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

Simon R Cowell

doi:10.1155/2015/140909

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

Simon R Cowell

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Journal	International Journal of Combinatorics
DOIs	https://doi.org/10.1155/2015/140909
Publication status	Published - Jun 21 2015

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http://dx.doi.org/10.1155/2015/140909

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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.",

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AB - 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.

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

Abstract

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