Weibull分布更新函数的指数近似算法  

Applications of exponential-approximate method with multi-resolution in spare requirement determination

作　　者：刘天华[1] 张志华[1] 李大伟[1] 张光宇[1] 

机构地区：[1]海军工程大学兵器工程系,武汉430033

出　　处：《北京航空航天大学学报》2012年第6期816-818,822,共4页Journal of Beijing University of Aeronautics and Astronautics

基　　金：总装预研资助项目(51327020105;51304010206);海军工程大学博士生创新基金资助项目(HGBSJJ2011009)

摘　　要：针对Weibull分布的更新函数较难确定的问题,研究了在平均寿命相等情况下指数分布与Weibull分布之间的贴近性.在此基础上,提出利用指数分布的更新函数模型计算Weibull分布的更新函数,能够比较方便有效地得到近似解.通过实例计算,分别比较了指数方法(直接利用指数分布的更新函数)、线性加权模型以及几何加权模型等三种方法的精度.结果表明:当时间较短时,线性加权和几何加权模型比指数方法精确度有所提高;当时间较长时,几何加权模型的精度较高.利用该结论能够为工程应用提供方便.As to the fact that it is difficult to determine the renewal function （RF） of the Weibull distribution, the closeness between the two distributions with the same average life was studied. On this condition, the RF of exponential distribution was applied to compute that of the Weibull distribution, and the approximate solution would be gained expediently. Furthermore, the accuracy of the three methods was compared. That is, exponential method （The RF of the exponential） , linear weight model and geometrical weight model respec- tively. The result shows that compared with the exponential method, the precision of the two models are highly enhanced when the time is short; and the precision of the geometrical weight model is still high when time is long. This conclusion would provide convenience for the engineering.

关 键 词：更新函数 指数近似 线性加权 几何加权 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]