On solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraints

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dc.citation.conferenceLitteris et Artibus
dc.contributor.affiliationOles Honchar Dnipropetrovsk National Universityuk_UA
dc.contributor.authorCherevatenko, Antonina
dc.coverage.countryUAuk_UA
dc.coverage.placenameLvivuk_UA
dc.date.accessioned2018-03-01T12:56:39Z
dc.date.available2018-03-01T12:56:39Z
dc.date.issued2015
dc.description.abstractThe paper presents some properties of the solutions of continuous problems of optimal multiplex-partitioning of sets. Such problems are considered in two versions: with given coordinates of centers or with their placing in a given region. The optimal solutions of continuous linear problems of optimal multiplex-partitioning of sets is obtained analytically as characteristic vector-functions of the k-th order subsets included into the optimal multiplex partition of the set Ω.uk_UA
dc.format.pages22-25
dc.identifier.citationCherevatenko A. On solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraints / Antonina Cherevatenko // Litteris et Artibus : proceedings of the 5th International youth science forum, November 26–28, 2015, Lviv, Ukraine / Lviv Polytechnic National University. – Lviv : Lviv Polytechnic Publishing House, 2015. – P. 22–25. – Bibliography: 5 titles.uk_UA
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/39485
dc.language.isoenuk_UA
dc.publisherLviv Polytechnic Publishing Houseuk_UA
dc.relation.referencesen[1] L. S. Koriashkina, "Extension of one class of infinitedimensional optimization problems", Cherkasy University Bulletin: Scientific journal. Applied mathematics. Informatics (in Ukrainian), vol. 18 (351), 2015, pp. 28 – 36. [2] E. M. Kiseleva, L. S. Koriashkina, "Models and Methods for Solving Continuous Problems of Optimal Set Partitioning: Linear, Nonlinear, and Dynamic Problems" (in Russian), Naukova Dumka, 2013, 606 pp. [3] F. P. Preparata, M. I. Shamos, "Computational Geometry: An Introduction (Texts and Monographs in Computer Science)", Springer-Verlag New York, 1985, 390 pp. [4] E. M. Kiseleva, L. S. Koriashkina, "Theory of Continuous Optimal Set Partitioning Problems as a Universal Mathematical Formalism for Constructing Voronoi Diagrams and Their Generalizations. I. Theoretical Foundations", Cybernetics and Systems Analysis, Vol. 3 (51), May 2015, pp. 325 – 335. [5] E. M. Kiseleva, L. S. Koriashkina, "The Theory of Continuous Optimal Set Partitioning Problems as a Universal Mathematical Formalism for Constructing the Voronoi Diagram and its Generalizations. II. Algorithms for constructing Voronoi Diagrams based on the theory of optimal partitioning of sets", Cybernetics and Systems Analysis, Vol. 4 (51), May 2015, pp. 489 – 499.uk_UA
dc.subjectsets partitioning of the k-th orderuk_UA
dc.subjectoptimal multiplex-partitioning of setuk_UA
dc.subjectcontinuous problems of optimal sets partitioninguk_UA
dc.subjectVoronoi diagrams of the k -th orderuk_UA
dc.titleOn solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraintsuk_UA
dc.typeConference Abstractuk_UA

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Litteris et Artibus. – 2015 р.