A Consecutive-k:-out-of-n:G System: The Mirror Image of a Consecutive-k-out-of-n : F System

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Original languageEnglish
Pages (from-to)244-253
Journal / PublicationIEEE Transactions on Reliability
Issue number2
Publication statusPublished - Jun 1990
Externally publishedYes


A consecutive-k-out-of-n: F (consecutive-k-out-of-n:G) system consists of an ordered sequence of n components such that the system is failed (good) if and only if at least k consecutive components in the system are failed (good). This research studies the relationship between the consecutive-k-out-of-n: F system and the consecutive-k-out-of-n:G system, develops theorems for such systems, and applies available results for one type of system to the other. The topics include system reliability, reliability bounds, component reliability importance, and optimal system design. A case study illustrates reliability analysis and optimal design of a train operation system. An optimal configuration rule is suggested by use of the Birnbaum importance index. © 1990 IEEE

Research Area(s)

  • Consecutive-k-out-of-n system, Optimal system design, Reliability importance