基于Lambert W函数的装备经济寿命分析

发布时间：2018-03-06 12:51

本文选题：Lambert　切入点：W函数　出处：《系统工程与电子技术》2016年04期 　论文类型：期刊论文

【摘要】：为改进现有装备经济寿命模型求解时计算量大、不便于分析等缺点,提出了一种新的装备经济寿命确定方法。首先通过Lambert W函数求解出装备经济寿命的精确计算解析式,其次采用多项式拟合、有理拟合对Lambert W函数进行精确估算,并将结果与Lambert W函数近似解和精确解进行比较,在此基础上得出了装备经济寿命的精确估算公式。实验表明,估算公式是一个分段函数形式,对经济寿命的估算精度可控制在±1年。该方法与传统的列表法相比,不仅具有直观性,利于掌握和计算,同时便于进一步分析经济寿命的影响因素和变化规律。
[Abstract]:In order to improve the existing equipment economic life model, a new method for determining the equipment economic life is put forward in order to solve the problems such as large amount of calculation and inconvenient analysis. Firstly, the exact calculating analytical formula of the equipment economic life is solved by Lambert W function. Secondly, the polynomial fitting and rational fitting are used to estimate the Lambert W function accurately, and the results are compared with the approximate solution and the exact solution of Lambert W function. On this basis, the accurate estimation formula of the equipment economic life is obtained. The estimation formula is a piecewise function form, and the precision of estimating economic life can be controlled within 卤1 year. Compared with the traditional list method, this method is not only intuitive, but also easy to grasp and calculate. At the same time, it is convenient to further analyze the influencing factors and changing rules of economic life.
【作者单位】：空军工程大学装备管理与安全工程学院;
【分类号】：F407.4;TB114.3

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