Article (Scientific journals)
System reliability and weighted lattice polynomials
Dukhovny, Alexander; Marichal, Jean-Luc
2008In Probability in the Engineering and Informational Sciences, 22 (3), p. 373-388
Peer reviewed
 

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Keywords :
lifetime models; reliability; weighted lattice polynomial; discrete Sugeno integral; probability generating function
Abstract :
[en] The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of its components. As such, the concept of a random variable Y defined by a weighted lattice polynomial of (lattice-valued) random variables is considered in general and in some special cases. The central object of interest is the cumulative distribution function of Y. In particular, numerous results are obtained for lattice polynomials and weighted lattice polynomials in case of independent arguments and in general. For the general case, the technique consists in considering the joint probability generating function of "indicator" variables. A connection is studied between Y and order statistics of the set of arguments.
Disciplines :
Civil engineering
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-412
Author, co-author :
Dukhovny, Alexander;  San Francisco State University, San Francisco, USA > Mathematics Department
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
System reliability and weighted lattice polynomials
Publication date :
July 2008
Journal title :
Probability in the Engineering and Informational Sciences
ISSN :
0269-9648
Publisher :
Cambridge University Press
Volume :
22
Issue :
3
Pages :
373-388
Peer reviewed :
Peer reviewed
Focus Area :
Security, Reliability and Trust
Name of the research project :
F1R-CSC-PUL-08RMSD > RMSD > 01/04/2008 – 31/12/2011 > BISDORFF Raymond
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 25 September 2013

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