• Title/Summary/Keyword: Weibull distribution mean time to failure

Search Result 23, Processing Time 0.029 seconds

A Study on Failure Rate Extraction of Power Distribution System Equipment (배전기기 고장률 추출에 관한 연구)

  • Moon, Jong-Fil;Kim, Jae-Chul;Lee, Hee-Tae;Chu, Cheol-Min;Ahn, Jae-Min
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
    • /
    • 2007.05a
    • /
    • pp.366-368
    • /
    • 2007
  • In this paper, the Time-varying Failure Rate (TFR) of power distribution system equipment is extracted from the recorded failure data of Korea Electric Power Corporation (KEPCO). For TFR extraction, it is used that the fault data accumulated by KEPCO during 10 years. The TFR is approximated to bathtub curve using the exponential (random failure) and Weibull (aging failure) distribution function. In addition, Kaplan-Meier estimation is applied to TFR extraction because of incomplete failure data of KEPCO. Finally, Probability plot and regression analysis is applied. It is presented that the extracted TFR is more effective and useful than Mean Failure Rate (MFR) through the comparison between TFR and MFR.

  • PDF

Reliability Prediction of a Fuel Boost Pump using Statistical Methods (통계적 방법을 이용한 연료승압펌프의 신뢰도 예측)

  • Baek, Nak-Gon;Lee, Hyung-Ju;Lim, Jin-shik
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2010.11a
    • /
    • pp.143-148
    • /
    • 2010
  • A Statistical methods are used to determine the reliability of a Fuel Boost Pump for aviation. Failures are referenced from failure reports. The failure-free periods between successive failure events are evaluated in the form of weibull distribution. The results of analysis were calculated shape factor, scale parameter and mean time to failure. It found that the reason of failure is wear-out period.

  • PDF

A Vtub-Shaped Hazard Rate Function with Applications to System Safety

  • Pham, Hoang
    • International Journal of Reliability and Applications
    • /
    • v.3 no.1
    • /
    • pp.1-16
    • /
    • 2002
  • In reliability engineering, the bathtub-shaped hazard rates play an important role in survival analysis and many other applications as well. For the bathtub-shaped, initially the hazard rate decreases from a relatively high value due to manufacturing defects or infant mortality to a relatively stable middle useful life value and then slowly increases with the onset of old age or wear out. In this paper, we present a new two-parameter lifetime distribution function, called the Loglog distribution, with Vtub-shaped hazard rate function. We illustrate the usefulness of the new Vtub-shaped hazard rate function by evaluating the reliability of several helicopter parts based on the data obtained in the maintenance malfunction information reporting system database collected from October 1995 to September 1999. We develop the S-Plus add-in software tool, called Reliability and Safety Assessment (RSA), to calculate reliability measures include mean time to failure, mean residual function, and confidence Intervals of the two helicopter critical parts. We use the mean squared error to compare relative goodness of fit test of the distribution models include normal, lognormal, and Weibull within the two data sets. This research indicates that the result of the new Vtub-shaped hazard rate function is worth the extra function-complexity for a better relative fit. More application in broader validation of this conclusion is needed using other data sets for reliability modeling in a general industrial setting.

  • PDF

Study on Localized Corrosion Cracking of Alloy 600 using EN-DCPD Technique (EN-DCPD 방법을 이용한 Alloy 600 재료의 국부부식균열 연구)

  • Lee, Yeon-Ju;Kim, Sung-Woo;Kim, Hong-Pyo;Hwang, Seong-Sik
    • Corrosion Science and Technology
    • /
    • v.12 no.2
    • /
    • pp.93-101
    • /
    • 2013
  • The object of this work is to establish an electrochemical noise(EN) measurement technique combined with a direct current potential drop(DCPD) method for monitoring of localized corrosion cracking of nickel-based alloy, and to analyze its mechanism. The electrochemical current and potential noises were measured under various conditions of applied stress to a compact tension specimen in a simulated primary water chemistry of a pressurized water reactor. The amplitude and frequency of the EN signals were evaluated in both time and frequency domains based on a shot noise theory, and then quantitatively analyzed using statistical Weibull distribution function. From the spectral analysis, the effect of the current application in DCPD was found to be effectively excluded from the EN signals generated from the localized corrosion cracking. With the aid of a microstructural analysis, the relationship between EN signals and the localized corrosion cracking mechanism was investigated by comparing the shape parameter of Weibull distribution of a mean time-to-failure.

A Study on the Reliability Analysis for Smoke Detector using Dust (분진을 이용한 연기감지기 신뢰성 분석에 관한 연구)

  • Hong, Sung Ho;Choi, Moon Soo;Lee, Young Man
    • Journal of the Korean Society of Safety
    • /
    • v.28 no.6
    • /
    • pp.11-16
    • /
    • 2013
  • This paper presents a study on the analyzing reliability of smoke fire detector using accelerated life test. In general, the smoke fire detector is broken by dust which flow in smoke detection chamber. In order to conduct accelerated life test of smoke fire detector dust is set accelerated factor in this paper. The dust is fly-ash which is test particle 5th regulated by KS A 0090. The dust accelerated level is 60 g, 180 g and 360 g and failure time is measured by smoke sensitivity testing. It is considered to failure of detector if detector don't operate within 30 secconds when subjected to an air stream having a velocity of 20 cm/s~40 cm/s containing smoke with a concentration of 15% of rate of light-response of 1 m. The goodness of fit test and mean life prediction conduct using the failure time. The result show that life distribution fits the weibull distribution for failure time data and the mean lifes calculate 22.5 year in domestic product and 14.7 years in overseas product applied dust stress only.

A study for NHPP Software Reliability Model of the Weibull Extension Model Based on Generalized Order Statistics (일반화 통계량에 의존한 와이블 확장모형을 이용한 NHPP 소프트웨어 신뢰성 모형에 관한 연구)

  • Yang, Tae-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
    • /
    • v.8 no.5
    • /
    • pp.339-344
    • /
    • 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 the field of software reliability based on Weibull extension 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 Study for Software Future Forecasting Failure Time Using ARIMA AR(1) (ARIMA AR(1) 모형을 이용한 소프트웨어 미래 고장 시간 예측에 관한 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • Convergence Security Journal
    • /
    • v.8 no.2
    • /
    • pp.35-40
    • /
    • 2008
  • Software failure time presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing. For data analysis of software reliability model, data scale tools of trend analysis are developed. The methods of trend analysis are arithmetic mean test and Laplace trend test. Trend analysis only offer information of outline content. In this paper, we discuss forecasting failure time case of failure time censoring. The used software failure time data for forecasting failure time is random number of Weibull distribution(shaper parameter 1, scale parameter 0.5), Using this data, we are proposed to ARIMA(AR(1)) and simulation method for forecasting failure time. The practical ARIMA method is presented.

  • PDF

Comparisons of Empirical Bayes Approaches to Censored Accelerated Lifetime Data (가속수명자료에 대향 경험적 베이즈 비료연구)

  • Cho, Geon-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.8 no.2
    • /
    • pp.183-194
    • /
    • 1997
  • In accelerated life tests, the failure time of an item is observed under a high stress level and based on the time, the failure rates of items we estimated at the normal stress level. In this paper, when the mean of the prior distribution of a parameter is known in Weibull lifetime model with censored failure time data, we study various estimating methods to obtain the empirical Bayes estimator of a parameter from the empirical Bayes approach under the normal stress level by considering the fact that the Bayes estimator is the function of prior parameters and of the acceleration parameter representing the effect of acceleration. And we compare the performance of several empirical Bayes estimators of a parameter in terms of the Bayes risk.

  • PDF

Three Types of Inspection-Ordering Policies with Lead Times (인도기간(引導期間)을 갖는 세가지 형태(形態)의 검사(檢査).주문정책(注文政策))

  • Lee, Chang-Hun;Kim, Ho-Gyun
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.7 no.1
    • /
    • pp.13-20
    • /
    • 1981
  • Three inspection-ordering policies of a part with three types of lead times, i. e., expedited lead time, special lead time and regular lead time are considered. Policy I : The original part is replaced by a spare immediately after delivery, even if the original part is still operating. Policy II : The delivered spare is put into inventory until the original part failes. Policy III : The original part is inspected once again immediately after the delivery of the spare. If it is in a good state, the original part is used up to its mean degradation time, then replaced. If it is in a degradation state, the original part is replaced by a spare. A cost effectiveness for each policy is analyzed. Optimal inspection-ordering policy which maximizes a cost effectiveness is obtained. Time to degradation distribution and time to failure distribution are assumed to be Weibull and exponential, respectively. Variations of policies are observed with respect to variations of associated costs.

  • PDF

A Study on Accelerated Life Test of Halogen Lamps for Medical Device (의료용 할로겐램프의 가속수명시험에 관한 연구)

  • Jung, Jae Han;Kim, Myung Soo;Lim, Heonsang;Kim, Yong Soo
    • Journal of Korean Society for Quality Management
    • /
    • v.41 no.4
    • /
    • pp.659-672
    • /
    • 2013
  • Purpose: The purpose of this study was to estimate life time of halogen lamps and acceleration factors using accelerated life test. Methods: Voltage was selected as an accelerating variable through the technical review about failure mechanism. The test was performed at 14.5V, 15.5V and 16.5 for 4,471 hours. It was assumed that the lifetime of Halogen lamps follow Weibull distribution and the inverse power life-stress relationship models. Results: Mean lifetimes of pin and screw types were 19,477 hours and 6,056 hours, respectively. In addition, acceleration factor of two items are calculated as 4.8 and 2.2 based on 15.5V, respectively. Conclusion: The life-stress relationship, acceleration factor, and MTTF at design condition are estimated by analyzing the accelerated life test data. These results suggest that voltage was very important factor to accelerate life time in the case of halogen lamps and the life time of pin type is three times longer than screw type lamps.