A New Approach to a Multicriteria Optimization Problem |
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Authors: | Wilfredo Sosa Fernanda MP Raupp |
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Institution: | 1. Instituto de Matemática e Ciencias Afines, Universidad Nacional de Ingenieria, Peru 2. Laboratório Nacional de Computa??o Científica, MCT, Brazil
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Abstract: | We present a new approach to a multicriteria optimization problem, where the objective and the constraints are linear functions. From an equivalent equilibrium problem, first suggested in 5,6,8], we show new characterizations of weakly efficient points based on the partial order induced by a nonempty closed convex cone in a finite-dimensional linear space, as in 7]. Thus, we are able to apply the analytic center cutting plane algorithm that finds equilibrium points approximately, by Raupp and Sosa 10], in order to find approximate weakly efficient solutions of MOP. |
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