驗收抽樣計畫為品質管理領域中一項廣為使用的工具，透過買賣雙方所訂定的品質水準以及可承受之風險，以提供買賣雙方判定貨批品質水準是否在可接受之品質標準內。近年來，已有許多學者以製程能力指標為考量，發展出許多不同型態的計量型驗收抽樣計畫，然而，學術研究大多無法直接運用於產業界，其中可能原因包含其公式推導複雜、需要大量數學及統計的基礎等，導致學術上之研究無法應用於產業界。
因此，本研究將建構一個操作平台，整合以製程能力指標發展產出績效檢定及計量型驗收抽樣計畫之相關文獻，以縮短學術與產業界之間的差距，此操作平台之功能包含兩大部分：第一部份為針對產出績效檢定，透過臨界值或p-value、信賴下界來評估產出績效是否符合標準；第二部分則為驗收抽樣計畫，根據不同策略的驗收抽樣計畫求解所需樣本數及臨界值，以及各驗收抽樣計畫之操作特性曲線和平均樣本數比較等兩大部分，其中驗收抽樣計畫包含計量型單次驗收抽樣計畫、計量型重複遞交驗收抽樣計畫、計量型重複群集驗收抽樣計畫、計量型多重相依狀態驗收抽樣計畫、計量型修改重複群集驗收抽樣計畫、計量型兩計畫驗收抽樣系統以及計量型快速轉換抽樣系統。最後，透過實務案例進行使用者介面操作，說明使用者如何將實務上所得到的產品數據透過本研究進行分析與判斷。

Acceptance sampling plans are practical tools for quality control management which provide decision rules for lot acceptance determination between producers and customers. Those sampling plans provide both producers and customers a common rule to meet their preset requirements on product quality and allowable risk. Lots of researchers had developed different variables sampling plans based on process capability indices in the recent years. However, for their practical use in the industry applicable platforms are necessary. In order to shorten the gap between academic research and industry, in this paper, we develop an operating platform by combing process performance assessment and different sampling plans which are based on the both one-sided and two-sided process capability indices.
The operating platform, which integrates seven different variables sampling plans and process performance assessment, can mainly be divided into three parts. First, obtaining critical value and sample size by solving two non-linear equations. Secondly, data analysis and decision-making. Lastly, comparing different variables sampling plans by operating characteristic (OC) curve and average sample size (ASN). The plan parameters are determined by solving two non-linear equations simultaneously and fulfill the two-point condition on the OC curve. The OC curve of all the proposed plans in this paper is derived under the exact sampling distribution.

第一章 緒論 1
1.1研究背景與動機 1
1.2研究目的 2
1.3介面設計使用之軟體 3
1.3.1軟體介紹 3
1.3.2程式設計特色 4
1.4研究架構 5
第二章 文獻回顧 7
2.1驗收抽樣計畫 7
2.1.1驗收抽驗計畫簡介 7
2.1.2驗收抽驗計畫之分類 8
2.1.3驗收抽驗計畫之績效評估 9
2.2製程能力指標 12
2.3雙邊製程能力指標 13
2.3.1製程能力指標 與製程良率之關係 13
2.3.2製程能力指標 之估計 15
2.3.3製程能力指標 之抽樣分配 15
2.3.4製程能力指標 之假設檢定 16
2.4單邊製程能力指標 17
2.4.1製程能力指標 與製程良率之關係 18
2.4.2製程能力指標 之估計 20
2.4.3製程能力指標 之抽樣分配 20
2.4.4製程能力指標 之假設檢定 21
第三章 計量型抽樣計畫 23
3.1驗收抽樣計畫基於單邊製程能力指標 23
3.1.1計量型單次驗收抽樣計畫 23
3.1.1.1單次驗收抽樣計畫之操作步驟及檢驗流程圖 23
3.1.1.2計畫總允收機率函數 24
3.1.1.3計畫參數之數學模型 24
3.1.2重複遞交驗收抽樣計畫 25
3.1.2.1重複遞交驗收抽樣計畫之操作步驟及檢驗流程圖 25
3.1.2.2計畫總允收機率函數 26
3.1.2.3計畫參數之數學模型 27
3.1.3重複群集驗收抽樣計畫 27
3.1.3.1重複群集驗收抽樣計畫之操作步驟及檢驗流程圖 27
3.1.3.2計畫允收機率函數 28
3.1.3.3計畫參數之數學模型 29
3.1.4多重相依狀態驗收抽樣計畫 30
3.1.4.1多重相依狀態驗收抽樣計畫之操作步驟與檢驗流程圖 30
3.1.4.2計畫允收機率函數 31
3.1.4.3計畫參數之數學模型 32
3.1.5修改計量型重複群集驗收抽樣計畫 33
3.1.5.1修改重複群集驗收抽樣計畫之操作步驟與檢驗流程圖 33
3.1.5.2計畫允收機率函數 34
3.1.5.3計畫參數之數學模型 35
3.1.6兩計畫驗收抽樣系統 35
3.1.6.1兩計畫驗收抽樣系統之操作步驟與檢驗流程圖 36
3.1.6.2系統允收機率函數 38
3.1.6.3系統參數之數學模型 41
3.1.7快速轉換抽樣系統 43
3.1.7.1快速轉換抽樣系統操作步驟與檢驗流程圖 44
3.1.7.2系統允收機率函數 46
3.1.7.3系統參數之數學模型 47
3.2驗收抽驗計畫基於雙邊製程能力指標 50
3.2.1單次驗收抽樣計畫 50
3.2.1.1單次驗收抽樣計畫之操作步驟及檢驗流程圖 50
3.2.1.2計畫總允收機率函數 51
3.2.1.3計畫參數之數學模型 51
3.2.2重複遞交驗收抽樣計畫 52
3.2.2.1重複遞交驗收抽樣計畫之操作步驟及檢驗流程圖 52
3.2.2.2計畫總允收機率函數 52
3.2.2.3計畫參數之數學模型 53
3.2.3重複群集驗收抽樣計畫 53
3.2.3.1重複群集驗收抽樣計畫之操作步驟及檢驗流程圖 53
3.2.3.2計畫允收機率函數 54
3.2.3.3計畫參數之數學模型 55
3.2.4多重相依狀態驗收抽樣計畫 55
3.2.4.1多重相依狀態驗收抽樣計畫之操作步驟與檢驗流程圖 55
3.2.4.2計畫允收機率函數 56
3.2.4.3計畫參數之數學模型 57
3.2.5修改重複群集驗收抽樣計畫 57
3.2.5.1修改重複群集驗收抽樣計畫之操作步驟與檢驗流程圖 57
3.2.5.2計畫允收機率函數 58
3.2.5.3計畫參數之數學模型 59
3.2.6兩計畫驗收抽樣系統 59
3.2.6.1兩計畫驗收抽樣系統之操作步驟與檢驗流程圖 59
3.2.6.2系統允收機率函數 61
3.2.6.3系統參數之數學模型 63
3.2.7快速轉換抽樣系統 65
3.2.7.1快速轉換抽樣系統操作步驟與檢驗流程圖…………………65
3.2.7.2系統允收機率函數……………………………………………65
3.2.7.3系統參數之數學模型 67
第四章 各型態驗收抽樣計畫之軟體設計 71
4.1軟體設計架構 71
4.2軟體之操作說明 73
4.2.1輸入已知參數求解 75
4.2.2資料分析 82
4.2.3各計量型驗收抽樣計畫之比較 92
4.2.3操作平台說明 94
4.3實例操作 96
4.3.1輸入已知參數求解 96
4.3.2資料分析 99
4.3.3各計量型驗收抽樣計畫之比較 101
第五章 結論與未來發展 104
5.1結論 104
5.2未來發展 104

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