Xiao Liu, Vikneswaran Gopal, et al.
Annals of Applied Statistics
Failures of engineering structures and equipment are often attributed to the failure of a single component. Hence, it is important to identify critical components in a system and understand how a component's criticality changes over time under dynamic environments. This article investigates the criticality analysis for components with multiple competing failure modes due to degradation. The component degradation is modeled as a k-dimensional Wiener process. A component fails when any of the k degradation processes associated with that component attains a certain threshold level. Motivated by Nelson's cumulative exposure model, a relationship between both the mean and diffusion of the degradation process and environmental conditions is established. Expressions of a component's criticality measures are derived. Numerical examples are presented to illustrate the criticality analysis. © 2014 Copyright © "IIE".
Xiao Liu, Vikneswaran Gopal, et al.
Annals of Applied Statistics
Yada Zhu, Elsayed A. Elsayed
Quality Technology and Quantitative Management
Xiao Liu, Kyongmin Yeo, et al.
Journal of Quality Technology
Yada Zhu, Elsayed A. Elsayed
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