质量控制界限及其优化  

Optimization of control limits of control charts in quality control

作　　者：陈德安[1] 唐万生[1] 李光泉[1] 

机构地区：[1]天津大学管理学院,天津300072

出　　处：《吉林大学学报（工学版）》2003年第3期92-95,共4页Journal of Jilin University:Engineering and Technology Edition

摘　　要：以x- R控制图为例,针对现行质量控制中以x-±3σ作为控制图控制界限的方法,通过分析控制图控制界限(Kσ)与两类错误(α和β)发生的概率及损失费用,提出了最优控制界限的观点。建立了两类错误损失费用的数学模型,给出了主要研究过程和最优控制界限(K)的算式。并通过实例对其优化结果和现行"x-±3σ"法的结果进行了比较和分析,说明了本文提出的方法的优化性。在此基础上,对其结果的一般性和优化性做了近一步的讨论和推广。Being aimed at the method which taken 'x-±3σ' as the control limits of control charts in quality control,took the x-R control charts for an example,a new opinion of the optical limits was pointed out through the analysis of the variation between the control limits of control charts (Kσ) and the probabilities as well as the costs of the two types of the errors (α and β).We established a mathematical model for its costs,gave out the major parts of the researching process and the optical formula for the control limits of control charts (K),and made a further discussion and extension for the generalization as well as the advantages of its results by the comparison with the results with x-±3σ method.

关 键 词：质量控制图 第一类错误(α) 控制界限 第二类错误(β) 

分 类 号：C931.1[经济管理—管理学]