Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2005, Volume 8, Number 3, Pages 231–244 (Mi sjvm223)  
Verification of data in certain problems of linear programming and the generalized Bernshtein problem

S. É. Lugovkin

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: We study the problem of finding the necessary and sufficient conditions of the fact that a given set of numbers could be a set of probabilities of certain events and probabilities of the pairwise interselection of such events. The algorithm of building a system of inequalities for solving this problem is obtained. The application of this algorithm to more general problems is discussed.
Key words: event, probability, the exception method, reliability, compatibility of parameters.
Received: 12.05.2004
Revised: 03.06.2004
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: S. É. Lugovkin, “Verification of data in certain problems of linear programming and the generalized Bernshtein problem”, Sib. Zh. Vychisl. Mat., 8:3 (2005), 231–244
Citation in format AMSBIB
\Bibitem{Lug05}
\by S.~\'E.~Lugovkin
\paper Verification of data in certain problems of linear programming and the generalized Bernshtein problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2005
\vol 8
\issue 3
\pages 231--244
\mathnet{http://mi.mathnet.ru/sjvm223}
\zmath{https://zbmath.org/?q=an:1076.60014}
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