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The reliability of a large series system under Markov structure

  • M. T. Chao (a1) and James C. Fu (a2)

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}.

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Postal address: Institute of Statistical Science, Academia Sinica, Taipei 11529, Taiwan, ROC.
∗∗ Postal address: Department of Statistics, The University of Manitoba, Winnipeg, Manitoba, Canada, R3T 2N2.

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Research partially supported by the National Science Council of the Republic of China.

Research partially supported under the National Science Council Visiting Professorship Grant of the Republic of China.

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References

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The reliability of a large series system under Markov structure

  • M. T. Chao (a1) and James C. Fu (a2)

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