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 in:IEEE transactions on reliability 2014-03, Vol.63 (1), p.357-366
Main Authors: Triantafyllou, Ioannis S., Koutras, Markos V.
Format: Article
Language:English
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.
ISSN:0018-9529
1558-1721
DOI:10.1109/TR.2014.2299495