Optimal consecutive-2-out-of-n systems
Mathematics of Operations Research
Simplified reliabilities for consecutive-k-out-of-n systems
SIAM Journal on Algebraic and Discrete Methods
Optimal assignment of components to a two-stage k-out-of-n system
Mathematics of Operations Research
On the optimal assembly of series-parallel systems
Operations Research Letters
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We introduce redundancy into the consecutive-k (-out-of-n) systems which have recently been widely studied. We study three problems: (i) compute the reliabilities for such systems, (ii) assign components with various working probabilities to a given system to maximize its reliability, (iii) select a system under hardware constraints to maximize the reliability.