Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems
Consider a 2-dimensional consecutive-k-out-of-n : F system, as described by Salvia and Lasher , 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  and Koutras et al. . A different kind of analytic comparison is made with the upper bound of Barbour et al. . We further generalize our upper bound, given identical component-failure probabilities, to suit d-dimensional systems for d ≥ 3. © 1998 John Wiley & Sons, Inc.
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Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems.
Naval Research Logistics,
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