Solving a Continuous Single-product Problem of Optimal Partitioning with Additional Conditions

Elena M. Kiseleva; Yana E. Kadochnikova

doi:10.1615/JAutomatInfScien.v41.i7.30

Journal of Automation and Information Sciences

Chefredakteur: Arkadiy A. Chikriy (open in a new tab)

Mitherausgebers: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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Solving a Continuous Single-product Problem of Optimal Partitioning with Additional Conditions

Volumen 41, Ausgabe 7, 2009, pp. 48-63

DOI: 10.1615/JAutomatInfScien.v41.i7.30

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Elena M. Kiseleva
Oles Honchar Dnipro National University, Dnepr

Yana E. Kadochnikova
Dneprodzerzhinsk State Technical University, Ukraine

ABSTRAKT

Consideration was given to a continuous linear single-product problem of optimal partitioning a set Ω from n-measurable Euclidean space into subsets with allocation of their centers and additional conditions like constraints on communication throughputs. The method and algorithm of this problem solution are presented.

SCHLÜSSELWÖRTER: infinite-dimensional problem, optimal partition, nonsmooth optimization problem, Shor algorithm, Lebesgue measurable set

REFERENZIERT VON

Borisovsky Pavel, Dolgui Alexandre, Kovalev Sergey, Modelling transfer line design problem via a set partitioning problem, Optimization Letters, 6, 5, 2012. Crossref
Stoyan Y. G., Yakovlev S. V., Theory and Methods of Euclidian Combinatorial Optimization: Current Status and Prospects, Cybernetics and Systems Analysis, 56, 3, 2020. Crossref
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
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
G Yaskov, A Chugay, T Romanova, S Shekhovtsov, Modern method of topology optimization of products in additive production, Artificial Intelligence, 27, jai2022.27(1), 2022. Crossref

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