Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems
Document Type
Article
Publication Date
3-1998
Department
Department of Mathematical Sciences
Abstract
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 [5] 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.
Publication Title
Naval Research Logistics
Recommended Citation
Godbole, A.,
Potter, L.,
&
Sklar, J.
(1998).
Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems.
Naval Research Logistics,
45(2), 219-230.
http://doi.org/10.1002/(sici)1520-6750(199803)45:2<219::aid-nav6>3.3.co;2-i
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3323