Reliability of Combined $k{\hbox{-out-of-}}n$ and Consecutive $k_{c}{\hbox{-out-of-}}n$ Systems of Markov Dependent Components

S. Demir

doi:10.1109/tr.2009.2026816

Reliability of Combined $k{\hbox{-out-of-}}n$ and Consecutive $k_{c}{\hbox{-out-of-}}n$ Systems of Markov Dependent Components

Makaleler > Tam Makale · 2009

Yazarlar: S. Demir

IEEE Transactions on Reliability, Uluslararası, Wos, 2009, cilt 58, ss 691-693

DOI: 10.1109/tr.2009.2026816

Özet

A combinedk-out-of-n:F(G) & consecutivekc-out-of-n:F(G) system fails (functions) iff at leastkcomponents fail (function), or at leastkcconsecutive 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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