• Title/Summary/Keyword: Lognormal Life Time Distribution

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A Bulk Sampling Plan for Reliability Assurance (벌크재료의 신뢰성보증을 위한 샘플링검사 방식)

  • Kim, Dong-Chul;Kim, Jong-Gurl
    • Journal of the Korea Safety Management & Science
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    • v.9 no.2
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    • pp.123-134
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    • 2007
  • This paper focuses on the in-house reliability assurance plan for the bulk materials of each company. The reliability assurance needs in essence a long time and high cost for testing the materials. In order to reduce the time and cost, accelerated life test is adopted. The bulk sampling technique was used for acceptance. Design parameters might be total sample size(segments and increments}, stress level and so on. We focus on deciding the sample size by minimizing the asymptotic variance of test statistics as well as satisfying the consumer's risk. In bulk sampling, we also induce the sample size by adapting the normal life time distribution model when the variable of the lognormal life time distribution is transformed and adapted to the model. In addition, the sample size for both the segments and increments can be induced by minimizing the asymptotic variance of test statistics of the segments and increments with consumer's risk met. We can assure the reliability of the mean life and B100p life time of the bulk materials by using the calculated minimum sample size.

Failure Rate Sampling Plan For Normal and Lognormal Distributions (정규분포와 대수정규분포에서의 고장률 보증시험 샘플링 계획)

  • 임재학;김준홍;윤원영;이종문
    • Journal of Applied Reliability
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    • v.4 no.1
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    • pp.15-26
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    • 2004
  • Life test is performed to set a confidence (lower) limit on the mean or median life of items if the number of failures at the end of the fixed time t does not exceed a given number c. Gupta(1962) propose a sampling plan for truncated life tests when the life distribution of an item is normal or lognormal distribution. In this paper, based on the result of Gupta(1962), we propose a sampling plan for failure rate test when an item has normal or lognormal life distribution. We assume that the shape parameter is known while the location parameter is unknown.

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New Accelerated Life Test Plans for Weibull and Lognormal Lifetime Distributions (와이블과 대수정규 수명분포를 따를 때 새로운 가속수명시험 계획의 개발)

  • Seo, Sun-Keun
    • Journal of Applied Reliability
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    • v.14 no.3
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    • pp.182-190
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    • 2014
  • This paper presents new practical accelerated life test plans with different censoring times at three levels of stress for Weibull and lognormal lifetime distributions, respectively. The proposed plans are compared with the corresponding two-level statistically optimal plans and three-level compromise and practical plans. Computational results indicate that new practical plans have been more precise and effective than the existing three-level plans under a constraint of total testing time. In addition, a procedure to determine useful ALT plans is illustrated with a numerical example.

An Economic Design of Reliability Demonstration Test for Product with Lognormal lifetime distribution (수명이 대수정규분포를 따르는 제품에 대한 경제적인 신뢰성 입증시험 설계)

  • Kwon, Young-Il
    • Journal of Applied Reliability
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    • v.12 no.1
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    • pp.47-56
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    • 2012
  • Reliability demonstration tests with zero-failure acceptance criterion are most commonly used in the field of reliability application since they require fewer test samples and less test time compared to other test methods that guarantee the same reliability with a given confidence level. For products with lognormal lifetime distribution, an economic zero-failure test plan is developed that minimizes the total cost related to perform a life test to guarantee a specified reliability of a product with a given confidence level. A numerical example is provided to illustrate the use of the proposed test plan.

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.

Reliability Estimation of Series-Parallel Systems Using Component Failure Data (부품의 고장자료를 이용하여 직병렬 시스템의 신뢰도를 추정하는 방법)

  • Kim, Kyung-Mee O.
    • IE interfaces
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    • v.22 no.3
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    • pp.214-222
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    • 2009
  • In the early design stage, system reliability must be estimated from life testing data at the component level. Previously, a point estimate of system reliability was obtained from the unbiased estimate of the component reliability after assuming that the number of failed components for a given time followed a binomial distribution. For deriving the confidence interval of system reliability, either the lognormal distribution or the normal approximation of the binomial distribution was assumed for the estimator of system reliability. In this paper, a new estimator is used for the component level reliability, which is biased but has a smaller mean square error than the previous one. We propose to use the beta distribution rather than the lognormal or approximated normal distribution for developing the confidence interval of the system reliability. A numerical example based on Monte Carlo simulation illustrates advantages of the proposed approach over the previous approach.

Reliability Assessment of Anticorrosive Paints with Accelerated Degradation Test (가속열화시험에 의한 건축용 도료의 신뢰성 평가)

  • Kwon, Young-Il;Kim, Seung-Jin
    • Journal of Applied Reliability
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    • v.9 no.4
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    • pp.291-302
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    • 2009
  • Accelerated and field degradation tests are performed for reliability assessment of an anticorrosive paint for steel structures. Test data were analyzed to obtain the degradation model and the life time distributions of the paint. A power law degradation model and lognormal performance distribution were used to predict the lifetime of the anticorrosive paint and the method of finding an acceleration factor is provided.

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Reliability Analysis for Field Data following Lognormal Distribution after Warranty Period (보증기간을 고려한 대수정규분포를 따르는 시장자료의 신뢰성 분석)

  • 김종걸;최영진;정연승
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.299-311
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    • 2000
  • This paper is concerned with the method of estimating lifetime distribution for field data in warranty period and for a situation where some additional field data can be gathered after the warranty period. Implementing the proposed methods in this paper will result in obtaining the more precise product life time estimation and product improvement.

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Estimation of Insulation Life of PAI/Nano Silica Hybrid Coil by Accelerated Thermal Stress (가속된 열적 스트레스에 의한 PAI / Nano Silica 하이브리드 코일의 절연수명 추정)

  • Park, Jae-Jun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.68 no.1
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    • pp.52-60
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    • 2019
  • In this paper, four types of insulation coils were fabricated by adding various kinds of glycols to improve the flexibility and adhesion of insulating coils in varnish dispersed with PAI / Nano Silica_15wt%. The applied voltage and frequency were 1.5 kV / 20 kHz for accelerated life evaluation. Through the 6th temperature stress level, the cause of the insulation breakdown of the coil was ignored and only the breakdown time was measured. The Arrhenius model was chosen based on the theoretical relationship between chemical reaction rate and temperature for estimating the insulation life of the coil due to accelerated thermal stress. Three types of distributions (Weibull, Lognormal, Exponential) were selected as the relationship between thermal stress model and distribution. The average insulation lifetime was estimated under the temperature stress of four types of insulation coils through the relationship between one kind of model and three kinds of distributions.

The Diagnosis for Life Data in Accelerated Life Testing (가족수명시험에서의 수명데이타에 관한 진단)

  • Bae, Suk-Joo;Kang, Chang-Wook
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.29-43
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    • 1996
  • This paper identifies these data by the data diagnosis in lognormal distribution and presents the method to obtain exact parameter estimates and confidence intervals of regression line. The life-stress relationship uses Arrhenius model and life data generate Class-H insulation complete data by simulation. Also, the method to estimate parameters uses least squares estimation and externally Studentized residuals can be used as test statistics for identifing outliers. And influential cases are identified by Cook's distance. This research is intended to obtain the useful information for the life of products and test method, to save time and costs, and to help optimum accelerated life test plans.

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