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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v40.i12.30
pages 27-42

Solution and Investigation of Vector Problems of Combinatorial Optimization on a Set of Polypermutations

Natalya V. Semenova
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Lyudmila N. Kolechkina
University of Lodz, Lodz (Poland)
Alla N. Nagornaya
National University of "Kyiv-Mohyla Academy", Kiev

ABSTRACT

We investigated complicated vector problems on combinatorial set of polypermutations. Some properties of accessible region of the combinatorial multicriterion problem, which is solved in arithmetic Euclidian space, were studied. We obtained necessary and sufficient conditions of optimality of different types of efficient solutions. The method for search of Pareto-optimal solutions of the considered class of problems was constructed.


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