Title :
Bounds for reliability of consecutive k-within-m-out-of-n:F systems
Author :
Papastavridis, Stavros G. ; Koutras, Markos V.
Author_Institution :
Dept. of Math., Athens Univ., Greece
fDate :
3/1/1993 12:00:00 AM
Abstract :
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(m2×n). For identically distributed components, a Weibull limit theorem for system time-to-failure is proved
Keywords :
computational complexity; failure analysis; probability; reliability theory; Weibull limit theorem; circular systems; component-failure probabilities; computational complexity; consecutive k-within-m-out-of-n:F systems; identically distributed components; linear systems; lower bounds; reliability; time-to-failure; upper bounds; Control charts; Inspection; Production; Quality control; Radar detection; Reliability theory; Upper bound; Weibull distribution;
Journal_Title :
Reliability, IEEE Transactions on
