Abstract
As a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k-within-m-out-of-n:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution.
Original language | English |
---|---|
Pages (from-to) | 503-510 |
Number of pages | 8 |
Journal | Naval Research Logistics |
Volume | 56 |
Issue number | 6 |
DOIs | |
Publication status | Published - Sept 2009 |
Externally published | Yes |
Keywords
- Exchangeable lifetimes
- Meantime to failure
- Monte Carlo simulation
- Moving order statistics
- Multivariate Pareto distribution
- Samaniego's signature