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Bounds for coherent reliability structures

Author

Listed:
  • Koutras, M. V.
  • Papastavridis, S. G.
  • Petakos, K. I.

Abstract

Esary and Proschan (1963) proposed a lower bound (resp. upper bound) for the reliability of a general coherent system, which was expressed via system's minimal cut (resp. path) sets. In this article we provide a lower bound based on the minimal path sets and an upper bound based on the minimal cut sets. These bounds, which include as a special case the bounds derived recently by Fu and Koutras (1994b), are subsequently used for the efficient reliability approximation of various coherent structures.

Suggested Citation

  • Koutras, M. V. & Papastavridis, S. G. & Petakos, K. I., 1996. "Bounds for coherent reliability structures," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 285-292, February.
    • Handle: RePEc:eee:stapro:v:26:y:1996:i:3:p:285-292
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    References listed on IDEAS

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    1. James Fu & Markos Koutras, 1994. "Poisson approximations for 2-dimensional patterns," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(1), pages 179-192, March.
    2. Markos V. Koutras & Stavros G. Papastavridis, 1993. "Application of the stein‐chen method for bounds and limit theorems in the reliability of coherent structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 617-631, August.
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    Cited by:

    1. Y-C Hsieh, 2003. "New reliability bounds for coherent systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(9), pages 995-1001, September.

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