TY - JOUR
T1 - Stochastic modeling of degradation branching processes
AU - Wang, Changxi
AU - Elsayed, Elsayed A.
N1 - Funding Information: The authors would like to thank the reviewers, the Associate Editor and the Editor for the detailed comments and valuable suggestions which lead to significant improvements of the paper. Special thanks to Dr. Ryan Sills from the Department of Materials Science and Engineering at Rutgers University for his inputs, comments and discussions throughout the revision of the paper. Publisher Copyright: © 2020, Copyright © 2020 “IISE”.
PY - 2020
Y1 - 2020
N2 - Degradation branching is a common phenomenon in many real-life applications. The degradation of a location not only increases with time, but also propagates to other locations in the same system. While the degradation of an individual location has been studied extensively, research on degradation branching is sparse. In this paper, we develop a general stochastic degradation branching model that characterizes both the degradation growth and degradation propagation. The probabilistic properties of the general degradation branching processes are analyzed. Reliability metrics such as the mean time to failure, mean residual life, failure probability and others are also investigated. In particular, closed-form expressions for the expectation and variance of the degradation and selected reliability metrics are obtained when the time to branch follows an exponential distribution. The model is validated using actual crack growth data.
AB - Degradation branching is a common phenomenon in many real-life applications. The degradation of a location not only increases with time, but also propagates to other locations in the same system. While the degradation of an individual location has been studied extensively, research on degradation branching is sparse. In this paper, we develop a general stochastic degradation branching model that characterizes both the degradation growth and degradation propagation. The probabilistic properties of the general degradation branching processes are analyzed. Reliability metrics such as the mean time to failure, mean residual life, failure probability and others are also investigated. In particular, closed-form expressions for the expectation and variance of the degradation and selected reliability metrics are obtained when the time to branch follows an exponential distribution. The model is validated using actual crack growth data.
KW - Degradation branching processes
KW - expected degradation
KW - expected number of branches
KW - failure time distribution
KW - reliability estimation
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U2 - https://doi.org/10.1080/24725854.2020.1775914
DO - https://doi.org/10.1080/24725854.2020.1775914
M3 - Article
SN - 0740-817X
SP - 365
EP - 374
JO - IIE Transactions (Institute of Industrial Engineers)
JF - IIE Transactions (Institute of Industrial Engineers)
ER -