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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 1, Pages 18–32 (Mi zvmmf192)  
This article is cited in 4 scientific papers (total in 4 papers)

Methods of Chebyshev points of convex sets and their applications

T. I. Belykha, V. P. Bulatovb, È. N. Yas'kovab

a Baikal State University of Economics and Law, ul. Lenina 11, Irkutsk, 664003, Russia
b Melentiev Energy System Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia
Full-text PDF (1739 kB) Citations (4)
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Abstract: Chebyshev points of bounded convex sets, search algorithms for them, and various applications to convex programming are considered for simple approximations of reachable sets, optimal control, global optimization of additive functions on convex polyhedra, and integer programming. The problem of searching for Chebyshev points in multicriteria models of development and operation of electric power systems is considered.
Key words: convex programming, problem, convex sets, Chebyshev points, integer programming problem.
Received: 09.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 1, Pages 16–29
DOI: https://doi.org/10.1007/s11470-008-1002-x
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: T. I. Belykh, V. P. Bulatov, È. N. Yas'kova, “Methods of Chebyshev points of convex sets and their applications”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008), 18–32; Comput. Math. Math. Phys., 48:1 (2008), 16–29
Citation in format AMSBIB
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