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K/n(G)系统可靠性评定的多源验前信息融合方法
引用本文:黄藏红,李生刚,师义民,柴建.K/n(G)系统可靠性评定的多源验前信息融合方法[J].数学的实践与认识,2010,40(2).
作者姓名:黄藏红  李生刚  师义民  柴建
作者单位:1. 陕西师范大学数学与信息科学学院,陕西,西安,710062;洛阳师范学院数学科学学院,河南,洛阳,471022
2. 陕西师范大学数学与信息科学学院,陕西,西安,710062
3. 西北工业大学应用数学系,陕西,西安,710072
基金项目:国家自然科学基金(70471057); 陕西省教育厅自然科学基金(03Jk065); 西北工业大学种子基金(Z200569)
摘    要:在多源验前信息的情况下,以k/n(G)系统为例,讨论了如何对系统的可靠性指标进行估计的问题.在多个验前信息源给出了系统可靠性指标点估计的情况下,利用多层Bayes方法及经验Bayes方法对这些数据进行融合,并给出系统可靠性指标的Bayes点估计,同时对系统可靠度的置信区间也作了讨论.仿真算例表明这种处理方法是合理有效的.

关 键 词:可靠性  信息融合  Bayes  多源验前信息  K/n(G)系统

Information Fusion Method in Multi-sources of Prior Information and Application in Reliability Analysis of K/n(G) System
HUANG Zang-Hong,LI Sheng-Gang,SHI Yi-Min,CHAI Jian.Information Fusion Method in Multi-sources of Prior Information and Application in Reliability Analysis of K/n(G) System[J].Mathematics in Practice and Theory,2010,40(2).
Authors:HUANG Zang-Hong  LI Sheng-Gang  SHI Yi-Min  CHAI Jian
Institution:HUANG Zang-Hong~(1,2),LI Sheng-Gang~1,SHI Yi-Min~3,CHAI Jian~3 (1.College of Mathematics , Information Science,Shan Xi Normal University,Xi\'an 710062,China) (2.Department of Mathematics,LuoYang Normal University,Luo Yang 471022,China) (3.Department of Applied Mathematics,Northwestern Poliyechnicle University,Xi\'An 710072,China)
Abstract:In this paper we discuss the estimation of the system reliability in multi-sources of prior information,and for the case of the k/n(G) system product.First,when the estimation of the mean life of the system and the estimation of the reliability of the system can obtain from the multi-sources of prior information,we give two fusion methods that the Hierarchical Bayes method and the EB method for these data and attain the estimation of the system reliability and also discuses the confidence interval.Finally,t...
Keywords:reliability  information fusion  Bayes  multi-sources of prior information  k/n(G)system  
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