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Solution of Euclidean combinatorial optimization problems by the method of construction of a lexicographic equivalence
Authors:O A Yemets  T N Barbolina
Affiliation:(1) Yu. Kondratuyk Technical University, Poltava, Ukraine;(2) V. G. Korolenko Pedagogical University, Poltava, Ukraine
Abstract:A method of space partition based on an equivalence relation is considered. Based on a lexicographic exhaustive search for equivalence classes, algorithms are developed for solution of a new class of optimization problems, namely, linear conditional Euclidean problems of lexicographic combinatorial optimization.Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 155–125, September–October 2004.
Keywords:multiset  Euclidean optimization problem  lexicographic exhaustive search
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