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ISSN Print: 1064-2315
ISSN Online: 2163-9337
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On Solving and Properties of the Simplest Dynamical Problem of Optimal Set Partition Problem
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ABSTRACT
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.
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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.
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Kiseleva E.M., Shor N.Z. , Continuous problems of optimal set partition: theory, algorithms, applications [in Russian].
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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.
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Koriashkina L.S., Shevchenko T.O. , New approaches to solving dynamical problem of optimal set partition.
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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