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RESEARCH ON RELIABILITY GROWTH FOR SYNCHRONOUSLY DEVELOPED MULTI-SYSTEMS
作者姓名:马小宁  吕震宙  岳珠峰
作者单位:School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,P.R.China,School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,P.R.China,School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,P.R.China
基金项目:Project supported by the National Aeronautics Base Science Foundation of China (No. 00B53010), the National Astronautics Science Foundation of China (Nos. 2003CH0502 and N5CH0001) and the Shanxi Natural Science Foundation of Shanxi Province (No. 2003CS0501 )
摘    要:IntroductionAMSAA model could evaluate reliability growth test for mono-system perfectly1-8].Butfor multi-systems,especially for synchronously developed multi-systems,the model parametersneed to be estimated by developing some newmethods.AMSAA-BISE model…

关 键 词:AMSAA模型  可靠性增长  AMSAA-BISE模型  不均匀性  Poisson过程
文章编号:0253-4827(2005)09-1121-05
收稿时间:2003-10-14
修稿时间:2005-04-26

Research on reliability growth for synchronously developed multi-systems
Ma Xiao-ning,Lü Zhen-zhou,Yue Zhu-feng.RESEARCH ON RELIABILITY GROWTH FOR SYNCHRONOUSLY DEVELOPED MULTI-SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2005,26(9):1121-1125.
Authors:Ma Xiao-ning  Lü Zhen-zhou  Yue Zhu-feng
Institution:School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China
Abstract:An advanced reliability growth model, i.e. exponential model, was presented to estimate the model parameters for multi-systems, which was synchronously tested, synchronously censored, and synchronously improved. In the presented method, the data during the reliability growth process were taken into consideration sufficiently, including the failure numbers, safety numbers and failure time at each censored time. If the multi-systems were synchronously improved for many times, and the reliability growth of each system fitted AMSAA (Army Material Systems Analysis Activity) model, the failure time of each system could be considered rationally as an exponential distribution between two adjoining censored times. The nonparametric method was employed to obtain the reliability at each censored time of the synchronous multi-systems. The point estimations of the model parameters, a and b, were given by the least square method. The confidence interval for the parameter b was given as well. An engineering illustration was used to compare the result of the presented method with those of the available models. The result shows that the presented exponential growth model fits AMSAA-BISE (Army Material Systems Analysis Activity-Beijing Institute of Structure and Environment) model rather well, and two models are suitable to estimate the reliability growth for the synchronously developed multi-systems.
Keywords:reliability growth  AMSAA model  AMSAA-BISE model  non-homogeneity Poisson process  least square method
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