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

Demir, Sevcan2019-10-272019-10-2720090018-95290018-9529https://doi.org/10.1109/TR.2009.2026816https://hdl.handle.net/11454/42608A 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.en10.1109/TR.2009.2026816info:eu-repo/semantics/closedAccessCombined k-out-of-n:F(G) & consecutive k(c)-out-of-n:F(G)Markov dependent trialsrun statisticsReliability of Combined k-out-of-n and Consecutive k(c)-out-of-n Systems of Markov Dependent ComponentsArticle584691693WOS:000272314800014Q2