(x^^-,R)同時管理図の設計とその応用 : 多重決定方式に基づく同時管理図に関する研究(第2報)

概要

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In this paper , the design of a (x^^-, R) simultaneous control chart is proposed. It is derived from the multiple decision theory by applying the same method as the (x^^-, s) simultaneous control chart proposed in the previous paper^<15)>. The probability of the first kind of error and the power of the test using this chart are calculated by the Monte-Carlo method and it is ascertained that the probability of the first kind of error and the power of this (x^^-, R) chart are very similar to those of the (x^^-, s) chart as shown in the previous paper^<15)>. Then it is discussed that this (x^^-, R) chart is practically useful together with x^^--R charts. Using this (x^^-, R) chart together with x^^--R charts in practical process control, we can detect the change in the state of process with higher probability than using x^^-R charts only. This (x^^-, R) chart provides a useful information about the change in the state of a process when the out-of-control point appears in the chart.
社団法人日本品質管理学会の論文
1987-07-15