(x^^-,s)同時管理図の設計法に関する研究 : 多重決定方式に基づく同時管理図に関する研究(第1報)

概要

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Let a random variable X, which indicates a control characteristic of a process, be distributed as N(μ, σ^2) and the two parameters, μ and σ, take the values of μ_c and σ_c in a controlled state. If a point that is out of control limit is found in a control chart, we need to practically distinguish the following types of change in the process : (1) Which parameter gets out of control ? a) μ only does. b) σ only does. c) Both of μ and σ do. (2) Does the parameter increase or decrease compared with the controlled value (μ_c or σ_c) ? a) It increases beyond the controlled value (μ_c or σ_c). b) It decreases less than the controlled value ((μ_c or σ_c). Usually a pair of control charts such as x^^--R charts and x^^--s charts are originally expected to distinguish the types of change mentioned above. However, these control charts cannot necessarily do so, because each control chart is designed as a both-sided test for each parameter of μ and σ, respectively. In this paper, a simultaneous control chart for multiple decision about μ and σ is proposed, for the purpose of distinguishing these types of change in a process.
社団法人日本品質管理学会の論文
1987-04-15