 Consecutive k out of n: F systems with Cycle kPhilip J. Boland and Stavros Papastavridis Statistics & Probability Letters, 1999, vol. 44, issue 2, 155-160 Abstract: An r consecutive k out of n: F system is a system of n linearly arranged components which fails if r non-overlapping sequences of k components fail. When r=1 we have the classic consecutive k out of n: F system about which there is an extensive literature. In this research we study the situation where there are k distinct components with failure probabilities qi for i=1,...,k and where the failure probability of the jth component (j=mk+i (1[less-than-or-equals, slant]i[less-than-or-equals, slant]k)) is qi. We call such a system an r consecutive k out of n: F system with cycle (or period) k. We obtain exact expressions for the failure probability of an r consecutive k out of n: F system and in particular show that it is independent of the order of the k components if n is a multiple of k. Interesting applications are given for the arrangement of sport competitions and inspection procedures in quality control. Keywords: r; consecutive; k; out; of; n:; F; systems; with; cycle; k; Reliability; Inspection; procedures (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:44:y:1999:i:2:p:155-160 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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