Reliability analysis of a k-out-of-n:F system under a linear degradation model with calibrations

A k -out-of- n : F system with both of soft and hard failures is considered such that its components degrade through internal and external factors. A linear model is considered for degradation path of each component. Reliability function of the system is derived and the effect of varying the paramet...

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Bibliographic Details
Published in:Annals of the Institute of Statistical Mathematics 2019-06, Vol.71 (3), p.537-552
Main Authors: Nezakati, Ensiyeh, Razmkhah, Mostafa, Haghighi, Firoozeh
Format: Article
Language:English
Subjects:
Calibration
Component reliability
Degradation
Economics
Failure
Finance
Insurance
Management
Mathematics
Mathematics and Statistics
Reliability analysis
Sensitivity analysis
Statistics
Statistics for Business
Stochastic models
System reliability
Working hours
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Summary:A k -out-of- n : F system with both of soft and hard failures is considered such that its components degrade through internal and external factors. A linear model is considered for degradation path of each component. Reliability function of the system is derived and the effect of varying the parameters are studied on reliability function for some systems. Moreover, the effect of calibration on reliability and maximum working time of such a system is investigated. The optimal number of calibrations is also determined for some special cases.
ISSN:0020-3157
1572-9052
DOI:10.1007/s10463-018-0650-4