• Title/Summary/Keyword: Weibull parameters

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Derivation of Optimal Design Flood by L-Moments (L-모멘트법에 의한 적정 설계홍수량의 유도)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1998.10a
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    • pp.318-324
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme-value(GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the relative mean and relative absolute error. It was found that design floods derived by the method of L-moments using weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions in view of relative mean and relative absolute error.

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A Study on the Optimal Replacement Time of T-53 Engine (T-53엔진의 최적교체시기에 관한 연구)

  • Kim, Chung-Young;Goun, Jun
    • Korean Management Science Review
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    • v.15 no.2
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    • pp.143-152
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    • 1998
  • This paper focuses on the determining the optimal replacement interval and the corresponding minimum cost of replacement for the renewal T-53 engine. It is assumed that sample failure data of T-53 engine are drawn from the mixed population, and then parameters of the failure distributions are estimated. On the basis of the above situation, the Multi-step Weibull distributions are estimated and then the optimal replacement time of T-53 engine is determined. This paper shows that if the replacement time is reduced to 2000 hours, the 2,217won of the replacement cost per unit time is only saved but also reliability of the T-53 engine is increased.

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Joint Modeling of Death Times and Number of Failures for Repairable Systems using a Shared Frailty Model (공유환경효과를 고려한 수리가능한 시스템의 수명과 고장회수의 결합모형 개발)

  • 박희창;이석훈
    • Journal of Korean Society for Quality Management
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    • v.26 no.4
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    • pp.111-123
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    • 1998
  • We consider the problem of modeling count data where the observation period is determined by the life time of the system under study. We assume random effects or a frailty model to allow for a possible association between the death times and the counts. We assume that, given a random effect or a frailty, the death times follow a Weibull distribution with a hazard rate. For the counts, given a frailty, a Poisson process is assumed with the intensity depending on time. A gamma distribution is assumed for the frailty model. Maximum likelihood estimators of the model parameters are obtained. A model for the time to death and the number of failures system received is constructed and consequences of the model are examined.

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Comparative Studies on the Design Floods Derived by Different Methods for the Parameters of the Log Pearson Type III Distribution (Log Pearson Type III 분포 모형에 의한 매개변수 유도방법별 설계홍수량의 비교 고찰)

  • Lee Soon-hyuk;Jong Youn-su;Maeng Sung-jin;Ryoo Kyong-sik
    • KCID journal
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    • v.4 no.1
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    • pp.34-50
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    • 1997
  • This study was conducted to derive optimal design floods by Log Pearson Type III distribution model of the annual maximum series at five watersheds along Geum, Yeong San and Seom Jin river systems. Design floods obtained by different methods for evaluatio

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A Development of Educational Software for Power System Reliability Assessment (전력 공급신뢰도 평가를 위한 교육용 소프트웨어 개발)

  • Kim, Gwang Won
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.7
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    • pp.71-79
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    • 2015
  • This paper is on the development of computer software which can be utilized as a power system analysis tool for reliability assessment education. The input data of the developed software are so simple that even a non-expert easily understand how to use it. The software provides not only reliability indices but also their distributions, moreover, it provides the factors those effect the indices, which made the software even more useful for educational purpose. The developed software utilized Monte-carlo simulation based on the state duration sampling, therefore it can manage various probability distributions such as exponential, Weibull, gamma and lognormal distribution. Within the software, the parameters of the distribution can be decided automatically from its mean and variance, that is another advantage as an educational software.

Failure Prediction of the Generator Using a Combined Reliability Model of its Individual Components (발전기 구성요소의 신뢰도 모델 조합을 이용한 고장확률 예측)

  • Lee, Sung-Hoon;Byun, Yoong-Tae;Kim, Jin-O
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.372-374
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    • 2006
  • This paper presents a methodology to predict a failure probability related to the aging generating units in Korea power system. Each generator is represented by a combined reliability model of its individual components, which is determined by failure data. The Weibull distribution is used to calculate failure probability and its parameters are obtained from Type II Censoring. Consequently, the proposed methods would likely to permit utilities to reduce overall costs in the new deregulated environment.

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A Bayesian Approach to Replacement Policy with Extended Warranty (연장된 보증이 있는 교체정책에 대한 베이지안 접근)

  • Jung, Ki Mun
    • Journal of Applied Reliability
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    • v.13 no.4
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    • pp.229-239
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    • 2013
  • This paper reports a manner to use a Bayesian approach to derive the optimal replacement policy. In order to produce a system with minimal repair warranty, a replacement model with the extended warranty is considered. Within the warranty period, the failed system is minimally repaired by the manufacturer at no cost to the end-user. The failure time is assumed to follow a Weibull distribution with unknown parameters. The expected cost rate per unit time, from the end-user's viewpoints, is induced by the Bayesian approach, and the optimal replacement policy to minimize the cost rate is proposed. Finally, a numerical example illustrating to derive the optimal replacement policy based on the Bayesian approach is described.

Calculating Mean Life of Generators with Aging failures Data Using Data Analytic Method (통계적 분석 방법을 이용한 발전설비의 평균수명 계산)

  • Lee Sung Hoon;Lee Seung Hyuk;Kim Jin O;Jeon Dong Hoon;Kim Tae Kyun
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.464-466
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    • 2004
  • This paper proposes a method to consider an aging failure probability and survival probability of power system components unlike uses only aging failure probability in existing mean life calculation. The estimates of the mean and its standard deviation is calculated by using Weibull distribution and each estimated parameters is obtained from Data Analytic Method (Type II Censoring). The parameter estimation using Data Analytic Method is simpler and faster than a traditional calculation method. This paper shows how to calculate the mean life and its standard deviation by the proposed method and illustrates a exactness using real historical records of generator utilities in korea.

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A Study on ENHPP Software Reliability Growth Model based on Exponentiated Exponential Coverage Function (지수화 지수 커버리지 함수를 고려한 ENHPP 소프트웨어 신뢰성장 모형에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Information Technology
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    • v.10 no.2
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    • pp.47-64
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    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. Accurate predictions of software release times, and estimation of the reliability and availability of a software product require quantification of a critical element of the software testing process : test coverage. This model called enhanced non-homogeneous poission process(ENHPP). In this paper, exponential coverage and S-coverage model was reviewed, proposes the exponentiated exponential coverage reliability model, which maked out efficiency substituted for gamma and Weibull model(2 parameter shape illustrated by Gupta and Kundu(2001). In this analysis of software failure data, algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics for the sake of efficient model, was employed.

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A Bayesian Approach to Software Optima I Re lease Policy (소프트웨어 최적출하정책의 베이지안 접근방법)

  • 김희수;이애경
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.273-273
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    • 2002
  • In this paper, we investigate a software release policy with software reliability growth factor during the warranty period by assuming that the software reliability growth is assumed to occur after the testing phase with probability p and the software reliability growth is not assumed to occur after the testing phase with probability 1-p. The optimal release policy to minimize the expected total software cost is discussed. Numerical examples are shown to illustrate the results of the optimal policy. And we consider a Bayesian decision theoretic approach to determine an optimal software release policy. This approach enables us to update our uncertainty when determining optimal software release time, When the failure time is Weibull distribution with uncertain parameters, a bayesian approach is established. Finally, numerical examples are presented for illustrative propose.

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