本研究是以Duncan(1956)X-bar管制圖經濟設計模式為基礎,發展一多重非 機遇原因假設之累積值管制圖經濟設計模式.並使用Nelder-Mead簡捷求 法,計算累積值管制圖各項決策變數之經濟組合,以供業界在建立累積值管 制圖時之參考.本研究所建立的經濟設計模式,藉由尋求樣本組大小,抽樣 間距,決策區域及檢查值上(下)限等決策變數之經濟組合以估算設立累積 值管制圖之成本,使管制圖符合經濟原則.並對所建立之模式進行分析,以 了解成本和風險參數對累積值管制圖之影響. The research is based on Duncan(1956) model to develop an economic design of Cusum chart when there is a multiplicity of assignale causes.The Nelder-Mead simplex prcedure is employed to choose an optimal or near-optimal combination of decision variables of Cusum charts. These decision variables are subgroup size,sampling interval,decision interval and upper( lower) values. In order to understand the effects of cost and risk parameters on the economic design,a sensitivity analysis is made for the model developed.
