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Exact Reliability Formulas for Linear Consecutive-k-out-of-n: F Systems
Authors:Shen Yuan-long  ZHANG Wen-jie
Abstract:A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.
Keywords:minimal cut set  Sum of Disjoint Products ( SDP )  disjoint approach  linear consecutive k out of n: F system
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