Point and Interval Estimators of Reliability Indices for Repairable Systems Using the Weibull Generalized Renewal Process

IEEE Access

Rong Pan¹  Zhiming Wang² 

[1] School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, Tempe, AZ, USA;School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou, China;

关键词: Reliability assessment;    repairable system;    Weibull generalized renewal process;    interval estimation;    failure intensity;   

DOI  :  10.1109/ACCESS.2021.3049438

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown