Remaining useful life estimation based on Wiener degradation processes with random failure threshold

Remaining useful life (RUL) estimation based on condition monitoring data is central to condition based maintenance (CBM). In the current methods about the Wiener process based RUL estimation, the randomness of the failure threshold has not been studied thoroughly. In this work, by using the truncat...

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Published inJournal of Central South University Vol. 23; no. 9; pp. 2230 - 2241
Main Authors Tang, Sheng-jin, Yu, Chuan-qiang, Feng, Yong-bao, Xie, Jian, Gao, Qin-he, Si, Xiao-sheng
Format Journal Article
LanguageEnglish
Published Changsha Central South University 01.09.2016
Springer Nature B.V
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Online AccessGet full text
ISSN2095-2899
2227-5223
DOI10.1007/s11771-016-3281-z

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Abstract Remaining useful life (RUL) estimation based on condition monitoring data is central to condition based maintenance (CBM). In the current methods about the Wiener process based RUL estimation, the randomness of the failure threshold has not been studied thoroughly. In this work, by using the truncated normal distribution to model random failure threshold (RFT), an analytical and closed-form RUL distribution based on the current observed data was derived considering the posterior distribution of the drift parameter. Then, the Bayesian method was used to update the prior estimation of failure threshold. To solve the uncertainty of the censored in situ data of failure threshold, the expectation maximization (EM) algorithm is used to calculate the posteriori estimation of failure threshold. Numerical examples show that considering the randomness of the failure threshold and updating the prior information of RFT could improve the accuracy of real time RUL estimation.
AbstractList Remaining useful life (RUL) estimation based on condition monitoring data is central to condition based maintenance (CBM). In the current methods about the Wiener process based RUL estimation, the randomness of the failure threshold has not been studied thoroughly. In this work, by using the truncated normal distribution to model random failure threshold (RFT), an analytical and closed-form RUL distribution based on the current observed data was derived considering the posterior distribution of the drift parameter. Then, the Bayesian method was used to update the prior estimation of failure threshold. To solve the uncertainty of the censored in situ data of failure threshold, the expectation maximization (EM) algorithm is used to calculate the posteriori estimation of failure threshold. Numerical examples show that considering the randomness of the failure threshold and updating the prior information of RFT could improve the accuracy of real time RUL estimation.
Author Tang, Sheng-jin
Feng, Yong-bao
Yu, Chuan-qiang
Xie, Jian
Gao, Qin-he
Si, Xiao-sheng
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Issue 9
Keywords wiener process
bayesian
random failure threshold
remaining useful life
condition based maintenance
EM algorithm
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Snippet Remaining useful life (RUL) estimation based on condition monitoring data is central to condition based maintenance (CBM). In the current methods about the...
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SubjectTerms Bayesian analysis
Condition monitoring
Control Science and Information Engineering
Current distribution
Engineering
Failure
Mathematical models
Mechanical Engineering
Metallic Materials
Normal distribution
Randomness
Useful life
Title Remaining useful life estimation based on Wiener degradation processes with random failure threshold
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Volume 23
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