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Reliability analysis for systems based on degradation rates and hard failure thresholds changing with degradation levels

Chang, M. and Huang, X. and Coolen, F.P.A. and Coolen-Maturi, T. (2021) 'Reliability analysis for systems based on degradation rates and hard failure thresholds changing with degradation levels.', Reliability engineering & system safety., 216 . p. 108007.


Degradation-shock failure processes widely exist in practice, and extensive work has been carried out to better describe such processes. In this paper, a new model is developed for reliability analysis of systems subject to dependent degradation-shock failure processes. The proposed model extends the previous work by considering the effects of the degradation levels on both the degradation rates and the hard failure thresholds. Instead of shifting with the shock levels, the degradation rates are supposed to increase with the degradation levels, and the hard failure thresholds decrease when the system deteriorates to certain levels. Then, the general reliability functions for the systems subject to multi-state degradation are provided, after deriving the reliability formulas for the systems with two state degradation. In addition, the accuracy of the proposed methods is verified by Monte-Carlo simulation. Finally, a numerical example is presented to illustrate the validity of the presented model, and analytical results of the proposed model are compared with previous work. The results indicate that the presented method offers a more realistic system reliability evaluation.

Item Type:Article
Full text:Publisher-imposed embargo until 01 September 2023.
(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
File format - PDF
Publisher Web site:
Publisher statement:© 2021 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:18 August 2021
Date deposited:19 August 2021
Date of first online publication:01 September 2021
Date first made open access:01 September 2023

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