 6, Issue 3, pp 211–238 | Cite as

Robust combinatorial optimization under convex and discrete cost uncertainty

  • Christoph Buchheim
  • Jannis KurtzEmail author
Original Paper


In this survey, we discuss the state of the art of robust combinatorial optimization under uncertain cost functions. We summarize complexity results presented in the literature for various underlying problems, with the aim of pointing out the connections between the different results and approaches, and with a special emphasis on the role of the chosen uncertainty sets. Moreover, we give an overview over exact solution methods for NP-hard cases. While mostly concentrating on the classical concept of strict robustness, we also cover more recent two-stage optimization paradigms.


Robust optimization Uncertainty Combinatorial optimization Two-stage robustness K-Adaptability Complexity 

Mathematics Subject Classification



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© Springer-Verlag GmbH Germany, part of Springer Nature and EURO - The Association of European Operational Research Societies 2018

Authors and Affiliations

  1. 1.Fakultät für MathematikTU Dortmund UniversityDortmundGermany
  2. 2.Lehrstuhl C für Mathematik (Analysis)RWTH Aachen UniversityAachenGermany

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