Reliability of a 2-dimensional k-within-consecutive-r × s-out-of-m × n:F system
✍ Scribed by Tomoaki Akiba; Hisashi Yamamoto
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 169 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0894-069X
- DOI
- 10.1002/nav.1038
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## Abstract As a generalization of __k__‐out‐of‐__n__:F and consecutive __k__‐out‐of‐__n__:F systems, the consecutive __k__‐within‐__m__‐out‐of‐__n__:F system consists of __n__ linearly ordered components such that the system fails iff there are __m__ consecutive components which include among them
Consider a 2-dimensional consecutive-k-out-of-n : F system, as described by Salvia and Lasher [9], whose components have independent, perhaps identical, failure probabilities. In this paper, we use Janson's exponential inequalities to derive improved upper bounds on such a system's reliability, and