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- W2097166167 abstract "The commonly known m-consecutive- <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>kc</i> -out-of- <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</i> :F system consists of an ordered linear sequence of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</i> components which fails if there exist at least <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> non-overlapping runs of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>kc</i> consecutive failed components. A more general model is considered here such that the system fails if there exist at least <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> non-overlapping runs of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>kc</i> 1 consecutive failed components, or <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> non-overlapping runs of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>kc</i> 2 consecutive failed ones. The components are assumed to be i.i.d. An approach based on conditional probabilities is presented for evaluating the reliability of such systems. The computational times for various cases are presented. This model may be applied to various systems such as infrared (IR) detecting, and signal processing systems." @default.
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- W2097166167 date "2011-06-01" @default.
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- W2097166167 title "Combined $m_{1}$-Consecutive-$k_{c1}$-Out-of-$n$ and $m_{2}$-Consecutive-$k_{c2}$-Out-of-$n$ Systems" @default.
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- W2097166167 doi "https://doi.org/10.1109/tr.2011.2136550" @default.
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