應用主成份分析法於動態系統多重品質特性最佳化之研究

Abstract

田口方法已在業界實施多年，成效有目共睹，但隨著產品設計與生產流程的日益複雜，產品品質的良莠已非單一品質特性最佳化能滿足，往往需要同時考量到多重品質特性的同時最佳化，而田口方法僅能適用於單一品質特性最佳化的問題，因此有許多學者陸續提出解決的方法，然而這些方法大部份牽涉到複雜的數學模式，以致鮮少被工程人員應用於實務問題中；此外，為了使產品的設計與使用更具彈性，引入信號因子的動態系統已成為目前的趨勢，因此本研究的目的即是發展一套能有效解決動態系統多重品質特性同時最佳化問題的演算程序。 本研究提出的演算流程是根據田口方法的概念求算動態系統的指標，再利用多變量方法中的主成份分析法(Principal Component Analysis，PCA)與多目標決策法(Multiple Attribute Decision Making，MADM)中的理想解類似度順序偏好法(Technique for Order Preference by Similarity to Ideal Solution，TOPSIS)來整合多重品質特性最佳化的問題，以建構出一個簡單實用的方法。本研究最後以一個製備S-CHBE光學活性中間體的實驗為例，說明如何應用本研究所發展的動態系統多重品質特性同時最佳化的演算流程，並將其結果與其他解決動態多重品質特性問題的方法做一比較，以驗證本研究方法的有效性。

Taguchi method has been widely implemented in industry off-line quality control. Due to the increasing complexity of the product design, more than one quality characteristic must be considered simultaneously to improve the product quality. Since Taguchi method can only optimize one quality characteristic at one time, several optimization techniques for multi-response problems have been developed in recent years. However, these techniques are either troublesome for determining the proper weight for each response or too complicated for engineers to use in practice. In addition, most optimization techniques for multi-response problems are design for static systems only. Hence, optimizing multiple responses simultaneously in a dynamic system becomes an important issue. This study proposes a procedure which utilizing the dynamic system index of Taguchi method, the principal components analysis(PCA) and technique for order preference by similarity to ideal solution method(TOPSIS) in multiple attribute decision making(MADM) to optimize the multi-response problems in a dynamic system. The optimal factor level settings can be obtained easily and efficiently by the proposed procedure. Finally, the proposed procedure is illustrated by a biological reduction of ethly acetoacetate process experiment. A comparison between the proposed, the conventional and other ways of analyzing multi-response problems in a dynamic system are made to verify the effectiveness of the proposed method. 英文摘要...............................................................................................ii 目錄.......................................................................................................iii 圖目錄...................................................................................................iv 表目錄....................................................................................................v 第一章 緒論..........................................................................................1 1.1研究動機與目的..........................................................................1 1.2研究方法...................................................................................... 2 1.3研究架構...................................................................................... 2 第二章 文獻探討................................................................................ 3 2.1田口方法動態特性之簡介........................................................ 3 2.2多重品質特性最佳化之相關研究........................................... 4 2.2.1靜態系統多重品質特性最佳化之相關研究.................... 4 2.2.2動態系統多重品質特性最佳化之相關研究 .................... 6 2.3主成份分析法.............................................................................. 7 2.3.1主成份分析法的原理........................................................... 7 2.3.2變異圖......................................................................................8 2.4TOPSIS法.....................................................................................10 第三章 研究方法................................................................................13 第四章 實例分析................................................................................19 4.1製備S-CHBE光學活性中間體實驗之簡介............................19 4.2實驗規劃......................................................................................19 4.3資料分析......................................................................................22 第五章 結論.........................................................................................29 參考文獻...............................................................................................31