On solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraints
Електронний науковий архів Науково-технічної бібліотеки Національного університету "Львівська політехніка"
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraints
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| Creator |
Cherevatenko, Antonina
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| Contributor |
Oles Honchar Dnipropetrovsk National University
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| Subject |
sets partitioning of the k-th order
optimal multiplex-partitioning of set continuous problems of optimal sets partitioning Voronoi diagrams of the k -th order |
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| Description |
The 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. |
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| Date |
2018-03-01T12:56:39Z
2018-03-01T12:56:39Z 2015 |
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| Type |
Conference Abstract
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| Identifier |
Cherevatenko 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.
http://ena.lp.edu.ua:8080/handle/ntb/39485 |
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| Language |
en
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| Relation |
[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.
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| Format |
22-25
application/pdf |
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| Coverage |
UA
Lviv |
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| Publisher |
Lviv Polytechnic Publishing House
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