類別製造過程的多變量指數加權移動平均監控計劃

Abstract

本文是發展一個方法去監控不同類別的資料。首先介紹 Dirichlet-多項式模型，根據該模型提出了類別製造過程的多變量 指數加權移動平均管制圖並研究其相關的特性。最後用模擬的資 料來說明這個方法的實用性與適用性。

This paper is to develop a method to monitor the fractions of the tested items falling into different categories of pass/fail modes. The Dirichlet-compound multinomial model is first introduced and then a multivariate exponentially weighted moving average control chart is proposed for a categorical manufacturing process under the proposed model. Some relevant properties of the proposed control chart are also investigated. Finally, a simulation study is presented to show the usefulness and applicability of the proposed methodology.