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Reliability of consecutive-k-out-of-n:F systems with nonidentical component reliabilities

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2 Author(s)
Kossow, Andreas ; Wismar Technol. Univ., West Germany ; Preuss, W.

A system with n components in sequence is a consecutive- k-out-of-n:F system if it fails whenever k consecutive components are failed. Under the supposition that component failures need not be independent and that component failure probabilities need not be equal, a topological formula is presented for the exact system reliability of linear and circular consecutive-k -out-of-n:F networks. The number of terms in the reliability formula is O(n4) in the linear case and O(n5) in the circular case

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Reliability, IEEE Transactions on  (Volume:38 ,  Issue: 2 )