• Title/Summary/Keyword: Random Coefficient Degradation Rate Model

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Statistical Analysis of Degradation Data under a Random Coefficient Rate Model (확률계수 열화율 모형하에서 열화자료의 통계적 분석)

  • Seo, Sun-Keun;Lee, Su-Jin;Cho, You-Hee
    • Journal of Korean Society for Quality Management
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    • v.34 no.3
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    • pp.19-30
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    • 2006
  • For highly reliable products, it is difficult to assess the lifetime of the products with traditional life tests. Accordingly, a recent approach is to observe the performance degradation of product during the test rather than regular failure time. This study compares performances of three methods(i.e. the approximation, analytical and numerical methods) to estimate the parameters and quantiles of the lifetime when the time-to-failure distribution follows Weibull and lognormal distributions under a random coefficient degradation rate model. Numerical experiments are also conducted to investigate the effects of model error such as measurements in a random coefficient model.

Design of Accelerated Degradation Test with Tightened Critical Values under Random Coefficient Degradation Rate Model (확률계수 열화율 모형하에서 판정가속을 도입한 가속열화시험의 설계)

  • Cho, You-hee;Seo, Sun-keun
    • Journal of Korean Institute of Industrial Engineers
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    • v.34 no.1
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    • pp.23-31
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    • 2008
  • This paper presents accelerated degradation test plans considering adoption of tightened critical values. Under arandom coefficient degradation rate and log-linear acceleration models, the asymptotic variance of an estimatorfor a lifetime quantile at the use condition as the optimization criterion is derived where the degradation ratefollows a lognormal and Reciprocal Weibull distributions, respectively and then the low stress level andproportions ofunits allocated to each stress level are determined. We also show that the developed test plans canbe applied to the multiplicative model with measurement error.

Analysis of Degradation Data Using Robust Experimental Design (강건 실험계획법을 이용한 열화자료의 분석)

  • 서순근;하천수
    • Journal of Korean Society for Quality Management
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    • v.32 no.1
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    • pp.113-129
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    • 2004
  • The reliability of the product can be improved by making the product less sensitive to noises. Especially, it Is important to make products robust against various noise factors encountered in production and field environments. In this paper, the phenomenon of degradation assumes a simple random coefficient degradation model to present analysis procedures of degradation data for robust experimental design. To alleviate weak points of previous studies, such as Taguchi's, Wasserman's, and pseudo failure time methods, novel techniques for analysis of degradation data using the cross array that regards amount of degradation as a dynamic characteristic for time are proposed. Analysis approach for degradation data using robust experimental design are classified by assumptions on parametric or nonparametric degradation rate(or slope). Also, a simulation study demonstrates the superiority of proposed methods over some previous works.