Reliability of Combined k-out-of-n and Consecutive k(c)-out-of-n Systems of Markov Dependent Components

Articles > Article · 2009

Authors: Sevcan DEMİR ATALAY

IEEE TRANSACTIONS ON RELIABILITY, Journal Indexed in SCI Expanded, International, 2009, vol 58, pp 691-693

DOI: 10.1109/tr.2009.2026816

Summary

A combined k-out-of-n: F(G) consecutive k-out-of-n:F(G) system fails (functions) iff at least components fail (function), or at least consecutive components fail (function). These models involve two common failure criteria, and can be used in various situations depending on the actual failure criteria involving consecutive components, or all components. Explicit formulas for the reliabilities of these systems are obtained for Markov dependent components using the distribution theory of runs. Some numerical results are also presented.

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