Bounds for reliability of consecutive k-within-m-out-of-n:F systems

Bounds for reliability of consecutive k-within-m-out-of-n:F systems

Upper and lower bounds for the reliability of a (linear or circular) consecutive k-within-m-out-of-n:F system with unequal component-failure probabilities are provided. Numerical calculations indicate that, for systems with components of good enough reliability, these bounds quite adequately estimat...

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Veröffentlicht in:IEEE transactions on reliability 1993-03, Vol.42 (1), p.156-160
Hauptverfasser: Papastavridis, S.G., Koutras, M.V.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Control charts
Exact sciences and technology
Inspection
Operational research and scientific management
Operational research. Management science
Production
Quality control
Radar detection
Reliability theory
Reliability theory. Replacement problems
Upper bound
Weibull distribution
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Zusammenfassung:Upper and lower bounds for the reliability of a (linear or circular) consecutive k-within-m-out-of-n:F system with unequal component-failure probabilities are provided. Numerical calculations indicate that, for systems with components of good enough reliability, these bounds quite adequately estimate system reliability. The estimate is easy to calculate, having computational complexity O(m/sup 2/*n). For identically distributed components, a Weibull limit theorem for system time-to-failure is proved.< >
ISSN:0018-9529
1558-1721
DOI:10.1109/24.210288