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Easy distributions for combinatorial optimization problems with probabilistic constraints

Authors :
Bernard Fortz
Michael Poss
Graphes et Optimisation Mathématique [Bruxelles] (GOM)
Université libre de Bruxelles (ULB)
Heuristique et Diagnostic des Systèmes Complexes [Compiègne] (Heudiasyc)
Université de Technologie de Compiègne (UTC)-Centre National de la Recherche Scientifique (CNRS)
Fortz, Bernard
Source :
Operations Research Letters, Operations Research Letters, Elsevier, 2010, 38, pp.545-549
Publication Year :
2010
Publisher :
HAL CCSD, 2010.

Abstract

SCOPUS: ar.j; International audience; We show how we can linearize individual probabilistic linear constraints with binary variables when all coefficients are independently distributed according to either N(μi,λμi), for some λ>0 and μi>0, or Γ(ki,θ) for some θ>0 and ki>0. The constraint can also be linearized when the coefficients are independent and identically distributed and either positive or strictly stable random variables. © 2010 Elsevier B.V. All rights reserved.

Details

Language :
English
ISSN :
01676377
Database :
OpenAIRE
Journal :
Operations Research Letters, Operations Research Letters, Elsevier, 2010, 38, pp.545-549
Accession number :
edsair.doi.dedup.....f2d015a62391be267bb3ea2f75ecf3eb