• Title/Summary/Keyword: 형상모수

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Reliability Analysis of Mechanical Component with Multiple Failure Modes (다수의 고장모드를 가지는 기계부품의 신뢰성 분석)

  • Chang, Mu Seong;Choi, Byung Oh;Kang, Bo Sik;Park, Jong Won;Lee, Choong Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1169-1174
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    • 2013
  • Most products are indeed governed by multiple failure modes. However, there are few cases in which reliability analysis applies to only one failure mode at a time. Furthermore, reliability data do not include information about failure modes, or the reliability analysis is performed using a representative failure mode. The Weibull shape parameter for failure modes is more important than one for products in the reliability qualification test. This paper presents reliability analysis methods for a mechanical component with multiple failure modes. These methods include the competing failure modes (CFM) method and the mixed Weibull method. Pneumatic cylinder test data with three failure modes are presented to estimate the shape parameter for each separate failure mode. In addition, reliability measures (B10 life, characteristic life) of the pneumatic cylinder considering three failure modes were compared with those assuming a single failure mode.

A Study of the Small Sample Warranty Data Analysis Using the Bayesian Approach (베이지안 기법을 이용한 소표본 보증데이터 분석 방법 연구)

  • Kim, Jong-Gurl;Sung, Ki-Woo;Song, Jung-Moo
    • Proceedings of the Safety Management and Science Conference
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    • 2013.04a
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    • pp.517-531
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    • 2013
  • 보증 데이터를 통해 제품의 수명 및 형상모수를 추정할 때 최우추정법과 같은 전통적인 통계 분석방법(Classical Statistical Method)을 많이 사용하였다. 그러나 전통적인 통계 분석방법을 통해 수명과 형상모수의 추정 시 표본의 크기가 작거나 불완전한 경우 추정량의 신뢰성이 떨어진다는 단점이 있고 또 누적된 경험과 과거자료를 충분히 이용하지 못하는 단점도 있다. 이러한 문제점을 해결하기 위해 모수의 사전분포를 가정하는 베이지안(Bayesian) 기법의 적용이 필요하다. 하지만 보증 데이터분석에 있어서 베이지안 기법을 이용한 연구는 아직 미흡한 실정이다. 본 연구에서는 수명분포가 와이블 분포를 갖는 보증데이터를 활용하여 모수 추정의 효율성을 비교 분석하고자 한다. 이를 위해 와이블 분포의 모수가 대수정규분포를 따르는 사전분포를 갖는 베이지안 기법과 전통적 통계기법인 생명표법(Actuarial method)을 활용하여 추정량을 도출하고 비교 분석하였다. 이를 통해 충분한 관측 데이터를 확보할 수 없는 경우에 베이지안 기법을 이용한 보증 데이터 분석방법의 성능을 확인하고자 한다.

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열전모듈의 가속수명시험과 고장분석을 통한 신뢰도 예측

  • 최형석;이태원;이영호;이명현;서원선
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.123-128
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    • 2004
  • 본 논문에서는 가속 수명 시험을 통하여 열전소자의 수명 분포, 모수 등을 규명하였으며 고장 분석을 통하여 열전 소자의 수명 증가를 위한 대책 방안을 논의하였다. 가속 수명 시험 결과 열전 소자는 형상 모수 3,6인 Weibull 분포를 따름을 알 수 있었다. 열전 소자가 반도체 부품임에도 불구하고 형상 모수가 큰 이유는 반복 Bending에 의한 피로 파괴가 발생하기 때문임을 고장 분석을 통하여 규명하였다. 위의 고장 메커니즘을 설명할 수 있는 가속 모델식은 Coffin-Manson식으로 설명되어 질 수 있으며 가속수명시험 결과 재료 상수는 1.8임을 알 수 있었다.

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Development and sensitivity analysis of weibull acceptance sampling plans under hybrid censoring (혼합 관측중단하에서 와이블 수명분포에 대한 신뢰도 합격판정 샘플링 계획의 개발)

  • 변은신;염봉진
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.04a
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    • pp.256-259
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    • 1996
  • 수명시험에서는 시험기간을 단축하기 위해 중도절단(consoring) 방법을 사용한다. 혼합 관측중단방법은 정시에 시험을 끝낼 수 있으며 고장시간을 관찰할 필요가 없다는 장점 때문에 널리 사용되고 있다. 본 논문에서는 제품의 수명이 와이블 분포를 따르고 형상모수를 알고 있다는 가정아래, 혼합 관측중단하에서 생산자 위험과 소비자 위험을 고려한 신뢰도 합격판정 샘플링 계획을 개발하였다. 아울러, 형상모수값에 개재된 불확실성이 실제 생산자 위험과 소비자 위험, 그리고 의사결정까지의 평균 고장개수에 미치는 영향을 민감도 분석을 통해 파악하였다.

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Subset Selection Procedures for Weibull Populations

  • Kim, U-Cheol;Choe, Ji-Hun;Kim, Dong-Gi
    • Journal of Korean Society for Quality Management
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    • v.11 no.2
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    • pp.18-24
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    • 1983
  • In this paper, subset selection procedures are proposed for selecting the Weibull population with the smallest scale parameter out of k Weibull populations with a common shape parameter. The proposed procedures are based on the maximum likelihood estimators. The constants to implement the procedures are tabulated using Monte Carlo methods. Also, the results of a comparison study are given.

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A Comparative Study for NHPP Software Reliability Model based on the Shape Parameter of Flexible Weibull Extension Distribution (유연한 와이블 확장분포의 형상모수를 이용한 NHPP 소프트웨어 신뢰성 모형에 관한 비교연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.9 no.2
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    • pp.141-147
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    • 2016
  • NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, infinite failures NHPP models that repairing software failure point in time reflects the situation, was presented for comparing property. Commonly used in the field of software reliability based on Flexible Weibull extension distribution software reliability of infinite failures was presented for comparison problem. The result is that a relatively small shaping parameter was effectively. The parameters estimation using maximum likelihood estimation was conducted and model selection was performed using the mean square error and the coefficient of determination.. In this research, software developers to identify software failure property follows shape parameter, some extent be able to help is considered.

A Study for NHPP Software Reliability Model of Lomax Distribution Based on Shape Parameter (Lomax 분포의 형상모수에 근거한 무한고장 NHPP 소프트웨어 신뢰성 모형에 관한 연구)

  • Kim, Hee-Cheul;Shin, Hyun Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.5
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    • pp.412-418
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    • 2015
  • NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, infinite failures NHPP models that repairing software failure point in time reflects the situation, was presented for comparing property. Commonly used in business, economics, and actuarial modeling based on Lomax distribution, software reliability of infinite failures was presented for comparison problem. The result is that a relatively large shape parameter was effectively. The parameters estimation using maximum likelihood estimation was conducted and Model selection was performed using the mean square error and the coefficient of determination. In this research, software developers to identify software failure property follows shape parameter, some extent be able to help is considered.

The Comparative Study of Software Optimal Release Time for the Distribution Based on Shape parameter (형상모수에 근거한 소프트웨어 최적방출시기에 관한 비교 연구)

  • Shin, Hyun-Cheul;Kim, Hee-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.14 no.8
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    • pp.1-9
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    • 2009
  • In this paper, make a study decision problem called an optimal release policies after testing a software system in development phase and transfer it to the user. When correcting or modifying the software, because of the possibility of introducing new faults when correcting or modifying the software, infinite failure non-homogeneous Poisson process models presented and propose an optimal release policies of the life distribution applied fixed shape parameter distribution which can capture the increasing/decreasing nature of the failure occurrence rate per fault. In this paper, discuss optimal software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, make out estimating software optimal release time

Runup Characteristics with the Variations of Wave Spectral Shape (파랑 스펙트럼 형상에 따른 처오름 특성)

  • Park, Seung Min;Yoon, Jong Tae;Jeong, Weon Mu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.26 no.6
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    • pp.381-387
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    • 2014
  • Recently the large-height swell-like waves generated in the eastern coast of South Korea have been observed frequently. The characteristics of the runup and overtopping of the large-height swell-like waves formed in deep water and attack the coast, causing damages to both lives and facilities have been studied. The correlation between spectral shape parameters and significant wave height has been investigated by analyzing long term wave spectrum data. Numerical runup experiments using MIKE21 BW Module were performed with $Q_p$, additional shape parameter, and identified the variations and characteristics of runup heights with respect to the variations of spectral shape.

The Effect of Shape Parameters in Designing Reliability Qualification Test for Weibull lifetime distribution (와이불수명분포를 갖는 제품의 신뢰성인증시험에서 형상모수의 영향분석)

  • Kwon, Young-Il
    • Journal of Applied Reliability
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    • v.11 no.3
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    • pp.225-234
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    • 2011
  • In the fields of reliability application, the most commonly used test methods for reliability qualification are zero-failure acceptance tests 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. Usually values of shape parameters are assumed to be known in designing reliability qualification tests for Weibull lifetime distribution. It is important to select correct values of shape parameters to guarantee the specified reliability with given confidence level exactly. The effect of using wrong values of shape parameters in designing reliability qualification test for products with Weibull lifetime distribution is examined and selecting proper values of shape parameters for conservative reliability qualification is discussed.