Further Signature-Based Analysis of System Lifetimes
A direct majority system of order n is an n-component system that works if and only if a majority of its components are working. When n is odd, a direct majority system is simply an (n + 1)/2-out-of-n system. When n is even, randomization is generally employed in defining the system. Specifically, if n = 2m for some positive integer m, then a direct majority system works either if more than m components are working or if exactly m are working and a Bernoulli random variable X ∼ B(1, 1/2) yields a success.
KeywordsSurvival Function Mixed System Signature Vector Coherent System Lifetime Distribution
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