一個有效且有力的檢定對於單邊製程規格的供應商選擇問題

Abstract

這篇論文主要考慮選擇供應商的問題，在兩家供應商中，以單邊規格為製程能力標準選擇具有較高製程能力的廠商。本文一開始會先回顧三個針對此類問題的方法，其中兩種為大樣本時的逼近方法，另一個則是由Pearn et al. （2009）所提出之精準方法，稱為Division method。在此篇論文中，我們將提出一個新的精準方法，在此稱為Subtraction method。我們會以正確選取檢定力來比較這兩種excat方法。結果顯示，我們所提出的Subtraction method相較於Division method來看，具有較佳的檢定力。而為了實際上的應用，也提出了兩步驟（two-phase）的選擇過程。且為使業界能方便的使用，一些計算上的結果也將以列表之方式呈現。

In this paper, we consider the supplier selection problem, which deals with comparing two one-sided processes and selecting a better one that has a higher capability. We first review two existing approximation approaches, and an exact approach proposed by Pearn et al. (2009) which we refer to as the Division method. We then develop a new exact approach called the Subtraction method. We compare the two exact methods on the selection power. The results show that the proposed Subtraction method is indeed more powerful than the Division method. A two-phase selecting procedure is developed for practical applications. Some computational results are tabulated for practitioners’ conveniences.