• 제목/요약/키워드: Weibull lifetime distribution

검색결과 105건 처리시간 0.018초

가속 열 노화시험에 의한 탄성받침용 합성고무의 수명 예측에 관한 연구 (Accelerated Heat Aging Test for Predicting Useful Lifetime of Elastomeric Rearing)

  • 박광화;박준형;이하영;권영일
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제4권2호
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    • pp.73-90
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    • 2004
  • We performed the heat aging test to predict the useful lifetime of Elastomeric Bearing Chloroprene Rubber (CR) used for supporting bridge. During the test, we measured elongation that are influenced by temperature and aging time. The failure of a test piece is defined as the point at which the elongation reaches to 75% of the initial value. This failure criterion is based on KS F 4420: 1998 (Elastomeric Bearing for bridge). Through the accelerated heat aging test, we found that the Arrhenius relationship and the Weibull lifetime distribution are appropriate as the life-temperature relationship and lifetime distribution of the CR, respectively. Using the Arrhenius -Weibull model, the parameters of the model are estimated and the lifetime of the CR at use condition is predicted.

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새로운 연령교체 방식의 개발 (On the New Age Replacement Policy)

  • 서순근
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제16권4호
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    • pp.280-286
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    • 2016
  • Purpose: Recently, Jiang defines the tradeoff B life to minimize a sum of life lost by preventive maintenance (PM) and corrective maintenance (CM) contribution parts and sets up an optimal replacement age of age replacement policy as this tradeoff life. In this paper, Jiang's model only considering the known lifetime distribution is extended by assigning different weights to two parts of PM and CM in order to reflect the practical maintenance situations in application. Methods: The new age replacement model is formulated and the meaning of a weight factor is expressed with the implied cost of failure under asymptotic expected cost model and also discussed with one-cycle expected cost criterion. Results: The proposed model is applied to Weibull and lognormal lifetime distributions and optimum PM replacement ages are derived with corresponding implied cost of failure. Conclusion: The new age replacement policy to escape the estimation of cost of failure in classical asymptotic expected cost criterion based on the renewal process is provided.

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

  • 서순근;이수진;조유희
    • 품질경영학회지
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    • 제34권3호
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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.

New generalized inverse Weibull distribution for lifetime modeling

  • Khan, Muhammad Shuaib;King, Robert
    • Communications for Statistical Applications and Methods
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    • 제23권2호
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    • pp.147-161
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    • 2016
  • This paper introduces the four parameter new generalized inverse Weibull distribution and investigates the potential usefulness of this model with application to reliability data from engineering studies. The new extended model has upside-down hazard rate function and provides an alternative to existing lifetime distributions. Various structural properties of the new distribution are derived that include explicit expressions for the moments, moment generating function, quantile function and the moments of order statistics. The estimation of model parameters are performed by the method of maximum likelihood and evaluate the performance of maximum likelihood estimation using simulation.

텅스텐 백열전구의 필라멘트 단선에 대한 가속수명시험 (An Accelerated Life Test for Burnout of Tungsten Filament of Incandescent Lamp)

  • 이재국;김진우;신재철;김명수
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2004년도 정기학술대회
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    • pp.129-137
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    • 2004
  • This paper presents an accelerated life test for burnout of tungsten filament of incandescent lamp. From failure analyses of field samples, it is shown that their root causes are local heating or hot sports in the filament caused by tungsten evaporation and wire sag. Finite element analysis is performed to evaluate the effect of vibration and impact for burnout, but any points of stress concentration or structural weakness are not found in the sample. To estimate the burnout life of lamp, an accelerated life test is planned by using quality function deployment and fractional factorial design, where voltage, vibration, and temperature are selected as accelerating variables. We assumed that Weibull lifetime distribution and a generalized linear model of life-stress relationship hold through goodness of fit test and test for common shape parameter of the distribution. Using accelerated life testing software, we estimated the common shape parameter of Weibull distribution, life-stress relationship, and accelerating factor.

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보급수준 인가일수에 따른 재고수준 산출에 관한 연구 (A Study on Inventory Control according to the Authorized Days for Supply Level)

  • 정해성
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제7권3호
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    • pp.119-126
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    • 2007
  • This paper deals with (s, S) spare part inventory model. Maintaining appropriate spare parts is one of the most important military affairs related to the readiness of military forces. In the problem under consideration, a military unit possesses n equipments and all the n equipments should be in operational readiness for the military purpose. The lifetime distribution of a part has been assumed to be exponential. This paper suggests the reorder point and order quantity under the assumption that the lifetime distribution of a part is weibull.

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sudden death 시험에 대한 고찰 (A Note on Sudden Death Tests)

  • 서순근
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제12권3호
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    • pp.139-152
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    • 2012
  • Successive and simultaneous sudden death tests are compared with the complete and Type II censored samples in terms of expected test duration and Total Time on Test(TTT) subject to the same number of failures in order to maintain the equal statistical precision under Weibull lifetime distribution with known shape parameter. Also, two sudden death tests under a proposed cost model are discussed and a numerical example is provided to illustrate the use of the proposed cost model.

베이지안 방법론을 적용한 154 kV 송전용 자기애자의 수명 평가 개발 (Lifetime Assessments on 154 kV Transmission Porcelain Insulators with a Bayesian Approach)

  • 최인혁;김태균;윤용범;이준신;김성욱
    • 한국전기전자재료학회논문지
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    • 제30권9호
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    • pp.551-557
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    • 2017
  • It is extremely important to improve methodologies for the lifetime assessment of porcelain insulators. While there has been a considerable amount of work regarding the phenomena of lifetime distributions, most of the studies assume that aging distributions follow the Weibull distribution. However, the true underlying distribution is unknown, giving rise to unrealistic inferences, such as parameter estimations. In this article, we review several distributions that are commonly used in reliability and survival analysis, such as the exponential, Weibull, log-normal, and gamma distributions. Some properties, including the characteristics of failure rates of these distributions, are presented. We use a Bayesian approach for model selection and parameter estimation procedures. A well-known measure, called the Bayes factor, is used to find the most plausible model among several contending models. The posterior mean can be used as a parameter estimate for unknown parameters, once a model with the highest posterior probability is selected. Extensive simulation studies are performed to demonstrate our methodologies.

22.9[kV] 지중배전용 전력케이블의 전기적 특성과 파괴수명 고찰 (The Consideration of Electrical Characteristics and Breakdown Lifetime in 22.9[kV] Underground Distribution Power Cables)

  • 김충배;홍경진;임장섭;정우성;김상준;김태성
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제48권9호
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    • pp.628-633
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    • 1999
  • Degradation diagnosis of XLPE insulated URD cables was accomplished through out new method, which was to be analyzed by non-electrical experiments and synthesized by degradation points. To supplement this method, It was also carried out using several electrical analyses. Tan$\delta$ had commonly a different tendency by means oftemperature and frequency and also appeared higher at the outer part rather than innerpart of insulator. PD-q increased generally in proportion to the applied voltage andshowed regular patterns in relation to the thickness of insulator. Breakdown voltageswere measured and breakdown lifetimes were predicted appling for Weibull distribution function. As a result, breakdown lifetime in failure cables was shorter up to$\fraction one-third$ times than that in general cables. It was very available to estimate cable degradation using above method, but it needs further study on XLPE insulated URD cables in order to improve reliability.

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열화특성치가 와이블분포를 따르는 경우 두 가지 스트레스 변수를 고려한 가속열화시험의 최적 설계 (Optimal Design of Accelerated Degradation Tests with Two Stress Variables in the Case that the Degradation Characteristic Follows Weibull Distribution)

  • 임헌상;김용수
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제13권2호
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    • pp.87-98
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    • 2013
  • Accelerated degradation tests (ADTs) measuring failure-related degradation characteristic at the accelerated condition are widely used to assess the reliability of highly reliable products. Often, however, little degradation could be observed even in single-stress ADTs due to the high reliability of test unit, and as a result poor estimate of the reliability may be obtained. ADTs with multiple stress variables can be employed to overcome such difficulties. In this paper, optimal ADT plans with two stress variables are developed assuming that the degradation characteristic follows Weibull distribution by determining the stress levels, the proportion of test units allocated to each stress level such that the asymptotic variance of the maximum likelihood estimator of the q-th quantile of the lifetime distribution at the use condition is minimized.