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Type: Artigo de periódico
Title: Solving multiple-objective problems in the objective space
Author: Ferreira, PAV
Machado, MES
Abstract: Projection and relaxation techniques are employed to decompose a multiobjective problem into a two-level structure. The basic manipulation consists in projecting the decision variables onto the space of the implicit tradeoffs, allowing the definition of a relaxed multiobjective master problem directly in the objective space. An additional sub-problem tests the feasibility of the solution encountered by the relaxed problem. Some properties of the relaxed problem (linearity, small number of variables, etc.) render its solution efficient by a number of methods. Representatives of two different classes of multiobjective methods [the Geoffrion, Dyer, Feinberg (GDF) method and the fuzzy method of Baptistella and Ollero] are implemented and applied within this context to a water resources allocation problem. The results attest the computational viability of the overall procedure and its usefulness for the solution of multiobjective problems.
Subject: multiobjective optimization
convex programming
decision theory
fuzzy sets theory
water resources allocation
Editor: Plenum Publ Corp
Rights: fechado
Identifier DOI: 10.1007/BF02275354
Date Issue: 1996
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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