TY - JOUR
T1 - Point and Interval Estimators of Reliability Indices for Repairable Systems Using the Weibull Generalized Renewal Process
AU - Wang, Zhiming
AU - Pan, Rong
N1 - Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 51565032, and in part by the China Scholarship Council under Grant 201708625073.
Publisher Copyright:
© 2013 IEEE.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Reliability assessment
KW - Weibull generalized renewal process
KW - failure intensity
KW - interval estimation
KW - repairable system
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U2 - 10.1109/ACCESS.2021.3049438
DO - 10.1109/ACCESS.2021.3049438
M3 - Article
AN - SCOPUS:85099262283
SN - 2169-3536
VL - 9
SP - 6981
EP - 6989
JO - IEEE Access
JF - IEEE Access
M1 - 9314143
ER -