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On a class of multiple failure mode systems

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  • Michael V. Boutsikas
  • Markos V. Koutras

Abstract

The primary objective of this work is to introduce and perform a detailed study of a class of multistate reliability structures in which no ordering in the levels of components' performances is necessary. In particular, the present paper develops the basic theory (exact reliability formulae, reliability bounds, asymptotic results) that will make it feasible to investigate systems whose components are allowed to experience m ≥ 2 kinds of failure (failure modes), and their breakdown is described by different families of cut sets in each mode. For illustration purposes, two classical (binary) systems are extended to analogous multiple failure mode structures, and their reliability performance (bounds and asymptotic behavior) is investigated by numerical experimentation. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 167–185, 2002; DOI 10.1002/nav.10007

Suggested Citation

  • Michael V. Boutsikas & Markos V. Koutras, 2002. "On a class of multiple failure mode systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 167-185, March.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:2:p:167-185
    DOI: 10.1002/nav.10007
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    References listed on IDEAS

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    1. Fan C. Meng, 1994. "Characterizing the barlow‐wu structure functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 661-668, August.
    2. 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.
    3. Fu, J. C. & Koutras, M. V., 1995. "Reliability bounds for coherent structures with independent components," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 137-148, February.
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