The reliability of a large series system under Markov structure
- 1 June 1991
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 23 (04) , 894-908
- https://doi.org/10.1017/s0001867800024009
Abstract
Let Y 1, · ··, Yn be a finite Markov chain and let f be a binary value function defined over the state space of the Y's. We study the reliability of general series system having the structure function φ (Y) = min {f(Y 1), · ··, f(Yn )} and show that, under certain regularity conditions, the reliability of the system tends to a constant c (1 ≥ c ≥ 0), where c often has the form c = exp {–λ}.Keywords
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