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A lower bound for the reliability function of multiple failure mode systems

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  • Milienos, F.S.
  • Koutras, M.V.

Abstract

In Multiple Failure Mode systems (MFM systems) each component may either work or experience one of m>=2 different failure modes. This work presents a lower product-type bound for the MFM system's reliability function, using the theory of stochastic ordering. Numerical calculations are also carried out to compare the new bound to other bounds that appeared in the reliability literature recently.

Suggested Citation

  • Milienos, F.S. & Koutras, M.V., 2008. "A lower bound for the reliability function of multiple failure mode systems," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1639-1648, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:12:p:1639-1648
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    References listed on IDEAS

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    1. Richard E. Barlow & Alexander S. Wu, 1978. "Coherent Systems with Multi-State Components," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 275-281, November.
    2. Ourania Chryssaphinou & Eutichia Vaggelatou, 2002. "Compound Poisson Approximation for Multiple Runs in a Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 411-424, June.
    3. Sigeo Aki, 1992. "Waiting time problems for a sequence of discrete random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(2), pages 363-378, June.
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