测量检验中的误收、误废和损失函数分析

在对产品进行测量检验时，误差总是不可避免的，因此经常会发生误收和误废。误收会对产品的质量产生不良影响；误废则造成经济损失。合理控制误收和误废，对于产品质量的可靠性和制造的经济性是很重要的。通过对损失函数泰勒展开式的分析，可知由测量误差所造成的质量或成本损失Ｌ（ｘ）是方差α＾２的函数。本文针对田口玄一先生在公式Ｌ（ｘ）= ｋα＾２中求解ｋ值方法，提出了探讨意见，并采用损失函数的计算及成本的核算对不同的测量方法进行了优劣比较。

Discussion on Misacceptance,Misabandonment and Loss Function in Measurement

Because of the error in the measurement, there are misacceptance and misabandonment to the workpiece. The former impairs the quality of the part s, while the latter makes the production uneconomical. It is vital to cont rol both of them in a g iven limited area. By w ay of the analyzing the Taylor expanded formula of Loss function, we know that the loss of the quality or cost L ( x ) caused by measurement error is a funct ion of mean square α＾２. This paper gives an opinion on the calculating of the value of k in the equat ion Ｌ（ｘ）= ｋα＾２, which is not the same w ith Mr. Takuchi, who is a famous Japanese scient ist . Another aim of the paper is to compare the dif ferent measuring methods through the loss function and the cost accounting .