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Author Lagos, G.; Espinoza, D.; Moreno, E.; Vielma, J.P.
Title Restricted risk measures and robust optimization Type
Year 2015 Publication European Journal Of Operational Research Abbreviated Journal Eur. J. Oper. Res.
Volume (down) 241 Issue 3 Pages 771-782
Keywords Risk management; Stochastic programming; Uncertainty modeling
Abstract In this paper we consider characterizations of the robust uncertainty sets associated with coherent and distortion risk measures. In this context we show that if we are willing to enforce the coherent or distortion axioms only on random variables that are affine or linear functions of the vector of random parameters, we may consider some new variants of the uncertainty sets determined by the classical characterizations. We also show that in the finite probability case these variants are simple transformations of the classical sets. Finally we present results of computational experiments that suggest that the risk measures associated with these new uncertainty sets can help mitigate estimation errors of the Conditional Value-at-Risk. (C) 2014 Elsevier B.V. All rights reserved.
Address [Lagos, Guido] Georgia Inst Technol, H Milton Stewart Sch Ind & Syst Engn, Atlanta, GA 30332 USA, Email: glagos@gatech.edu;
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0377-2217 ISBN Medium
Area Expedition Conference
Notes WOS:000347605100018 Approved
Call Number UAI @ eduardo.moreno @ Serial 438
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Author Freire, A.S.; Moreno, E.; Vielma, J.P.
Title An integer linear programming approach for bilinear integer programming Type
Year 2012 Publication Operations Research Letters Abbreviated Journal Oper. Res. Lett.
Volume (down) 40 Issue 2 Pages 74-77
Keywords Bilinear programming; Integer linear programming; Product bundling
Abstract We introduce a new Integer Linear Programming (ILP) approach for solving Integer Programming (IP) problems with bilinear objectives and linear constraints. The approach relies on a series of ILP approximations of the bilinear P. We compare this approach with standard linearization techniques on random instances and a set of real-world product bundling problems. (C) 2011 Elsevier B.V. All rights reserved.
Address [Moreno, Eduardo] Univ Adolfo Ibanez, Fac Sci & Engn, Santiago, Chile, Email: afreire@ime.usp.br
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0167-6377 ISBN Medium
Area Expedition Conference
Notes WOS:000301331700002 Approved
Call Number UAI @ eduardo.moreno @ Serial 201
Permanent link to this record