Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems
✍ Scribed by Anant P. Godbole; Laura K. Potter; Jessica K. Sklar
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 82 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
✦ Synopsis
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 compare our results numerically to previously determined upper bounds. In the case of equal component-failure probabilities, we determine analytically, given k and n, those component-failure probabilities for which our bound betters the upper bounds found by Fu and Koutras [4] and Koutras et al. [6]. A different kind of analytic comparison is made with the upper bound of Barbour et al. [3]. We further generalize our upper bound, given identical component-failure probabilities, to suit d-dimensional systems for d ¢ 3.