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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 208–220 (Mi znsl4147)  
An application of integral geometry to linear inequality theory

P. V. Sporyshev
Full-text PDF (769 kB)
Abstract: A. M. Versik suggested to identify Linear Programming Problems space with the corresponding Grassmann manifold. A probablility measure is defined on the manifold. The average number of permissible bases and the measures of the problems with finite and infinite extreme are calculated.
Bibliographic databases:
Document Type: Article
UDC: 519.852
Language: Russian
Citation: P. V. Sporyshev, “An application of integral geometry to linear inequality theory”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 208–220
Citation in format AMSBIB
\Bibitem{Spo83}
\by P.~V.~Sporyshev
\paper An application of integral geometry to linear inequality theory
\inbook Differential geometry, Lie groups and mechanics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 123
\pages 208--220
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697254}
\zmath{https://zbmath.org/?q=an:0521.52009}
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  • https://www.mathnet.ru/eng/znsl/v123/p208
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