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Point and Interval Estimators of Reliability Indices for Repairable Systems Using the Weibull Generalized Renewal Process
- Source :
- IEEE Access, Vol 9, Pp 6981-6989 (2021)
- Publication Year :
- 2021
- Publisher :
- IEEE, 2021.
-
Abstract
- The generalized renewal process considers repair efficiency of imperfect repair in reliability assessment of repairable systems; therefore, its evaluation results are close to real repair circumstance than the ordinary renewal process or the non-homogeneous Poisson process. Based on the asymptotic distribution of maximum likelihood estimation, a calculating method of reliability indices for repairable systems with imperfect repair is proposed. The point and approximate interval estimators of model parameters for Kijima type Weibull generalized renewal processes Models I and II, as well as reliability indices of repairable systems, such as reliability, cumulative failure number and failure intensity, etc., are all presented. Two real cases are studied using generalized renewal processes Models I and II respectively to show the validity of our method. The results show that imperfect repair makes the instantaneous failure intensity of a repairable system discretely jump either up or down at the time of each failure, and the method proposed in this paper agrees well with the other exiting methods, and can also reduce the complexity of calculation.
- Subjects :
- 0209 industrial biotechnology
021103 operations research
General Computer Science
0211 other engineering and technologies
General Engineering
Reliability assessment
Estimator
Asymptotic distribution
02 engineering and technology
Interval (mathematics)
failure intensity
020901 industrial engineering & automation
interval estimation
Jump
Applied mathematics
General Materials Science
Point (geometry)
Renewal theory
lcsh:Electrical engineering. Electronics. Nuclear engineering
Weibull generalized renewal process
lcsh:TK1-9971
Reliability (statistics)
Weibull distribution
Mathematics
repairable system
Subjects
Details
- Language :
- English
- ISSN :
- 21693536
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- IEEE Access
- Accession number :
- edsair.doi.dedup.....9411f180042e930f73d3e5c491ff73a3