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研究生: 郭明翰
Kuo, Ming-Han.
論文名稱: 設計與建構基於指數分配之壽命績效驗收 抽樣計畫及操作平台
Design and Construction of Lifetime Performance Acceptance Sampling Plans and an Operating Platform for Exponential Lifetime Products
指導教授: 吳建瑋
Wu, Chien-Wei
口試委員: 蘇明鴻
張國浩
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: 2017
畢業學年度: 105
語文別: 中文
論文頁數: 68
中文關鍵詞: 驗收抽樣計畫製程能力指標壽命績效指標設限樣本指數分配
外文關鍵詞: Acceptance sampling plan, Process capability indices, Lifetime performance index, censored sample, exponential distribution
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  • 產品的品質是決定一家公司企業競爭力的主要因素,而壽命是衡量電子產品
    品質的重要標準。為了把關產品的品質,需對產品的元件與成品做檢驗,而驗收
    抽樣計畫是能夠在保障買賣雙方的品質水準要求與風險條件下,短時間內對貨批
    做出判決的檢驗方式。此外,製程能力指標是衡量製程品質的有效工具,由於電
    子產品的壽命通常服從非常態的分配,故使用壽命績效指標來衡量壽命表現。再
    者,在實務上對產品進行壽命檢測實驗時,檢測人員可能無法永遠保持在崗位觀
    測樣本,亦可能發生產品在實驗過程中意外毀損或是離開實驗的狀況,造成有缺
    漏的觀測值。為了處理上述壽命檢測實驗中可能發生的狀況,並有效地衡量電子
    產品的壽命品質,以及保障買賣雙方對品質的要求與風險條件,本研究旨在對壽
    命服從指數分配的產品,在逐步型二右設限樣本的資料型態下,以壽命績效指標
    的均勻最小變異數不偏估計量為基礎發展兩種不同策略的驗收抽樣計畫,分別為
    單次抽樣計畫與重複群集抽樣計畫,並提供兩種抽樣計畫的計畫參數表供使用者
    於實務上查閱與利用。本研究亦將發展出的單次抽樣計畫與重複群集抽樣計畫於
    各個方面做比較分析,並引用真實案例的數據資料實際操作,以說明本研究的兩
    個抽樣計畫在實務中的應用方式,也建構出圖形化使用者介面以利使用者於實務
    中能夠更容易且直觀地執行本研究所發展的抽樣計畫。


    The quality of products is a main factor to the competitiveness of a company, and lifetime is a critical criterion to evaluate the quality of electronic products. In order to ensure the quality of products, examinations on components and final products are needed. Acceptance sampling plan is an examination method that can ensure quality requirements and protect risks of producers and consumers while sentencing a lot in a short time. Besides, process capability indices are effective tools to evaluate the performance of a process, and lifetime performance index is used for electronic products due to their non-normally distributed lifetime quality characteristic. Moreover, during a lifetime test, the experimenters may not be able to always be in position to observe all the lifetimes of the products, or the products may be broken accidentally, which cause them to leave the experiment before they fail ordinarily. To tackle the problems above, two kinds of acceptance sampling plans are developed based on the lifetime performance index for exponential lifetime products, and the progressively type II right censored sample is used as the data type of the lifetime test experiment. The solutions of plan parameters are provided in tables for practical use and a comparison between two plans is presented. Additionally, an applied example is presented for demonstrating the developed sampling plans, and a graphical user interface is made for users to implement the developed sampling plans more intuitively.

    目錄 致謝...... i 摘要...... ii Abstract ....... 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...... 3 1.3 研究目的...... 4 1.4 論文架構...... 4 第二章 文獻回顧與探討...... 7 2.1 驗收抽樣計畫...... 7 2.1.1 驗收抽樣...... 7 2.1.2 驗收抽樣計畫的分類..... 9 2.1.3 驗收抽樣計畫的績效衡量...... 10 2.2 製程能力指標...... 12 2.3 壽命績效指標...... 17 2.4 壽命檢測實驗與樣本資料型態...... 18 2.4.1 完整樣本...... 19 2.4.2 設限樣本...... 19 2.4.3 逐步型二右設限樣本...... 20 2.5 基於指數分配下的壽命績效指標...... 23 第三章 逐步型二右設限樣本下指數壽命產品的單次抽樣計畫...... 26 3.1 壽命績效指標的估計...... 26 3.2 計畫設計概念與操作程序...... 29 3.3 非線性聯立不等式求解計畫參數...... 30 第四章 逐步型二右設限樣本下指數壽命產品的重複群集抽樣計畫...... 40 4.1 計畫設計概念與操作程序...... 40 4.2 最佳化模型求解計畫參數..... 42 第五章 計畫比較、案例分析與圖形化使用者介面...... 51 5.1 計畫比較...... 51 5.2 案例分析...... 54 5.3 圖形化使用者介面...... 57 第六章 結論與未來研究方向...... 62 6.1 結論...... 62 6.2 未來研究方向...... 63 參考文獻...... 65

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