Reliability Properties of (n,f,k) Systems

In the present article we study several reliability properties of (n, f, k) systems. More specifically, for the special case k = 2, we deduce the generating function of a system's reliability, and discuss techniques for evaluating its signature vector and reliability function. In addition, for...

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Bibliographic Details
Published inIEEE transactions on reliability Vol. 63; no. 1; pp. 357 - 366
Main Authors Triantafyllou, Ioannis S., Koutras, Markos V.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Equations
k) system
Markov processes
Mathematical analysis
Mathematical model
mean conditional lifetimes
n
Probability
Reliability
Samaniego's signature
Signatures
stochastic order
Stochasticity
System reliability
Vectors
Vectors (mathematics)
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Summary:In the present article we study several reliability properties of (n, f, k) systems. More specifically, for the special case k = 2, we deduce the generating function of a system's reliability, and discuss techniques for evaluating its signature vector and reliability function. In addition, for the general case (k ≥ 2), we establish some stochastic comparisons between reliability structures' lifetimes using their signatures, and present several results and applications pertaining to the lifetimes of (n, f, k) systems.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9529
1558-1721
DOI:10.1109/TR.2014.2299495