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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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General Scheme to Obtain Necessary Optimality Conditions for Continuous Optimal Set Partitioning Problems

卷 44, 册 9, 2012, pp. 51-65
DOI: 10.1615/JAutomatInfScien.v44.i9.50
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摘要

General continuous deterministic multiproduct optimal set partitioning problems are formulated in terms of the set function theory. The problems with constraints in the form of inequalities and those with constraints in the form of both equalities and inequalities are considered. For these problems, the necessary optimality conditions are obtained both in the general and constructive form, which can be easily applied to the specific classes of problems. The theorems application is illustrated by example of deterministic multiproduct nonlinear optimal set partitioning problem with the subset center arrangement and constraints in the form of equalities and inequalities.

参考文献
  1. Kiseleva E.M., Shor N.Z. , Continuous problems of optimal set partitioning: theory, algorithms, applications [in Russian].

  2. Kiseleva E.M., Zhiltsova A.A. , The necessary optimality conditions for continuous problems of set partitioning in terms of the theory of set functions.

  3. Kiseleva E.M., Zhiltsova A.A. , Necessary optimality conditions in multiproduct OSP problem in terms of set function theory.

  4. Kiseleva E.M., Zhiltsova A.A. , Necessary and sufficient optimality conditions in problems of optimal set partitioning in terms of set functions. Dual problem.

  5. Kiseleva E.M., Stroyeva V.A. , Algorithm of solving of nonlinear continuous multicomponent problem of optimal set partitioning with placement of subsets centers.

  6. Kiseleva E.M., Zhiltsova A.A. , Some properties of partition space of continuous set.

  7. Lyapunov A.A. , On quite additive functions.

  8. Trukhaev P.N., Khomenyuk V.V. , Theory of nonclassical variational problems [in Russian].

  9. Kiseleva E.M., Hart L.L. , Elements of set functions theory [in Ukrainian].

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