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作者(中文):吳念芸
作者(外文):Wu, Nien-Yun
論文名稱(中文):建構產品壽命服從雙參數Lindley分配 之截略壽命檢驗下的驗收抽樣計畫
論文名稱(外文):Developing Acceptance Sampling Schemes for Two-parameter Lindley Lifetime Products under Truncated Life Test
指導教授(中文):吳建瑋
指導教授(外文):Wu, Chien-Wei
口試委員(中文):蘇明鴻
張國浩
口試委員(外文):Shu, Ming-Hung
Chang, Kuo-Hao
學位類別:碩士
校院名稱:國立清華大學
系所名稱:工業工程與工程管理學系
學號:104034534
出版年(民國):106
畢業學年度:105
語文別:中文
論文頁數:73
中文關鍵詞:截略壽命檢驗驗收抽樣計畫雙參數Lindley分配單次驗收抽樣計畫雙次驗收抽樣計畫
外文關鍵詞:truncated life testacceptance sampling plantwo-parameter Lindley distributionsingle acceptance sampling plandouble acceptance sampling plan
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現今產業高度競爭,產品品質的重要性日漸提高。在品質管理的領域,對產品的品質進行判定最常見的方式即為驗收抽樣計畫,其能同時滿足買賣雙方的要求,並有效的對貨批進行判決。在實務上,衡量產品的壽命長度時,常常會因檢驗機器的限制或其他不可抗力的因素而無法獲得完整的壽命資料。因此,本研究主要目的為針對產品壽命服從參數已知的雙參數Lindley分配的資料,利用統計上的推導,發展出截略壽命檢驗下的驗收抽樣計畫。
本研究提供兩種驗收抽樣計畫的計畫參數結果,分別為單次驗收抽樣計畫和雙次驗收抽樣計畫。兩種驗收抽樣計畫有不同的操作流程和計畫參數。為了實務上使用方便,本研究提供不同參數下,多種風險水準組合和終止檢驗時間因子之計畫參數表,使用者可藉由表格取得對應的驗收抽樣計畫之抽樣樣本數和允收數,並以此作為判決的準則。同時,本研究也會探討計畫參數之結果,且於最後提供實例說明兩種驗收抽樣計畫的操作方式。
In the intensely competitive industry, the quality of the products becomes more important. In the field of quality management, the most common way to determine the lot acceptance is acceptance sampling plan. It can not only satisfy producers and customers, but also judge the lot effectively and efficiency. Moreover, in practice, because of the time restriction of the testing machine, getting the entire lifetime data might be hard. Therefore, in this study, we propose the acceptance sampling plans under truncated life test for the two-parameter Lindley distribution with one unknown parameter.
The results of single acceptance sampling plan and double acceptance sampling plan are discussed in the study. Those two has different procedures and planning parameters. In order to facilitate the use, the tableaus of the result with different parameter combinations are shown and the practical examples are also provided.
摘要 i
Abstract ii
致謝 iii
目錄 iii
圖目錄 v
表目錄 vi
第一章 緒論 1
1.1 研究背景與動機 1
1.2 研究目的 3
1.3 研究架構 4
第二章 文獻回顧 6
2.1 驗收抽樣計畫 6
2.1.1 操作特性曲線 7
2.1.2 計數型與計量型驗收抽樣計畫 11
2.1.3 驗收抽樣計畫之抽樣方式 11
2.2 截略壽命檢驗 13
2.2.1 截略壽命檢驗和設限壽命檢驗 14
2.2.2 截略壽命檢驗下的驗收抽樣計畫 15
2.3 雙參數Lindley分配 17
第三章 雙參數Lindley產品壽命之截略壽命檢驗的單次驗收抽樣計畫 25
3.1 計畫操作流程 26
3.2 允收機率函數 28
3.3 計畫參數之數學模型 29
3.4 計畫參數之分析與討論 30
第四章 雙參數Lindley產品壽命之截略壽命檢驗的雙次驗收抽樣計畫 35
4.1 計畫操作流程 35
4.2 允收機率函數 38
4.3 計畫參數之數學模型 39
4.4 計畫參數之分析與討論 40
第五章 案例分析 46
5.1 飛機舷窗案例 46
5.2 滾珠軸承案例 51
第六章 結論與未來研究方向 54
6.1 結論 54
6.2 未來研究方向 55
參考文獻 56
附錄A 61
附錄B 63

中文參考文獻:
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