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Journal of Automation and Information Sciences

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On Solving and Properties of the Simplest Dynamical Problem of Optimal Set Partition Problem

Volumen 45, Ausgabe 6, 2013, pp. 1-12
DOI: 10.1615/JAutomatInfScien.v45.i6.10
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ABSTRAKT

We adduce mathematical statement of the simplest dynamical problem of optimal set partition in n-dimensional Euclidean space. Theorem about reduction of this problem to family of problems of optimal control of a system with lumped parameters was proved. Optimal solutions of potential variants of the problem were obtained in analytical form and investigated.

REFERENZEN
  1. Kiseleva E.M. , Mathematical methods and algorithms of solving of continuous problems of optimal set partition and their applications [in Russian], Author's abstract of doctor thesis, 01.01.09.

  2. Kiseleva E.M., Shor N.Z. , Continuous problems of optimal set partition: theory, algorithms, applications [in Russian].

  3. Kiseleva E.M., Koriashkina L.S., Shevchenko T.O. , Directions of development of dynamical problems of optimal set partition, Systems analysis and information technologies, Materials of the 12th International scientific-practical conference SAIT 2010, Kiev, May 25–29, 2010.

  4. Koriashkina L.S., Shevchenko T.O. , New approaches to solving dynamical problem of optimal set partition.

REFERENZIERT VON
  1. Blyuss Oleg, Koriashkina Larysa, Kiseleva Elena, Molchanov Robert, Optimal Placement of Irradiation Sources in the Planning of Radiotherapy: Mathematical Models and Methods of Solving, Computational and Mathematical Methods in Medicine, 2015, 2015. Crossref

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