质量控制界限及其优化

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。

Optimization of control limits of control charts in quality control

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.