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A polyhedral approach to solving multicriterion combinatorial optimization problems over sets of polyarrangements
Authors:N V Semenova  L N Kolechkina
Affiliation:(1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
Abstract:Multicriterion discrete optimization problems over feasible combinatorial sets of polyarrangements are considered. Structural properties of feasible domains and different types of efficient solutions are investigated. Based on the ideas of Euclidean combinatorial optimization and the major criterion method, a polyhedral approach to the solution of the problems is developed and substantiated. Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 118-126, May-June 2009.
Keywords:multicriterion optimization  discrete optimization  combinatorial sets  polyarrangements  Pareto-optimal solutions  weakly and strongly efficient solutions
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