• Title/Summary/Keyword: 수명분포추정

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A Study of Estimating Maintenance Cost of NAVAID (시계열을 이용한 항행안전시설 유지비용 추정 연구)

  • Gang, U-Jeong;Lee, Geun-Yeong
    • 한국항공운항학회:학술대회논문집
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    • 2016.05a
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    • pp.136-141
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    • 2016
  • 본 논문에서는 항행안전시설을 구성하는 구성요소를 체계별로 구분하고 체계별 운영시간 에 따른 고장율 등을 분석한다. 아울러 설계수명에 점차 도달한 항행안전시설 운영단계에서 발생한 유지보수비용 데이터를 토대로 남은 설계수명 기간 동안 향후 발생 가능한 유지보수 비용을 추정한다. 이런 분석결과를 통해 장비의 신뢰성 관련 선행연구들에서 주로 인용되고 있는 욕조커브(Bathtub Curve) 이론과 본 연구의 비용예측 결과와의 연관성을 진단하고 안정적인 유지보수를 위한 기초자료로서 활용되고자 한다. ARIMA 예측모형을 토대로 향후 10개월 간 발생가능한 유지보수 비용을 예측한 결과 비용이 상승할 것이라는 통계적으로 신뢰할 만한 추정 결과를 얻었다. ARIMA를 활용한 추정결과는 앞선 MTBF 분석내용을 지지함과 동시에 시설의 정비 신뢰도를 보여주는 욕조커브 분포와 일치하는 신뢰할 수 있는 결론을 얻은 것이다.

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Accelerated life testing data analysis using the model incorporating the random environmental effect (환경 효과를 포함한 가속수명검사 모형을 이용한 추론)

  • 이석훈;박희창;강현희
    • The Korean Journal of Applied Statistics
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    • v.9 no.2
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    • pp.119-134
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    • 1996
  • Accelerated life testing (ALT) of a system is commonly used to reduce time and cost. ALT is achieved by subjecting the test systems to more severe conditions than the normal ones to obtain estimates of life distribution under normal condition. The major interest of this research is to use a model of incorporating the common environmental effect on the components serially linked into a system-so called frailty model for the system life time distribution under each stress and to discuss the related data analysis and comparison of the model with the generally used one. The profile likelihood is used to get an initial values required to compute maximum likelihood estimates and simulation is carried for comparison.

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Probabilistic Approach for Fatigue Life of Composite Materials with Impact-Induced Damage (충격손상 복합재료의 피로수명에 대한 통계적 해석 연구)

  • Kang, Ki-Weon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.9
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    • pp.3148-3154
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    • 2010
  • This paper presents the probabilistic analysis for fatigue life of Glass/Epoxy laminates with impact-induced damage. For this, a series of impact tests were perfomed on the Glass/Epoxy laminates using instrumented impact testing machine. Then, tensile and fatigue tests carried out so as to generate post-impact residual strength and fatigue life. Two Parameter Weibull distribution was used to fit the residual strength and fatigue life data of Glass/Epoxy composite laminates. The residual strength was affected by impact energy and their variance decreased with increasing of impact energy. The fatigue life of impacted laminates was greatly reduced by impact energy and this trend depended on applied stress amplitude. Additionally, the variation of fatigue life was gradually decreased with the applied stress amplitude.

A Study on the Reliability Attributes of the Software Reliability Model Following the Shape Parameter of Minimax Life Distribution (미니맥스 수명분포의 형상모수를 따르는 소프트웨어 신뢰모형에 관한 신뢰속성에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.4
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    • pp.325-330
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    • 2018
  • This paper, following the shape parameters of the minimax distribution, describes the special form of the beta distribution, the Minimax distribution, as a function of the shape parameters for the software reliability model based on the non-homogeneous Poisson process. Characteristics and usefulness were discussed. As a result, the case of the shape parameter 1 of Minimax distribution than less than and greate in mean squared error is the smallest, in determination coefficient, appears to be high, the shape parameter 1 of Minimax distribution regard as an efficient model. The estimated determination coefficient of the proposed model is estimated to be more than 95%, which is a useful model in the field of software reliability. Through this study, software design and users can identify the software failure characteristics using mean square error, decision coefficient, and confidence interval can be used as a basic guideline.

Field data analyses for repairable products (수리가능한 제품의 사용현장 데이터 분석)

  • 배도선;윤형제;최인수
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.133-145
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    • 1995
  • This paper is concerned with the method of estimating lifetime distribution from field data for repairable products with multiple modes of failure, and is an extension of Bai et al.(1995). The log linear function is considered as a model for describing the relation between failure time of a product and covariates. Using the nonhomogeneous poisson process, general methods for obtaining pseudo maximum likelihood estimators(PMLEs) for the parameters are outlined and specific formulas for Weibull distribution are obtained. Effects of follow-up percentage on the PMLEs are investigated. Extension to case-cohort design is also considered.

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The influence of the random censorship model on the estimation of the scale parameter of the exponential distribution (중도절단모형이 지수분포의 척도모수추정에 미치는 영향)

  • Kim, Namhyun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.393-402
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    • 2014
  • The simplest and the most important distribution in survival analysis is the exponential distribution. In this paper, we investigate the influence of the random censorship model on the estimation of the scale parameter of the exponential distribution. The considered random censorship models are Koziol-Green model and the generalized exponential distribution model. Two models have different meanings. Through the simulation study, the averages of the estimated values of the parameter do not show big differences, however the MSE of the estimator tends to be bigger when the supposed model is significantly different from the true model.

A Study on the Fatigue Strength and Life Distribution of Carbon Steel Using the Database System (데이터베이스 시스템을 이용한 탄소강의 피로강도 및 수명분포)

  • Kim, Jung Kyu;Moon, Joon Ho;Kim, Do Sik
    • Journal of Korean Society of Steel Construction
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    • v.10 no.1 s.34
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    • pp.37-45
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    • 1998
  • The relational database system on fatigue strength was constructed, and the properties of fatigue life distribution were examined to analyze reliability and safety of metallic materials. Data manipulations were efficiently performed in relational fatigue strength database system using dependency diagram. Regardless of the distribution of fatigue strength, the proposed method, the Robust method and the complementary error function method using probability distribution, successfully estimated parameters of the 3-parameter Weibull distribution. The proposed criterion for estimating non-failure probability showed good results regardless of censoring time. The fatigue life distribution function described as a function of parameters of the Weibull distribution and applied stress ratio produced P-S-N characteristics reasonably.

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Simplified Method for Estimation of Mean Residual Life of Rubble-mound Breakwaters (경사제의 평균 잔류수명 추정을 위한 간편법)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.2
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    • pp.37-45
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    • 2022
  • A simplified model using the lifetime distribution has been presented to estimate the Mean Residual Life (MRL) of rubble-mound breakwaters, which is not like a stochastic process model based on time-dependent history data to the cumulative damage progress of rubble-mound breakwaters. The parameters involved in the lifetime distribution can be easily estimated by using the upper and lower limits of lifetime and their likelihood that made a judgement by several experts taking account of the initial design lifetime, the past sequences of loads, and others. The simplified model presented in this paper has been applied to the rubble-mound breakwater with TTP armor layer. Wiener Process (WP)-based stochastic model also has been applied together with Monte-Carlo Simulation (MCS) technique to the breakwater of the same condition having time-dependent cumulative damage to TTP armor layer. From the comparison of lifetime distribution obtained from each models including Mean Time To Failure (MTTF), it has found that the lifetime distributions of rubble-mound breakwater can be very satisfactorily fitted by log-normal distribution for all types of cumulative damage progresses, such as exponential, linear, and logarithmic deterioration which are feasible in the real situations. Finally, the MRL of rubble-mound breakwaters estimated by the simplified model presented in this paper have been compared with those by WP stochastic process. It can be shown that results of the presented simplified model have been identical with those of WP stochastic process until any ages in the range of MTT F regardless of the deterioration types. However, a little of differences have been seen at the ages in the neighborhood of MTTF, specially, for the linear and logarithmic deterioration of cumulative damages. For the accurate estimation of MRL of harbor structures, it may be desirable that the stochastic processes should be used to consider properly time-dependent uncertainties of damage deterioration. Nevertheless, the simplified model presented in this paper can be useful in the building of the MRL-based preventive maintenance planning for several kinds of harbor structures, because of which is not needed time-dependent history data about the damage deterioration of structures as mentioned above.

A Study on Software Reliability using kappa(2) Distribution (kappa(2)분포를 이용한 소프트웨어 성장모형에 관한 연구)

  • Kim, Hee-Cheul;Lee, Sang-Sik
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.361-364
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    • 2005
  • 본 논문에서는 순서 통계량을 이용한 유한 고장 NHPP 모형들이 제안되었다. 이 모형들은 결함당 고장발생률이 단조 증가하거나 단조 감소하는 패턴을 가진다. 그리고 수명 분포에서는 기존의 모형들과 비교하고 kappa(2) 분포를 이용한 소프트웨어 신뢰성 모형을 제안하여 이 모형의 특성과 효율성에 대하여 제시하였다. 고장 간격 시간 자료를 이용한 무한고장 NHPP 모형들에 대한 모수 추정은 최우 추정법을 사용하였고 적용 분포들의 적용을 용이하게 하기 위하여 특수한 형태를 제시하였다. 실제고장 자료를 이용한 자료분석에서는 편차자승합을 이용한 모형 선택과 적합도 및 치우침 검정을 실시하여 그 결과를 나열 하였다.

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A Study on Attribute Analysis of Software Development Cost Model about Life Distribution Considering Shape Parameter of Weibull Distribution (수명분포가 와이블 분포의 형상모수를 고려한 소프트웨어 개발 비용모형에 관한 속성분석 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.6
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    • pp.645-650
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    • 2018
  • Software stability is the possibility of operating without any malfunction in the operating environment over time. In a finite failure NHPP for software failure analysis, the failure occurrence rate may be constant, monotonically increasing, or monotonically decreasing. In this study, based on the NHPP model and based on the software failure time data, we compared and analyzed the attributes of the software development cost model using the exponential distribution Rayleigh distribution and inverse exponential distribution considering the shape parameter of the Weibull distribution as the life distribution. The results of this study show that the Rayleigh model is the fastest release time and has the economic cost compared to the inverse-exponential model and the Goel-Okumoto model. Using the results of this study, it can be expected that software developers and operators will be able to predict the optimal release time and economic development cost.