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Journal of Automation and Information Sciences

Выходит 12 номеров в год

ISSN Печать: 1064-2315

ISSN Онлайн: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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The Emergence and Formation of the Theory of Optimal Set Partitioning for Sets of the n Dimensional Euclidean Space. Theory and Application

Том 50, Выпуск 9, 2018, pp. 1-24
DOI: 10.1615/JAutomatInfScien.v50.i9.10
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Краткое описание

The history of emergence and formation, the structure and main results of the theory of optimal set partitioning which was developed during the previous fifty years by the author and her students are presented. The examples of OSP application to the variety of essentially different theoretical optimization problems that can be interpreted mathematically as continuous optimal set partitioning problems are described. The real-world applications of the theory are illustrated by the example of solving the generalized location–allocation problem. The future directions of the optimal set partitioning theory are discussed.

ЦИТИРОВАНО В
  1. Komyak Valentina, Sobol Oleksandr, Kartashov Oleksii, Yakovleva Iryna, Komyak Vladimir, Danilin Alexander, Lyashevskaya Olena, Computer simulation of the partitioning by mutually orthogonal lines, 2019 IEEE 15th International Conference on the Experience of Designing and Application of CAD Systems (CADSM), 2019. Crossref

  2. Kiseleva Å. Ì., Prytomanova O. M., Us S. A., Solving a Two-Stage Continuous-Discrete Problem of Optimal Partition–Allocation with a Given Position of the Centers of Subsets, Cybernetics and Systems Analysis, 56, 1, 2020. Crossref

  3. Kiseleva Olena, Prytomanova Olga, Serhieiev Oleksii, An Algorithm for Solving the Optimal Set Partitioning Problem with Constraints on the Centers Location, 2020 IEEE 2nd International Conference on System Analysis & Intelligent Computing (SAIC), 2020. Crossref

  4. Kiseleva Elena, Prytomanova Olga, Padalko Vadim, An Algorithm for Constructing Additive and Multiplicative Voronoi Diagrams Under Uncertainty, in Lecture Notes in Computational Intelligence and Decision Making, 1246, 2021. Crossref

  5. Hart Liudmyla, Combined Approach to Solving the Neumann Problem for a Parametric Quasilinear Elliptic Equation, in Advances in Computer Science for Engineering and Manufacturing, 463, 2022. Crossref

  6. Kiseleva Elena, Prytomanova Olga, Hart Liudmyla, Blyuss Oleg, Application of the Theory of Optimal Set Partitioning for Constructing Fuzzy Voronoi Diagrams, in System Analysis & Intelligent Computing, 1022, 2022. Crossref

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