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Problemy Peredachi Informatsii, 2001, Volume 37, Issue 2, Pages 62–76 (Mi ppi517)  
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Untying of Clutter-Family Supports and Its Role in the Monotone-Structure Reliability Theory

V. P. Polesskii
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Abstract: We suggest a transformation of supports of a clutter family. It is a natural generalization of the untying transformation of a one-clutter support previously introduced by the author. We show that the new transformation does not decrease the reliability of the corresponding clutter sum. We give new bounds for the clutter-sum reliability. We demonstrate that the untying transformation of clutter-family supports and the factor transformation introduced by McDiarmid provide a combinatorial basis for the monotone-structure reliability theory.
Received: 14.12.2000
English version:
Problems of Information Transmission, 2001, Volume 37, Issue 2, Pages 140–154
DOI: https://doi.org/10.1023/A:1010422108958
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519
Language: Russian
Citation: V. P. Polesskii, “Untying of Clutter-Family Supports and Its Role in the Monotone-Structure Reliability Theory”, Probl. Peredachi Inf., 37:2 (2001), 62–76; Problems Inform. Transmission, 37:2 (2001), 140–154
Citation in format AMSBIB
\Bibitem{Pol01}
\by V.~P.~Polesskii
\paper Untying of Clutter-Family Supports and Its Role in the Monotone-Structure Reliability Theory
\jour Probl. Peredachi Inf.
\yr 2001
\vol 37
\issue 2
\pages 62--76
\mathnet{http://mi.mathnet.ru/ppi517}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099898}
\zmath{https://zbmath.org/?q=an:1003.90016}
\transl
\jour Problems Inform. Transmission
\yr 2001
\vol 37
\issue 2
\pages 140--154
\crossref{https://doi.org/10.1023/A:1010422108958}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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