Improved upper bounds for the reliability of d‐dimensional consecutive‐k‐out‐of‐n: F systems

Anant P. Godbole, Laura K. Potter and Jessica K. Sklar

Naval Research Logistics (NRL), 1998, vol. 45, issue 2, 219-230

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. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 219–230, 1998

Date: 1998
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https://doi.org/10.1002/(SICI)1520-6750(199803)45:23.0.CO;2-B

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:45:y:1998:i:2:p:219-230

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