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研究生: 唐启明
Bintang Nugroho
論文名稱: 基於卜瓦松分布的重抽樣之屬性計畫設計
Resubmitted Lots with Single Sampling Plan by Attributes Under the Conditions of Poisson Distribution
指導教授: 羅士哲
Shih-Che Lo
口試委員: Fu-Kwun Wang
Fu-Kwun Wang
Yeneneh Tamirat
Yeneneh Tamirat
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: 2017
畢業學年度: 105
語文別: 英文
論文頁數: 59
中文關鍵詞: 屬性抽樣計畫食品抽樣卜瓦松分布重複批量抽樣
外文關鍵詞: Attributes sampling plans, Resubmitted lots, Poisson distribution, Food sampling
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  • 消費者在選擇比較產品與服務時最重要的決策因子為品質,利用統計方法於品質工程的應用之中,通常會將資料分類為屬性資料或是變數資料,而允收抽樣為廣泛應用在品質工程中一個最重要的統計方法,允收抽樣計畫中描述所需的樣本數目與接受或是拒絕一批貨的條件。本篇論文提出一個在卜瓦松分布重複批量的屬性抽樣計畫,此抽樣計畫以數值方式衡量品質特徵,並在相同的生產者風險與客戶風險水準下,與傳統單一樣本抽樣計畫相比具有較小的樣本數優勢,這個是相當有利的基礎,尤其是產品品質檢驗是耗成本與具破壞性的狀況。本研究完成不同參數組合中,並配合生產者風險與客戶風險下,所需樣本數與臨界接受值的表格,並且比較基於卜瓦松分布複批量的屬性抽樣計畫的行為,加以呈現與討論,最後並以一個數值範例用來描述所提出的基於卜瓦松分布複批量的屬性抽樣計畫在實際環境中的應用。


    The most important consumer decision factors in the selection among competing products and services is quality. In the application of statistical methods to quality engineering, it is typical to classify data on quality characteristics as either attributes or variables data. One of the most important statistical tools widely used for this purpose is acceptance sampling. Acceptance sampling plans state the required sample size and the required acceptance or rejection criteria for lots sentencing. This thesis proposes resubmitted lots with single sampling plan (RSSP) by attributes under the conditions of Poisson distribution. Attributes RSSP under Poisson distribution will measure the quality characteristics on a numerical scale, with several advantages of having smaller sample size than traditional Single Sampling Plan under the same level of protection for both producer and customer. This is especially beneficial when the inspection is costly and destructive. For study purpose, tables for the required sample size and critical acceptance value of various combinations of quality levels, producer’s risk and consumer’s risk are constructed. Furthermore, the behaviors of the RSSP under Poisson distribution with various conditions are also shown and discussed. A numerical example is provided to illustrate and demonstrate how to use the RSSP under Poisson distribution in the real applications.

    Acknowledgements i 摘要 ………………………………………………………………………………………………ii Abstract iii Table of Contents iv List of Tables vi List of Figures vii 1. Introduction 1 1.1. Background and Motivation 1 1.2. Research Objective 3 1.3. Thesis Organization 4 2. Literature Review 6 2.1. Acceptance Sampling Plan 6 2.2. Acceptance Sampling Plan in Food Industry 7 2.3. Poisson Distribution in Microbiological 11 2.4. Acceptance Sampling Plan and Resubmitted Sampling Plan 14 3. Methodology 16 3.1. Operating Procedures and Decision-Making Rules 16 3.2. Probability of Lots Acceptance 18 3.3. Average Sampling Numbers (ASN) 19 3.4. Parameter Sample Size and Critical Acceptance Value 20 4. Analysis and Discussion 23 4.1. The Required Sample Size and the Critical Acceptance Value 23 4.2. Operating Characteristic (OC) Curve 31 4.3. Average Sample Number (ASN) 35 5. Illustration 38 5.1. Product Description 38 5.2. Acceptance Sampling Specification 40 5.3. Data Calculation 41 5.4. Result 43 6. Conclusions and Future Research 45 6.1. Conclusions 45 6.2. Future Research 46 References 47 Appendix 50 A.1. R Code for Single Sampling Plan 50 A.2. R Code for Resubmitted Single Sampling Plan 51

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