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研究生: 林宜萱
YI-HSUAN LIN
論文名稱: 應用雙反應曲面法於最佳參數設計之研究
A Study of Parameter Design Using Dual Response Surface Method
指導教授: 葉瑞徽
Ruey Huei Yeh
口試委員: 謝光進
Kong-King shieh
紀佳芬
Chia-Fen Chi
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業管理系
Department of Industrial Management
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 53
中文關鍵詞: 信號雜訊比田口方法雙反應曲面法
外文關鍵詞: signal-to-noise ratio, Taguchi method, dual response surface method
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  • 田口方法(Taguchi Method)是以產品品質特性的平均值與變異數合併的信號雜訊比(signal-to-noise ratio)作為衡量產品品質優劣的指標,利用此指標找出最佳的因子水準組合。然而,此指標缺乏較精確的演算程序,造成信號雜訊比的使用在統計學界較具有爭議性。本研究將產品品質特性的平均值與變異數視為兩個反應值,構成兩個反應曲面系統,使用雙反應曲面法(Dual Response Surface Method)發展出一套實用的分析程序,最後,以一個實例研究分別以田口方法與本研究提出的分析程序作比較,驗證本研究所提出的雙反應曲面法之最佳化參數設計流程確實有效可行。


    Taguchi method uses signal-to-noise ratio which combines the mean and the variance of the quality characteristic of a product as an index to evaluate the quality of products and utilizes this index to find out the optimal combination of factor levels. However, lack of accuracy in the procedure of making mathematical calculations on this index causes a dispute about using signal-to-noise ratio in parameter design. This research considers the mean and the variance of the quality characteristic of a product as two response values to constitute two curved surface systems of responses, and to use dual response surface method to develop a set of practical analysis procedures. At last, we use a practical problem to make a comparison between Taguchi method and the analytic procedure proposed in this study to demonstrate that the procedure of dual response surface method is effective and feasible for parameter design.

    中文摘要Ⅰ 英文摘要Ⅱ 誌謝Ⅲ 目錄Ⅳ 圖目錄Ⅵ 表目錄Ⅶ 第一章 緒論1 1.1研究背景1 1.2研究動機與目的2 1.3研究方法3 1.4論文架構3 第二章 文獻探討5 2.1田口方法5 2.1.1基本名詞解釋7 2.1.2直交表9 2.1.3品質損失及損失函數11 2.1.4信號雜訊比13 2.2雙反應曲面法15 第三章 模式建立與說明22 3.1實驗設計22 3.2建立多項式迴歸模型26 3.3雙反應曲面之模型建立28 3.4模式說明與視覺化31 3.5最適操作條件33 第四章 實例研究36 4.1問題描述36 4.2結果與分析37 4.2.1田口方法分析結果37 4.2.2雙反應曲面法分析結果39 4.2.3比較實驗47 第五章 結論與建議49 5.1結論49 5.2建議50 參考文獻52

    中文部份
    [1]蘇朝墩 (2004),「專訪世界品質大師-田口玄一博士」,品質月刊,第40卷第3期,頁30-32。
    [2]傅和彥 黃士滔 (1999),「品質管理」,前程企業。
    [3]鄭春生 (1997),「品質管理」,育友。
    [4]葉怡成 (2001),「實驗計劃法-製程與產品最佳化」,五南。
    [5]郭朝洲 (1994),「田口式實驗設計於有機鍍鋁之應用」,國立臺灣工業技術學院機械工程技術研究所碩士論文。

    英文部份
    [6]Vining, G. G. and R. H. Myers (1990), “Combining Taguchi and Response Surface Philosophies:A Dual Response Approach,” Journal of Quality Technology, 22: 38-45.
    [7]Myers, R. H, Jr. and W. H. Carter (1973), “Response Surface Techniques for Dual Response System,” Technometrics, 15(2): 301-317.
    [8]Ross, P. J. (1988), Taguchi Techniques for Quality Engineering, McGraw-Hill, NY.
    [9]Del Castillo, E. and D. C. Montgomery (1993), “A Nonlinear Programming Solution to the Dual Response Problem,” Journal of Quality Technology, 25: 199-204.
    [10]Lin, D. K. J. and W. Tu (1995), “Dual Response Surface Optimization,” Journal of Quality Technology, 27(1): 34-39.
    [11]Copeland, K. A. F. and P. R. Nelson (1996), “Dual Response Optimization via Direct Function Minimization,” Journal of Quality Technology, 28: 331-336.
    [12]Kim, K. and D. K. J. Lin (1998), “Dual Response Surface Optimization: A Fuzzy Modeling Approach,” Journal of Quality Technology, 30: 1-10.
    [13]Koksoy, O. and N. Doganaksoy (2003), “Joint Optimization of Mean and Standard Deviation Using Response Surface Methods,” Journal of Quality Technology, 35(3): 239-252.
    [14]Montgomery, D. C. (2005), Design and Analysis of Experiments, John Wiley& Sons, NY.
    [15]Neter, Kutner, Nachtsheim and Wasserman (1996), Applied Linear Statistical Models, Irwin.
    [16]Myers, R. H. and D. C. Montgomery (1995), Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley& Sons, NY.
    [17]Montgomery, D. C. (1999), “Experimental Design for Product and Process Design and Development,” The Statistician, 48(2): 159-177.
    [18]Derringer, G. and R. Suich (1980), “Simultaneous Optimization of Several Response Variables,” Journal of Quality Technology, 12: 214-219.

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