## Reliability Modeling on Consecutive-$k_r $ -out-of-$n_r $:F Linear Zigzag Structure and Circular Polygon Structure

- Cong Lin, Lirong Cui, David W. Coit, Min Lv
- IEEE Transactions on Reliability
- 2016

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@article{Levitin2004ConsecutiveKS, title={Consecutive k-out-of-r-from-n system with multiple failure criteria}, author={Gregory Levitin}, journal={IEEE Transactions on Reliability}, year={2004}, volume={53}, pages={394-400} }

- Published 2004 in IEEE Transactions on Reliability
DOI:10.1109/TR.2004.833313

This paper proposes a new model which generalizes the linear consecutive k-out-of-r-from-n system to the case of multiple failure criteria. In this model, the system consists of n linearly ordered elements, and fails iff in any group of r/sub 1/,...,r/sub H/ consecutive elements less than k/sub 1/,...,k/sub H/ elements respectively are in a working state. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of… CONTINUE READING

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