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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v45.i6.10
pages 1-12

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

Elena M. Kiseleva
Oles Honchar Dnipro National University, Dnepr
Larisa S. Koriashkina
Oles Honchar Dnepropetrovsk National University


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.


  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.

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