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2014 | OriginalPaper | Chapter

Recoverable Robust Combinatorial Optimization Problems

Authors : Adam Kasperski, Adam Kurpisz, Paweł Zieliński

Published in: Operations Research Proceedings 2012

Publisher: Springer International Publishing

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Abstract

This paper deals with two Recoverable Robust (RR) models for combinatorial optimization problems with uncertain costs. These models were originally proposed by Büsing (2012) for the shortest path problem with uncertain costs. In this paper, we generalize the RR models to a class of combinatorial optimization problems with uncertain costs and provide new positive and negative complexity results in this area.

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Literature
1.
go back to reference Aissi, H., Bazgan, C., Vanderpooten, D.: Complexity of the min-max (regret) versions of cut problems. In: ISAAC 2005, Lecture Notes in Computer Science, vol. 3827, pp. 789–798. Springer-Verlag (2005). Aissi, H., Bazgan, C., Vanderpooten, D.: Complexity of the min-max (regret) versions of cut problems. In: ISAAC 2005, Lecture Notes in Computer Science, vol. 3827, pp. 789–798. Springer-Verlag (2005).
2.
go back to reference Aissi, H., Bazgan, C., Vanderpooten, D.: Complexity of the min-max and min-max regret assignment problems. Operation Research Letters 33, 634–640 (2005)CrossRef Aissi, H., Bazgan, C., Vanderpooten, D.: Complexity of the min-max and min-max regret assignment problems. Operation Research Letters 33, 634–640 (2005)CrossRef
3.
go back to reference Averbakh, I.: On the complexity of a class of combinatorial optimization problems with uncertainty. Mathematical Programming 90, 263–272 (2001)CrossRef Averbakh, I.: On the complexity of a class of combinatorial optimization problems with uncertainty. Mathematical Programming 90, 263–272 (2001)CrossRef
4.
go back to reference Büsing, C.: Recoverable robust shortest path problems. Networks 59, 181–189 (2012)CrossRef Büsing, C.: Recoverable robust shortest path problems. Networks 59, 181–189 (2012)CrossRef
5.
go back to reference Garey, M.R., Johnson, D.S.: Computers and Intractability. A Guide to the Theory of NP-Completeness. W. H, Freeman and Company (1979) Garey, M.R., Johnson, D.S.: Computers and Intractability. A Guide to the Theory of NP-Completeness. W. H, Freeman and Company (1979)
6.
go back to reference Kasperski, A., Zieliński, P.: On the approximability of minmax (regret) network optimization problems. Information Processing Letters 109, 262–266 (2009)CrossRef Kasperski, A., Zieliński, P.: On the approximability of minmax (regret) network optimization problems. Information Processing Letters 109, 262–266 (2009)CrossRef
7.
go back to reference Kasperski, A., Zieliński, P.: On the approximability of robust spanning tree problems. Theoretical Computer Science 412, 365–374 (2011)CrossRef Kasperski, A., Zieliński, P.: On the approximability of robust spanning tree problems. Theoretical Computer Science 412, 365–374 (2011)CrossRef
8.
go back to reference Kasperski, A., Kurpisz, A., Zieliński, P.: Approximating the minmax (regret) selecting items problem. Information Processing Letters 113, 23–29 (2013)CrossRef Kasperski, A., Kurpisz, A., Zieliński, P.: Approximating the minmax (regret) selecting items problem. Information Processing Letters 113, 23–29 (2013)CrossRef
9.
go back to reference Kouvelis, P., Yu, G.: Robust Discrete Optimization and its applications. Kluwer Academic Publishers (1997). Kouvelis, P., Yu, G.: Robust Discrete Optimization and its applications. Kluwer Academic Publishers (1997).
Metadata
Title
Recoverable Robust Combinatorial Optimization Problems
Authors
Adam Kasperski
Adam Kurpisz
Paweł Zieliński
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-00795-3_22