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Zbl 0964.90025
Ben-Tal, Aharon; Nemirovski, Arkadi
Robust solutions of linear programming problems contaminated with uncertain data.
(English)
[J] Math. Program. 88, No.3 (A), 411-424 (2000). ISSN 0025-5610; ISSN 1436-4646/e

The paper deals with the following problem: How much the optimal solution to the nominal problem can violate the constraints of the perturbed problem. The authors describe a methodology for quantifying the level to which data perturbations may affect the quality of a feasible solution to a LP program and present the associated results for the NETLIB problems. Also, they explain how the Robust Optimization methodology can be used to immune solutions against data perturbations and discuss the results of this immunization for the NETLIB problems.
[I.M.Stancu-Minasian (Bucureşti)]
MSC 2000:
*90C05 Linear programming

Keywords: robust optimization methodology; LP program; NETLIB problems

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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