Optimum step-stress accelerated degradation test for Wiener degradation process under constraints

Hu, Cheng; Lee, Ming Yung; Tang, Jen

doi:10.1016/j.ejor.2014.09.003

Cited by 121 publications

(57 citation statements)

References 52 publications

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“…10 The stochastic process model is used to describe the degradation process, and has many advantages. Methods have been developed for optimal design of ADT based on stochastic process models, such as inverse Gaussian process, 11,12 Wiener process, [13][14][15] drift Brownian motion process, 16,17 and Gamma process. [18][19][20] These methods are studied for cases with a single stress or single degradation measure.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Step‐stress Accelerated Degradation Test with Multiple Stresses and Multiple Degradation Measures

Wang

Chen

Tan

2017

Quality & Reliability Eng

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Products with high reliability and long lifetimes undergo different types of stresses in use conditions. Often there are multiple performance indicators for products that gradually degrade over time. An accelerated degradation test (ADT) with multiple stresses and multiple degradation measures (MSMDM) may provide a more accurate prediction of the lifetime of these products. However, the ADT requires a moderate sample size, which is not practical for newly developed or costly products with only a few available test specimens on hand. Therefore, in this study, a step‐stress ADT (SSADT) with MSMDM is developed. However, it is a difficult endeavor to design SSADT with MSMDM to predict accurate reliability estimation under several constraints. Previous methods are used only for cases with a single stress or degradation measure, and are not suitable for SSADT with MSMDM. In this paper, an approach of optimal design is proposed for SSADT with MSMDM and its steps for a rubber sealed O‐ring are demonstrated to illustrate its validity. Results of the sensitivity analysis for the optimal test plan indicate robustness when the deviation of model parameters is within 10% of the estimated values. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

Optimal Design of Step‐stress Accelerated Degradation Test with Multiple Stresses and Multiple Degradation Measures

Wang

Chen

Tan

2017

Quality & Reliability Eng

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“…In recent years, stochastic process models are widely used in degradation modeling. Among those models, Wiener process has been the most popular . Tang et al and Hu et al considered the Wiener process in SSADT to capture unit‐to‐unit variation in a nonlinear degradation process.…”

Section: Adt Design and Planningmentioning

confidence: 99%

“…Among those models, Wiener process has been the most popular. [157][158][159][160] Tang et al 159 and Hu et al 160 considered the Wiener process in SSADT to capture unit-to-unit variation in a nonlinear degradation process. They investigated both the constant and step-stress loadings in these tests.…”

Section: Stochastic Processesmentioning

confidence: 99%

A literature review on planning and analysis of accelerated testing for reliability assessment

Limon

Yadav

Liao

2017

Quality & Reliability Eng

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Accelerated testing has been widely used for several decades. Started with accelerated life tests with constant‐stress loadings, more interest has been focused prominently on accelerated degradation tests and time‐varying stress loadings. Because accelerated testing is crucial to the assessment of product reliability and the design of warranty policy, it is important to develop an efficacious test plan that encompasses and addresses important issues, such as design of stress profiles, sample allocation, test duration, measurement frequency, and budget constraint. In recent years, extensive research has been conducted on the optimal design of accelerated testing plans, and the consideration of multiple stresses with interactions has become a big challenge in such experimental designs. The purpose of this study is to provide a comprehensive review of important methods for statistical inference and optimal design of accelerated testing plans by compiling the existing body of knowledge in the area of accelerated testing. In this work, different types of test planning strategies are categorized, and their drawbacks and the research trends are provided to assist researchers and practitioners in conducting new research in this area.

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“…The model is very suitable to describe a time-dependent degradation process in which error terms cannot be assumed to be independent identically normally distributed. Several methods have been developed for ADT based on stochastic process models, such as inverse Gaussian process [16,22], Wiener process [5,6,17], drift Brownian motion process [4,28], and Gamma process [7,18,27]. These methods are mainly from statistical perspective and lacking in support of physical rules; thus, the prediction accuracy depends on sample size and model selection.…”

Section: Introductionmentioning

confidence: 99%

Lifetime prediction of self-lubricating spherical plain bearings based on physics-of-failure model and accelerated degradation test

Wang¹,

Fang²,

Zhang³

et al. 2016

EiN

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show abstract

Optimum step-stress accelerated degradation test for Wiener degradation process under constraints

Cited by 121 publications

References 52 publications

Optimal Design of Step‐stress Accelerated Degradation Test with Multiple Stresses and Multiple Degradation Measures

Optimal Design of Step‐stress Accelerated Degradation Test with Multiple Stresses and Multiple Degradation Measures

A literature review on planning and analysis of accelerated testing for reliability assessment

Lifetime prediction of self-lubricating spherical plain bearings based on physics-of-failure model and accelerated degradation test

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