• Title/Summary/Keyword: Weibull parameters

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Influence Analysis of Sampling Points on Accuracy of Storage Reliability Estimation for One-shot Systems (원샷 시스템의 저장 신뢰성 추정 정확성에 대한 샘플링 시점의 영향 분석)

  • Chung, Yong H.;Oh, Bong S.;Lee, Hong C.;Park, Hee N.;Jang, Joong S.;Park, Sang C.
    • Journal of Applied Reliability
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    • v.16 no.1
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    • pp.32-40
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    • 2016
  • Purpose: The purpose of this study is to analyze the effect of sampling points on accuracy of storage reliability estimation for one-shot systems by assuming a weibull distribution as a storage reliability distribution. Also propose method for determining of sampling points for increase the accuracy of reliability estimation. Methods: Weibull distribution was divided into three sections for confirming the possible to estimate the parameters of the weibull distribution only some section's sample. Generate quantal response data for failure data. And performed parameter estimation with quantal response data. Results: If reduce sample point interval of 1 section, increase the accuracy of reliability estimation although sampling only section 1. Even reduce total number of sampling point, reducing sampling time interval of the 1 zone improve the accuracy of reliability estimation. Conclusion: Method to increase the accuracy of reliability estimation is increasing number of sampling and the sampling points. But apply this method to One-shot system is difficult because test cost of one-shot system is expensive. So propose method of accuracy of storage reliability estimation of one-shot system by adjustment of the sampling point. And by dividing the section it could reduce the total sampling point.

Analysis of Extreme Wave Conditions for Long-Term Wave Observation Data Considering Directionality (방향성을 고려한 장기 파랑관측자료의 극치파랑조건 분석)

  • Kim, Gunwoo
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.28 no.5
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    • pp.700-711
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    • 2022
  • In this study, deepwater design waves were estimated for 16 wave directions and various return periods based on statistical analysis of extreme waves observed for more than 20 years at three stations (Chilbal-do, Geomun-do, Donghae). These values were compared with design waves estimated based on the omni-directional wave data. The Weibull distribution was used as the probability distribution function whose parameters were determined by the least square method. The Kolmogorov-Smirnov test was applied for the goodness of fit test. Notably, the directional design waves were smaller than the omni-directional design wave for every wave direction. The maximum 50-year wave heights for directional sectors were 7.46 m (NNE), 12.05 m (S), and 9,59 m (SSW) at Chilbal-do, Geomun-do and Donghae whereas those for uni-directional wave data were 7.91 m, 13.82 m and 10.38 m, respectively. This implied possible under-estimation of the deepwater design waves for 16 wave directions being currently used in the design of offshore and coastal structures.

An Optimum Maintenance Policy : A bayesian approach to periodic incomplete preventive maintenance with minimal repair at failure

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1997.10a
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    • pp.193-196
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    • 1997
  • In this paper we consider a Bayesian theoretic approach to periodic incomplete preventive maintenance with minimal repair at failure. We assume that the system failure rate is increasing as the frequency of PM increases and that the system is replaced at the K-th PM under this maintenance strategy. The optimal policies which minimize the expected cost rates are discussed. We seek the optimal periodic PM interval x and replacement time K under a Weibull failure intensity. Assuming suitable prior distribution for the Weibull parameters, we derive the posterior distribution incorporating failure data and obtain the updated optimal replacement strategies.

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An Accelerated Life Test Sampling Plan for Bulk Material (벌크재료 가속시험샘플링검사방식설계)

  • Kim Jong-Geol;Kim Dong-Cheol
    • Proceedings of the Safety Management and Science Conference
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    • 2006.04a
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    • pp.411-419
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    • 2006
  • This paper aims at designing an accelerated life test sampling plan for bulk material and showing its application for an arc-welded gas pipe. It is an integrated model of the accelerated life test procedure and bulk sampling procedure. The accelerated life tests were performed by the regulation, RSD 0005 of ATS at KITECH and bulk sampling 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 statistic as well as satisfying consumer's risk under Weibull life time distribution with primary information on shape parameter.

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A Statistical. Properties of Tensile Behaviors of STS304 Stainless Steel at Elevated Temperature and the Acoustic Emission (STS304 스테인리스강의 고온 인장거동의 통계적 특성과 음향방출)

  • Kwak, Myung-Kyu;Kim, Seon-Jin
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.68-74
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    • 2002
  • The tensile tests to identify the statistical tensile properties and the acoustic emission characteristics were conducted for STS304 stainless steel at $600^{\circ}C,\;700^{\circ}C$. From tensile tests performed by constant cross head speed controls with 1mm/min, rates at each elevated temperature, the scatters were observed in tensile strength, reduction of area, elongation and the acoustic emission parameters. The effect of temperature on the scatter of tensile behavior was larger at $700^{\circ}C$. The distributions of tensile properties was well followed in 3-parameter Weibull. The AE counts and energy of the $700^{\circ}C$ specimens were smaller than the $600^{\circ}C$.

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Effects of Reactive Diluents on the Electrical Insulation Breakdown Strength and Mechanical Properties in an Epoxy System

  • Park, Jae-Jun
    • Transactions on Electrical and Electronic Materials
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    • v.14 no.4
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    • pp.199-202
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    • 2013
  • In order to study the effect of reactive diluents on the electrical insulation breakdown strength and mechanical properties of, a polyglycol and an aliphatic epoxy were individually introduced to an epoxy system. Reactive diluents were used in order to decrease the viscosity of the epoxy system; polyglycol acted as a flexibilizer and 1,4-butanediol diglycidyl ether (BDGE) acted as an aliphatic epoxy, which then acted as a chain extender after curing reaction. The ac electrical breakdown strength was estimated in sphere-to-sphere electrodes and the electrical breakdown strength was estimated by Weibull statistical analysis. The scale parameters of the electrical breakdown strengths for the epoxy resin, epoxy-polyglycol, and epoxy-BDGE were 45.0, 46.2, and 45.1 kV/mm, respectively. The flexural and tensile strengths for epoxy-BDGE were lower than those of the epoxy resin and those for epoxy-polyglycol were lower than those of the epoxy resin.

Optimizing Concurrent Spare Parts Inventory Levels for Warships Under Dynamic Conditions

  • Moon, Seongmin;Lee, Jinho
    • Industrial Engineering and Management Systems
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    • v.16 no.1
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    • pp.52-63
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    • 2017
  • The inventory level of concurrent spare parts (CSP) has a significant impact on the availability of a weapon system. A failure rate function might be of particular importance in deciding the CSP inventory level. We developed a CSP optimization model which provides a compromise between purchase costs and shortage costs on the basis of the Weibull and the exponential failure rate functions, assuming that a failure occurs according to the (non-) homogeneous Poisson process. Computational experiments using the data obtained from the Korean Navy identified that, throughout the initial provisioning period, the optimization model using the exponential failure rate tended to overestimate the optimal CSP level, leading to higher purchase costs than the one using the Weibull failure rate. A Pareto optimality was conducted to find an optimal combination of these two failure rate functions as input parameters to the model, and this provides a practical solution for logistics managers.

A Time Truncated Two-Stage Group Sampling Plan for Weibull Distribution

  • Aslam, Muhammad;Jun, Chi-Hyuck;Rasool, Mujahid;Ahmad, Munir
    • Communications for Statistical Applications and Methods
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    • v.17 no.1
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    • pp.89-98
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    • 2010
  • In this paper, a two-stage group sampling plan based on the time truncated life test is proposed for the Weibull distribution. The design parameters such as the number of groups and the acceptance number in each stage are determined by satisfying the producer's and consumer's risks simultaneously when the group size and the test duration are specified. The acceptable reliability level is expressed by the ratio of the true mean life to the specified life. It was demonstrated from the comparison with single-stage group sampling plans that the proposed plan can reduce the average sample number or improve the operating characteristics.

Breakdown characteristics with temperature variation on XLPE 6.9kV cable insulator at power plants (발전소 6.9kV급 XLPE 케이블 절연재의 온도에 따른 절연파괴 특성분석)

  • Park, Noh-Joon;Yang, Sang-Hyun;Lee, Ki-Joung;Kong, Tae-Sik;Kim, Hee-Dong;Park, Dae-Hee
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.79-79
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    • 2010
  • In this paper, we present results of the dielectric breakdown test in various 6.9kV power cables used in power plants. The dielectric strength of the different conditioned cables was measured by placing the sliced cable sections in silicone oil bath with needle electrode. The results were analyzed by the Weibull distribution. The shape and scale parameters of the Weibull distribution for each cable sections under test were calculated and evaluated. Collected data base was applied to deterioration trend analysis and lifetime guide was also proposed.

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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.