Methods of Chebyshev points of convex sets and their applications |
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| Authors: | T I Belykh V P Bulatov E N Yas’kova |
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| Institution: | (1) Baikal State University of Economics and Law, ul. Lenina 11, Irkutsk, 664003, Russia;(2) Melentiev Energy System Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia |
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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. |
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| Keywords: | convex programming problem convex sets Chebyshev points integer programming problem |
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