Reliability of a k-out-of-n System with Common-cause Failures Using Multivariate Exponential Distribution

https://doi.org/10.1016/j.procs.2016.08.101Get rights and content
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Abstract

In recent years, numerous papers dealing with extensions of Marshall-Olkin distributions have appeared. However, the Marshall- Olkin model is not yet a commonly used mathematical model in the field of risk analysis, even though it has been considered to be suitable for common cause analysis in the field of statistics. We consider the reliability of a k-out-of-n system subjected to Marshall-Olkin type shocks. All combinations of components in the system are assumed to be shock sources in the analysis. We formulate the system reliability and numerically compare the results with those obtained using the conventional α-factor model.

Keywords

common-cause failure
Marshall-Olkin model
multivariate exponential distribution
k-out-of-n system
reliability

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