Journal ArticleDOI
On Modeling Bivariate Wiener Degradation Process
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TLDR
A new bivariate degradation model based on the Wiener process is proposed that can describe the common factor affecting the degradation of the two performance characteristics and unit-to-unit variation simultaneously simultaneously and the reliability functions of the system and the remaining useful life of theSystem have analytic forms.Abstract:
Modern products are usually designed with high reliability and have complex structures, and degradation analysis of the complex systems with two or multiple performance characteristics is still a challenge. In this paper, we propose a new bivariate degradation model based on the Wiener process. There are three main merits of the proposed model: it can describe the common factor affecting the degradation of the two performance characteristics and unit-to-unit variation simultaneously, the reliability functions of the system and the remaining useful life of the system have analytic forms, and the model parameters and the missing values can be estimated by the Bayesian method and data augmentation. The simulation study and data analysis show that the Bayesian method and the proposed model have satisfactory performance.read more
Citations
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Journal ArticleDOI
Optimal Inspection and Replacement Policies for Multi-Unit Systems Subject to Degradation
TL;DR: This paper aims to study the optimal inspection/replacement CBM strategy for a multi-unit system and casts the problem into a Markov decision framework and derives the optimal maintenance decisions that minimize the maintenance cost.
Journal ArticleDOI
Reliability and availability analysis of stochastic degradation systems based on bivariate Wiener processes
TL;DR: A two-stage stochastic degradation model of the degradation mechanisms of complex systems with multiple performance characteristics is developed and explicit expressions of the system reliability and availabilities are given based on different inspection and maintenance policies.
Journal ArticleDOI
Bayesian Approach for Two-Phase Degradation Data Based on Change-Point Wiener Process With Measurement Errors
TL;DR: A change-point Wiener process with measurement errors (CPWPME) to fit two-phase degradation paths of organic light-emitting diodes (OLEDs) is proposed by using hierarchical Bayesian method and provides higher modeling flexibility and prediction power for future testing units than existing three degradation models.
Journal ArticleDOI
Exponential Dispersion Process for Degradation Analysis
Shirong Zhou,Ancha Xu +1 more
TL;DR: A new stochastic process, called exponential dispersion process, is developed to describe the degradation path of the product's physical or chemical characteristics, which includes the most used degradation models as special cases.
Journal ArticleDOI
Degradation Modeling Using Stochastic Processes With Random Initial Degradation
TL;DR: A time shift to the traditional stochastic process models, which presumes that the product has experienced some degradation at the beginning of the test, is introduced.
References
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Journal ArticleDOI
Covariates and random effects in a gamma process model with application to degradation and failure.
J. F. Lawless,Martin Crowder +1 more
TL;DR: A tractable gamma-process model incorporating a random effect is constructed fitted to some data on crack growth and corresponding goodness-of-fit tests are carried out and prediction calculations for failure times defined in terms of degradation level passages are developed and illustrated.
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Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology
TL;DR: Bayesian Inference and Modeling Likelihood Models Prior Distributions Posterior Distributions Predictive Distributions Bayesian Hierarchical Models Posterior Inference Exercises Computational Issues Posterior Sampling Markov Chain Monte Carlo Methods Metropolis and Metropolis-Hastings Algorithms Gibbs Sampling Perfect Sampling Posterior and Likelihood Approximations Exercise Residuals and Goodness of Fit Model Goodness-of-Fit Measures General ResidUALs Bayesian Residualitys Predictive Residuallys and the Bootstrap
Journal ArticleDOI
Stochastic modelling and analysis of degradation for highly reliable products
Zhi-Sheng Ye,Min Xie +1 more
TL;DR: In this paper, degradation models are classified into three classes, that is, stochastic process models, general path models, and other models beyond these two classes.
Book
The Frailty Model
Luc Duchateau,Paul Janssen +1 more
TL;DR: In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data.
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