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研究生： 陳彥綸
Chen, Yen-Lun
論文名稱： 建構基於製程能力指標之廣義快速抽樣系統
Developing a Generalized Quick Switching Sampling System Based on the Process Capability Index
指導教授： 吳建瑋
Wu, Chien-Wei
口試委員: 蘇明鴻
Shu, Ming-Hung
王姿惠
Wang, Zih-Huei
學位類別： 碩士
Master
系所名稱： 工學院 - 全球營運管理碩士雙聯學位學程
Dual Master Program for Global Operation Management
論文出版年： 2019
畢業學年度： 107
語文別： 英文
論文頁數： 72
中文關鍵詞： 驗收抽樣計畫 、馬可夫轉移矩陣 、操作特性曲線 、平均抽樣樣本數
外文關鍵詞： Acceptance sampling plan, Markov Chain transition matrix, Operating characteristic curve, Average sample number
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    • 隨著科技演進與生產技術提升，多元的產品中，「品質」成為除了價格之外，吸引購買者的重要元素。驗收抽樣計畫(Acceptance Sampling Plan)用於提供決策者有效的品質檢驗資訊，以利判定是否允收貨批。
    快速轉換抽樣系統(Quick Switching Sampling system, QSS system)包含正常檢驗及加嚴檢驗兩種單次驗收抽樣計畫，其精神為針對貨批的允收結果迅速切換抽樣計畫，被證實可有效降低檢驗樣本數。然而，在加嚴檢驗下，此抽樣系統僅需允收一次貨批即切換至正常檢驗，仍存在誤判之疑慮。因此，本文提出廣義快速轉換抽樣系統(Generalized Quick Switching Sampling system, QSS-r system)，進而擴充轉換加嚴至正常檢驗所需連續接受的抽樣次數為新的輸入參數。
    本研究主要目的為發展基於常見製程能力指標 之計量型廣義快速轉換抽樣系統，並針對兩種不同參數組合之抽樣系統，利用馬可夫轉移矩陣推導兩抽樣系統之操作特性(Operating Characteristic, OC)函數。接著分別針對計畫參數，考量品質及抽樣樣本數之決策風險要求，建構最佳化數學模型。最終藉由操作特性曲線及平均抽樣樣本數(Average Sample Number, ASN)分析系統績效，並與單次驗收抽樣計畫相較。

    Owing to the technology advancement, “quality” has brought up people attentions due to the varieties of products. Hence, acceptance sampling plan, which is applied for better determination of the incoming lot, has been intensively studied to improve the acceptance decision.
    A Quick Switching Sampling (QSS) system composes with normal inspection and tightened inspection. It is capable of switching the inspection based on the lot determination, and also it had been proved to cut down the sampling cost comparing with single sampling plan. However, a single lot acceptance in tightened inspection for switching back to normal inspection has raised misjudgment concern. Thus, we generalize a parameter to further determine the consecutive lot acceptances in tightened inspection as for switching back to normal inspection.
    Our goal is to develop a Generalized Quick Switching Sampling (QSS-r) system based on Cpk, and focus on two-parameter settings, further deriving their Operating Characteristic (OC) function from Markov Chain transition matrix. Next, consider the lot quality and risk requirement, we construct an optimization model. Last, performance of OC curve and Average Sample Number (ASN) curve has been further discussed to analyze system characteristic.

    摘要 i Abstract ii Acknowledgment iii Table of Contents iv List of Figures vi List of Tables viii Chapter 1 Introduction 1 1.1 Research Background and Motivation 1 1.2 Research Purpose 2 1.3 Research Structure 3 Chapter 2 Literature Review 5 2.1 Process Capability Index 5 2.1.1 Development 6 2.1.2 Estimator and Sampling Distribution of Cpk 8 2.1.3 Hypothesis Testing of Cpk 9 2.2 Acceptance Sampling Plan 10 2.2.1 Development 11 2.2.2 Performance Measure 14 2.2.3 Quick Switching Sampling System 16 Chapter 3 VQSS-r System Based on Cpk 20 3.1 Scheme Design and Operating Procedures 20 3.2 Generalized Form of Acceptance Probability 23 3.3 Mathematical Model 28 3.3.1 System 29 3.3.2 System 31 3.4 Simulation Analysis 33 3.4.1 System 34 3.4.2 System 37 Chapter 4 Results and Discussion 41 4.1 Operating Characteristic Curve 41 4.1.1 System 43 4.1.2 System 45 4.2 Average Sample Number 47 4.2.1 Objective Functions 48 4.2.2 Comparisons with Variable Single Sampling Plan 49 Chapter 5 Case Study 54 Chapter 6 Conclusion and Future Perspective 61 6.1 Conclusion 61 6.2 Future Prospective 63 References 64 Appendix A Plan Parameters in System 67 Appendix B Plan Parameters in System 70

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