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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.85
L. Koliechkina1, A. Nahirna2


1 University of Lodz, Lodz, Poland

lkoliechkina@gmail.com; liudmyla.koliechkina@wmii.uni.lodz.pl

2 National University of Kyiv-Mohyla Academy, Kyiv, Ukraine

naghirnaalla@ukr.net

SOLUTIONS OF THE COMBINATOR PROBLEM WITH A FRACTIONAL-QUADRATIC
OBJECTIVE FUNCTION ON THE SET OF PERMUTATIONS

Abstract. The statement of the problem with fractional-quadratic objective function on the set of permutations is considered. An algorithm for its solution is presented, which converts the fractional-quadratic function into a system of two functionals. The solution of these functionals ensures finding the optimal solution to the problem. The results of computational experiments are presented.

Keywords: conditional optimization, fractional-quadratic function, many permutations, transposition of elements, set of feasible solutions, set of support solutions, optimal solution.



FULL TEXT

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