A switching diffusion model for lifetime estimation in randomly varying environments

This article presents a switching diffusion model for estimating the useful lifetime of a component that operates in a randomly varying environment. The component's degradation process is unobservable; therefore, a signal of degradation is observed to estimate the environment parameters using a...

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Bibliographic Details
Published inIIE transactions Vol. 46; no. 11; pp. 1227 - 1241
Main Authors Flory, John A., Kharoufeh, Jeffrey P., Gebraeel, Nagi Z.
Format Journal Article
LanguageEnglish
Published Norcross Taylor & Francis 02.11.2014
Taylor & Francis Ltd
Subjects
Approximation
Degradation-based reliability
Markov analysis
Monte Carlo simulation
Parameter estimation
random environment
Simulation
Stochastic models
Studies
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Summary:This article presents a switching diffusion model for estimating the useful lifetime of a component that operates in a randomly varying environment. The component's degradation process is unobservable; therefore, a signal of degradation is observed to estimate the environment parameters using a Markov chain Monte Carlo statistical procedure. These parameter estimates serve as key inputs to an analytical stochastic model that approximates the first passage time of the degradation process to a critical threshold. Several numerical examples involving simulated and real degradation data are presented to illustrate the quality of these approximations.
ISSN:0740-817X
2472-5854
1545-8830
2472-5862
DOI:10.1080/0740817X.2014.893400