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研究生: 江秉蓉
Chiang, Ping Jung
論文名稱: 基於損失函數之兩計畫驗收抽樣系統
Developing a Two-Plan Sampling System Based on Process Loss Index
指導教授: 吳建瑋
Wu, Chien Wei
口試委員: 張國浩
廖茂原
學位類別: 碩士
Master
系所名稱: 工學院 - 工業工程與工程管理學系
Department of Industrial Engineering and Engineering Management
論文出版年: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 72
中文關鍵詞: 驗收抽樣系統損失函數平均抽樣樣本數
外文關鍵詞: Sampling System, Process Loss Index, Average Sample Number
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  • 驗收抽樣系統(Acceptance Sampling System)是由兩個以上之驗收抽樣計畫(Acceptance Sampling Plan)及轉換規則所組成,提供更有彈性之品質驗收程序,亦為品質管制中一項重要之工具,用來決定允收或拒絕該受檢貨批,以保證允收貨批之品質。傳統的品質管制觀念中,只要產品之品質特徵落於上下規格界限內即可稱為「良品」。田口博士( Dr. Genichi Taguchi )於1950年代所提出品質特徵值偏離目標值即會產生損失,並建議以二次損失函數來衡量品質水準。因此,本研究擬利用損失函數 進行建構驗收抽樣系統,此驗收抽樣系統中含有兩個驗收抽樣計畫,又稱為Tightened-Normal-Tightened Sampling System(TNT驗收抽樣計畫),系統中包含:加嚴檢驗(Tightened Inspection)與正常檢驗(Normal Inspection),首次檢驗均由加嚴檢驗開始,當在加嚴檢驗中連續 次允收即可轉換至正常檢驗,若正常檢驗之下一次被拒絕後 次內又被拒絕,則需轉換回加嚴檢驗,利用此規則讓不同品質條件之貨批在加嚴檢驗與正常檢驗中互相轉換,更能保障買賣雙方之風險與有效地減少驗收抽樣之成本。
    針對系統參數部分,本研究探討 TNT-(nT=mnN,nN;k)、TNT-(nT,nN;k) 與 TNT-(n;kT,kN)等三種不同型態。除針對各型態之抽樣系統分析其操作特性曲線(Operating Characteristic Curve, OC Curve)及平均抽樣樣本數(Average Sample Number, ASN)外,並與傳統單次抽樣計畫進行比較。最後,透過實務案例之分析與說明,以提供使用者在應用驗收抽樣系統之操作程序及準則。


    Acceptance sampling system plays an important role in quality control to make sure consumers to accept products with good quality, it contains two or more acceptance sampling plans and provides more flexible acceptance sampling procedure than existing acceptance sampling plans. Most existing acceptance sampling plans were developed mainly based on the product defective rate or process yield. However, the yield management does not distinguish among the product that fall inside of the specification limits. The process loss index was proposed for measuring process performance by considering the concept of quality loss function introduced by Dr. Genichi Taguchi. This thesis based on process loss index developed an acceptance sampling system contains two acceptance sampling plans: tightened inspection and normal inspection. The first sampling procedure needs to begin from tightened inspection, and switch to normal inspection if lots in a raw are all accepted. If there is an additional lot is rejected in the next lots after a rejection under normal inspection, it needs to switch to tightened inspection. The acceptance sampling system observes the switching condition from tightened inspection to normal inspection and switch back to tightened inspection, so it is also called “Tightened-Normal-Tightened Sampling System (TNT Sampling System)”.
    The behavior of the proposed three types sampling system: TNT-(nT=mnN,nN;k), TNT-(nT,nN;k) and TNT-(n;kT,kN) are investigated and discussed in this paper. The results for sampling systems indicate that the proposed sampling system gives the desired protection with smaller sample size than traditional variables single sample plan. Lastly, we analyzed a practical case to assist users to learn more from the proposed sampling system.

    致謝 I 摘要 II Abstract III 表目錄 VI 圖目錄 VII 第一章 緒論 1 1.1 研究背景與動機 1 1.2 研究目的與範疇 4 1.3 研究架構 4 第二章 文獻探討 6 2.1 驗收抽樣計畫 6 2.2 驗收抽樣計畫的分類與種類 8 2.3 驗收抽樣計畫的績效衡量 13 2.3.1 操作特性曲線 13 2.3.2 平均抽樣數 17 2.4 製程能力分析與指標 18 2.4.1 製程能力指標 19 2.4.2 損失函數與損失指標 21 第三章 基於損失指標之兩計畫驗收抽樣系統 25 3.1  驗收抽樣計畫 26 3.1.1  之驗收抽樣系統概念與操作流程 26 3.1.2  之計畫允收機率參數 29 3.1.3  之計畫數學模型 30 3.1.4 之計畫求解結果 30 3.2 驗收抽樣系統 36 3.2.1 之計畫求解結果 36 3.3 驗收抽樣系統 39 3.3.1 之驗收抽樣系統概念與操作流程 39 3.3.2 之計畫允收機率函數 42 3.3.3 之計畫數學模型 43 3.3.4 之計畫求解結果 44 第四章 結果分析與比較 46 4.1 與單次驗收抽樣比較 46 4.1.1 操作特性曲線 46 4.1.2抽樣樣本數 48 4.2 與單次驗收抽樣比較 50 4.2.1 操作特性曲線 50 4.2.2平均抽樣樣本數 52 4.3 與單次驗收抽樣比較 53 4.3.1操作特性曲線 54 4.3.2平均抽樣樣本數 56 4.4結果分析 59 第五章 實例分析與探討 62 5.1 案例介紹 62 5.2 案例分析與探討 64 第六章 結論與未來研究方向 67 6.1 結論 67 6.2 未來研究方向 69 參考文獻 70

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