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研究生: 蔡佳侑
Tsai, Jia-Yo
論文名稱: 以反應曲面法求解織布廠製程參數組合為降低庫存之決策支援研究
A Decision Support Approach for Inventory Reduction through the Optimization of Weaving Process Parameter Combinations Using Response Surface Methodology
指導教授: 楊大和
Yang, Taho
陳宗義
Chen, Tsung-Yi
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 製造資訊與系統研究所
Institute of Manufacturing Information and Systems
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 166
中文關鍵詞: 胚布在製品庫存田口方法反應曲面法中央合成設計決策支援
外文關鍵詞: Greige fabric work-in-process inventory, Taguchi method, Response surface methodology, Central composite design, Decision support
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  • 本研究以紡織業織布廠前準備作業為研究對象,探討製程參數對胚布在製品庫存量之影響,並以滿足訂單需求之前提下降低在製品庫存量為目標。由於織布廠在少量多樣與接單式生產環境下,若參數設定不當,易造成過量生產與庫存累積,因此本研究延續既有用紗試算邏輯,重建用紗試算系統,並結合田口方法(Taguchi Method)與反應曲面法(ResponseSurface Methodology, RSM),建立製程參數最佳化之決策支援流程。
    本研究首先透過顯著因子篩選,確認紗粒重量(Cone weight)、單軸條數(End count)、丹尼數(Denier)與軸併數(Beam)為主要影響因子,並依文獻與實務條件重新設定參數值域。接著,針對不同需求區間進行田口方法分析,以 S/N(Signal-to-Noise Ratio)比與因子效果判定較佳參數組合;再以田口結果作為反應曲面法起始點,透過一階模式配適(First-Order Model Fitting)、最陡下降法(Steepest Descent Method)、中央合成設計(CentralComposite Design, CCD)與二階模式最佳化求得較佳解。此外,本研究新增需求區間四與需求區間五,以提升模型於低、高需求量情境下之適用性。
    實證結果顯示,擴充參數值域後,田口方法與反應曲面法皆能降低多數需求區間之胚布平均在製品庫存量,其中反應曲面法可透過局部建模與限制條件最佳化取得更低庫存。納入軸併數後,部分需求區間仍可進一步改善。整體而言,本研究流程可協助織布廠於不同需求情境下快速取得較佳參數組合,降低過量生產風險,並提升參數設定之決策品質。

    This study focuses on the preparation process of a textile weaving mill and investigates theeffects of process parameter combinations on greige fabric work-in-process inventory. The mainobjective is to reduce inventory while ensuring that production output satisfies order demand.In a high-mix, low-volume, and make-to-order production environment, mismatches betweenyarn preparation settings and actual order requirements may lead to overproduction andinventory accumulation. Therefore, this study extends the yarn usage calculation logic ofprevious research by reconstructing the original Excel VBA-based calculation system on theGoogle Colab platform, which serves as the basis for subsequent experimental design andoptimization analysis.
    First, significant factor screening is conducted to identify cone weight, ends per warp beam,number of beams combined, and denier as the main factors affecting greige fabric work-in-process inventory. The feasible ranges of these parameters are then redefined based on literature,equipment specifications, and practical production conditions. Next, the Taguchi method isapplied to different demand ranges and inventory scenarios. The smaller-the-better signal-to-noise ratio and factor effect analysis are used to determine better parameter-level combinations.
    The results obtained from the Taguchi method are then used as the initial points for ResponseSurface Methodology. Through first-order model fitting, the steepest descent method, face-centered central composite design, and second-order modeling, improved parametercombinations are identified within the constrained design region. In addition, low-demand andhigh-demand scenarios are included to enhance the applicability of the proposed model underdifferent order scales.
    The empirical results show that, after expanding the parameter ranges, both the Taguchi methodand Response Surface Methodology can reduce the average greige fabric work-in-processinventory in most demand ranges. Compared with the Taguchi method, Response SurfaceMethodology further improves inventory reduction through local modeling and constrainedoptimization. After incorporating the number of beams combined as an additional control factor,several demand ranges achieve further inventory reduction, indicating that this factor providesadditional support for output adjustment and inventory improvement. Overall, the proposedintegrated procedure, combining the yarn calculation system, the Taguchi method, and ResponseSurface Methodology, can help weaving mills quickly identify better process parametercombinations under different demand scenarios, reduce the risk of overproduction, and improvethe decision quality of process parameter settings.

    目錄 ix 表目錄 xiii 圖目錄 xv 1緒論 1 1.1研究背景與動機 1 1.2研究目的 4 1.3研究流程 5 1.4研究架構 7 2文獻探討 9 2.1紡織業 9 2.1.1織布廠準備作業流程 10 2.1.2織布廠準備作業流程參數 13 2.2田口方法 16 2.3反應曲面法 18 2.4參數設計的決策支援 22 3研究方法與流程設計 26 3.1 原研究方法與模型承接說明 28 3.2顯著因子篩選與實驗參數值域設定 29 3.2.1顯著因子篩選 29 3.2.2主要實驗因子之設定 31 3.2.3其他變數處理與參數值域設定意義 33 3.3研究假設 33 3.4田口方法 34 3.4.1需求情境分析與在製品庫存情境定義 35 3.4.2田口方法之執行邏輯 37 3.4.3兩階段田口實驗設計 39 3.4.4控制因子、水準設定與直交表建立 40 3.4.5 S/N比特性、最佳因子選擇與驗證 40 3.5反應曲面法 42 3.5.1為何採用中央合成設計 43 3.5.2中央合成設計的構成與實驗點數 44 3.5.3起始點、一階模式與最陡下降法 46 3.5.4二次模式建立、平穩點求解與判定 47 3.5.5最佳解驗證與循環更新 49 4實證分析 51 4.1用紗試算表系統重建 51 4.1.1重建目的與必要性 51 4.1.2原研究試算邏輯與數學關係式 51 4.1.3重建系統之驗證 52 4.2實證分析對象與研究承接說明 53 4.3原研究最佳解整理與本研究基準值設定 54 4.3.1 原研究各需求情境最佳解整理 54 4.3.2 本研究基準值設定方式 55 4.4 擴充參數值域之田口方法實證分析 56 4.4.1 控制因子與水準設定 57 4.4.2 直交表建立與初始試算結果 58 4.4.3 因子水準修正與修正後直交表試算 59 4.4.4 S/N 比計算與因子反應分析 61 4.4.5 擴充值域田口方法最佳解驗證與改善幅度分析 62 4.5 擴充參數值域之反應曲面法實證分析 64 4.5.1 起始中心點設定 65 4.5.2 初始全因子實驗設計與試算結果 66 4.5.3 一階回歸模式配適與最陡下降法 69 4.5.4 中央合成設計與二階模式建立 73 4.5.5 平穩點求解與最佳解驗證 77 4.6 新增軸併數(x4)後之田口方法實證分析 81 4.6.1 控制因子與水準設定 81 4.6.2 直交表選擇與直交表試算結果 83 4.6.3 S/N 比分析與因子效果判定 84 4.6.4 最佳水準組合驗證與改善幅度分析 86 4.7新增軸併數(x4)後之反應曲面法實證分析 88 4.7.1 起始中心點設定 88 4.7.2 全因子實驗設計與試算結果 89 4.7.3 一階回歸模式配適與模式判定 92 4.7.4 中央合成設計與二階模式建立 96 4.7.5 平穩點求解與位置檢驗 98 5結論與建議 102 5.1 研究結論 102 5.2 研究限制 105 5.3 未來研究建議 106 參考文獻 107 附錄 111 附錄A 111 附錄B 119 附錄C 131 附錄D 139

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