X管制圖的經濟設計

Abstract

本文介紹如何建立一數學模式來代表—製程在X管制圖管制下的製程收益。假設某些成本和風險係數為已知，則最佳X管制圖可以由解數學模式，使其損失成本為低時而求得。因為沒有解析法可以直接解析其數學模式而得最佳之X管制圖，本文又介紹一種數值法以解最佳之管制圖，並應用假設之成本和風險係數對最佳X管制圖做敏感度分析，以了解不同成本與風險係數對不同管制圖參數的影響。

The paper introduce the economis model developed by Duncan to design the economically optimal X control charts,and the algorithm developed by Geol to solve the complex loss-cost equation.Assumed cost and risk factors were used to illustrate the effects of the variation of cost and risk factors on the optimal X control chart parameters.