A formula for the reliability of a d-dimensional consecutive-k-out-of-n:F system

Simon R Cowell

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a formula for the reliability of a d-dimensional consecutive-k-out-of-n:F system, that is, a formula for the probability that an array whose entries are (independently of each other) 0 with probability p and 1 with probability q = 1 - p does not include a contiguous subarray whose every entry is 1.
Original languageEnglish
JournalInternational Journal of Combinatorics
DOIs
Publication statusPublished - Jun 21 2015

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