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- W1570392205 abstract "A k-out-of-n system is a system with n components which functions or works if at least k out of the n components work. Parallel and series systems are special cases of a k-out-of-n system. There are many different arrangements of the components in a k-out-of-n system and many assumptions that can be made about the lifetimes of the components. In this chapter, the lifetimes of the components in the system are assumed to be independent and identically distributed. The reliability function of the system is found by calculating the probability that at least k components out of the n components work. The mean time to failure of the system is also found for the case of components with exponential distributions of lifetimes. In addition, the reliability function for a linear and circular consecutive k-out-of-n system is given.Keywords:k-out-of-n system;reliability;exponential distribution;consecutive k-out-of-n system;circular k-out-of-n system;linear k-out-of-n system;binomial distribution" @default.
- W1570392205 created "2016-06-24" @default.
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- W1570392205 date "2014-09-29" @default.
- W1570392205 modified "2023-09-24" @default.
- W1570392205 title "k ‐out‐of‐ n Systems" @default.
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- W1570392205 doi "https://doi.org/10.1002/9781118445112.stat04237" @default.
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