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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Algorithm of Solving of Nonlinear Continuous Multicomponent Problem of Optimal Set Partitioning with Placement of Subsets Centers

卷 44, 册 2, 2012, pp. 15-29
DOI: 10.1615/JAutomatInfScien.v44.i2.20
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摘要

The method and algorithm for solving of nonlinear continuous multicomponent problem of optimal partition of set Ω from n-dimensional Euclidian space into its nonintersecting subsets with placement of their centers under constraints are presented. Demand and cost functions of production transportation can be different for different types of production.

参考文献
  1. Kiselova E.M., Shor N.Z., Continuous problems of sets optimal partitioning: theory, algorithms, applications.

  2. Kiselova E.M., Dunaichuk M.S., Solving a continuous nonlinear problem of optimal set partition with arrangement of subset centers in the case of a convex objective functional.

  3. Kiselova E.M., Dunaichuk M.S., The Kuhn–Takker theorem for nonlinear continuous problem of sets optimal partitioning.

  4. Kiselova E.M., Dunaichuk M.S., On algorithm of solving of continuous nonlinear multicomponent problem of optimal partitioning of sets.

  5. Vasilyev F.P., Methods for extremal problems solving.

  6. Trukhayev R.N., Khomenyuk V.V., Theory of nonclassical variational problems.

  7. Shor N.Z., Methods of minimization of nondifferentiable functions and their application.

  8. Fedorov V.V., Numerical methods of maximin.

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