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In this paper, we focus on multi-state complex systems and their reliability., we provide a formula which computes the reliability of consecutive-out-of-$n: G$ systems. Then, we extend the used method to obtain the of consecutive k-out-of-Lₙ: G series and consecutive-out-of-Lₙ: G parallel systems. In the end, we illustrate all theoretical by numerical examples.
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Bouloudene et al. (2017) studied this question.
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