id: 02230148 dt: j an: 02230148 au: Emets, O.A.; Barbolina, T.N. ti: Solution of Euclidean combinatorial optimization problems by the method of construction of a lexicographic equivalence. so: Cybern. Syst. Anal. 40, No. 5, 726-734 (2004); translation from Kibern. Sist. Anal. 2004, No. 5, 155-125 (2004). py: 2004 pu: Springer (Consultants Bureau), New York, NY la: EN cc: ut: multiset; Euclidean optimization problem; lexicographic exhaustive search ci: li: doi:10.1007/s10559-005-0010-2 ab: Summary: 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. rv: