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International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP) (12th : 2015)
A unified formalism for modeling and reliability estimation of degrading systems Riascos-Ochoa, Javier; Sánchez-Silva, Mauricio; Klutke, Georgia-Ann
Abstract
We present a framework to model degradation on deteriorating systems, and to find easy-to- evaluate expressions for important reliability quantities. The model allows to combine multiple degradation mechanisms in the form of shock-based degradation with arbitrary shock sizes and progressive degradation (as deterministic drift plus a gamma process, among others). In addition, the proposed approach can be used to obtain expressions for the reliability function, the mean and n-moments of the deterioration process Xᵼ, and the probability density and moments of the lifetime L. In this paper we also present a novel numerical method to compute these expressions, which is highly efficient and accurate. Furthermore, several deterioration models are compared in terms of the calculated reliability quantities, and the feasible moments of the deterioration Xᵼ. The results demonstrate the generality, versatility, efficiency and accuracy of the proposed framework, which can open a new productive research field in the area of probabilistic degradation models.
Item Metadata
Title |
A unified formalism for modeling and reliability estimation of degrading systems
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Creator | |
Contributor | |
Date Issued |
2015-07
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Description |
We present a framework to model degradation on deteriorating systems, and to find easy-to-
evaluate expressions for important reliability quantities. The model allows to combine multiple degradation
mechanisms in the form of shock-based degradation with arbitrary shock sizes and progressive
degradation (as deterministic drift plus a gamma process, among others). In addition, the proposed approach
can be used to obtain expressions for the reliability function, the mean and n-moments of the
deterioration process Xᵼ, and the probability density and moments of the lifetime L. In this paper we also
present a novel numerical method to compute these expressions, which is highly efficient and accurate.
Furthermore, several deterioration models are compared in terms of the calculated reliability quantities,
and the feasible moments of the deterioration Xᵼ. The results demonstrate the generality, versatility, efficiency
and accuracy of the proposed framework, which can open a new productive research field in the
area of probabilistic degradation models.
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Type | |
Language |
eng
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Notes |
This collection contains the proceedings of ICASP12, the 12th International Conference on Applications of Statistics and Probability in Civil Engineering held in Vancouver, Canada on July 12-15, 2015. Abstracts were peer-reviewed and authors of accepted abstracts were invited to submit full papers. Also full papers were peer reviewed. The editor for this collection is Professor Terje Haukaas, Department of Civil Engineering, UBC Vancouver.
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Date Available |
2015-05-22
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0076224
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URI | |
Affiliation | |
Citation |
Haukaas, T. (Ed.) (2015). Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP12), Vancouver, Canada, July 12-15.
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Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada