Integrated reliability assessment for Weibull distribution using varied environment data

Hong Dongpao; Ma Xiaobing; Zhao Yu

Volume 38 Issue 11

Nov. 2012

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Journal of Beijing University of Aeronautics and Astronautics > 2012 > (11): 1487-1491.

Shen Haifeng, Yuan Xiugan. Simulation experiment on air flow and heat transfer of fight plane’s cockpit[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(9): 1108-1112. (in Chinese)

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Hong Dongpao, Ma Xiaobing, Zhao Yuet al. Integrated reliability assessment for Weibull distribution using varied environment data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, (11): 1487-1491. (in Chinese)

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Integrated reliability assessment for Weibull distribution using varied environment data

1.
China Academy of Launch Vehicle Technology, Beijing 100076, China
2. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Received Date: 21 Jul 2011
Publish Date: 30 Nov 2012

Abstract

Abstract

To improve the stability and accuracy of the reliability assessment, a method of integrated reliability assessment for Weibull distribution was proposed using the varied environment test data. In this method, the location parameter and scale parameter were assumed respectively as a function of relevant environment variables. Then the location parameter function was constructed by the method of radial basis function while the scale parameter function was constructed by the linear model. Thus the influences of environment factors on the reliability of the product were measured quantificationally. With the generalized linear model, the maximum likelihood estimations of the coefficients were obtained, and corresponding arithmetic was put forward. With the estimations, the approximated confidence interval for the reliability function was obtained according to the normal law. The instance analysis shows that this integrated reliability assessment method improves the precision of reliability assessment and is straightforward for engineering application.
- reliability assessment,
- Weibull distribution,
- environment factor,
- radial basis function,
- generalized linear model

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References(14)

References

[1]	Wendai W,Dimitri B K.Fitting the Weibull log-linear model to accelerated life-test data [J].IEEE Transactions on Reliability,2000,49(2):217-223
[2]	李凤,师义民,荆源.两参数Weibull分布环境因子的Bayes估计[J].系统工程与电子技术,2008,30(1):186-189 Li Feng,Shi Yimin,Jing Yuan.Bayesian estimation for environmental factor of two parameter of Weibull distribution[J].Systems Engineering and Electronics,2008,30(1):186-189(in Chinese)
[3]	洪东跑,马小兵,赵宇,等.基于比例风险模型的环境折合系数确定方法[J].北京航空航天大学学报,2010,36(4):443-446 Hong Dongpao,Ma Xiaobing,Zhao Yu,et al.Environment referring factor based on proportional hazards model[J] Journal of Beijing University of Aeronautics and Astronautics,2010,36(4):443-446(in Chinese)
[4]	Nelson W.Accelerated testing:statistical models,test plans,and data analyzes [M].New York:John Wiley & Sons,1990
[5]	洪东跑,赵宇,马小兵.利用变环境试验数据的可靠性综合评估[J].北京航空航天大学学报,2009,35(9):1152-1155 Hong Dongpao,Zhao Yu,Ma Xiaobing.Integrated reliability assessment using varied environment test data [J].Journal of Beijing University of Aeronautics and Astronautics,2009,35(9):1152-1155(in Chinese)
[6]	Elsayed E A,Wang H Z.Bayes & classical estimation of environmental factors for the binomial distribution [J].IEEE Transactions on Reliability,1996,45(4):661-665
[7]	Mettas A.Modeling & analysis for multiple stress-type accelerated life data [C]//Proceedings Annual Reliability and Maintainability Symposium.Los Angeles:IEEE,2000:138-143
[8]	Chen C K.Temperature-dependent standard deviation of log (failure time) distributions [J].IEEE Transaction on Reliability,1991,40(2):157-160
[9]	Schwarz J A.Effect of temperature on the variance of the lognormal distribution of failure times due to electro migration damage [J].Journal of Applied Physics,1987,61:801-803
[10]	Meeter C A.Meeker W Q.Optimum accelerated life tests with a nonconstant scale parameter [J].Technometrics,1994,36(1):71-83
[11]	Buhmann M D.Radial basis functions [M].London:Cambridge University Press,2004
[12]	McLinn J A.New analysis methods of multilevel accelerated life tests [C]// IEEE Proceedings of Annual Reliability and Maintainability Symposium.Washington DC:IEEE,1999:38-42
[13]	Uusipaikka E.Confidence intervals in generalized regression models [M].Boca Raton:CRC Press,2009
[14]	Bagdonavicius V,Nikulin M.Accelerated life models modeling and statistical analysis [M].Boca Raton:Chapman & Hall/CRC,2002

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Integrated reliability assessment for Weibull distribution using varied environment data