臺灣博碩士論文加值系統

本研究之主要範圍為非常態性與相關性資料對 管制圖之經濟性設計的影響，並引用Gordon & Weindling（1975）模式探討具警告界限與管制界限下、是否對整個製程達到良好監測、並與製造成本間做一個探討，此份研究總共可分為幾個部分，分別是在常態相關性資料下、在非常態性資料下、在非常態且相關性資料三個主題，並且在分析過程中使用兩種方式，第一種是使用程式計算的方法求解、在完全搜尋法則下以製造成本最小的優先考慮下、搜尋出最適合參數N、S、R、W、K的組合，第二種方法是使用田口式實驗設計進行分析、採取四個因子、每個因子有三個水準的狀況下進行分析，並比較是否不同偏態、峰態的非常態分配與不同的相關係數對於各因子之水準的選取是否也不同。
由研究資料中顯示在抽樣頻率S愈大時或抽樣樣本數N愈小時會有愈小的製造成本；並且由敏感度分析中得到在矯正機遇原因的成本（CA2）與變動的抽樣成本（CV）與固定的抽樣成本（CF）稍許上下變動時，其實對於一個製程穩定的產品並無單位成本上很大的影響。在尋找機遇原因的成本（CA1）、製程發生隨機偏移的頻率（ ）、在製程發生偏移的程度 與失敗產品所花費的成本（CD）增加時、每產品的單位成本會產生遞增的情況。

In this paper, the economic design of chart under non-normality and correlated samples will be developed using the Burr distribution .we use Gordon &Weindling（1975）cost model to analyze the warming limit,control limit and produce cost. There are three sections in this research which including, the economic design of the chart using Gordon &Weindling cost model for normality and correlated data; the economic design of the chart using Gordon &Weindling cost model for non-normality data; the economic design of the chart using Gordon &Weindling cost model for non-normality and correlated data.
In this research ,we use two way to analyze. First ,that use grid search to find out minimal cost and fit parameter N、S、R、W、K. Second , that use design of taguchi experiments , take four factors and three levels to conduct analysis data. We want to know different 3 and 4 under non-normality distribution ,and different correlated coefficient relation with levels of factors .
The results of comparison show that an increase sampling interval (s) and decrease sample size (N) leads to decrease average cost per part produced (A).By sensitive analysis we can get cost correcting the assignable cause (CA2),variation sampling cost (CV) and fixed sampling cost (CF) don’t affect average cost per part produced .An increase cost of searching for assignable cause (CA1),mean number of shift ( ),shift coefficient ( ),cost of defective product (CD) leads to increase in average cost per part produced.

中文摘要…………………………………………………………………………i
英文摘要…………………………………………………………………………ii
致謝 …………………………………………………………………………iii
目錄 …………………………………………………………………………iv
表目錄 …………………………………………………………………………vi
圖目錄 …………………………………………………………………………vii
符號說明…………………………………………………………………………… viii
一、 緒論 ……………………………………………………………………… 1
1.1研究背景 ……………………………………………………………… 1
1.2研究範圍 ………………………………………………………………… 2
1.3研究方法與步驟…………………………………………………………… 2
二、文獻回顧與探討 …………………………………………………………… 4
2.1　平均數管制圖之經濟性設計….………………………………………… 4
2.2 相關性樣本.…………………………………………………………………5
2.3 Burr分配.……………………………………………………………………5
2.4 田口式實驗設計.………………………………………………………… …10
2.4.1要因試驗和田口試驗 .………………………………………………10
2.4.2 標準直交表 …………………………………………………………10
2.4.3 直交表的解析度 ……………………………………………………11
2.4.4 變異數分析和回應圖 ………………………………………………11
三、模式建立 ………………………………………………………………………14
3.1 Gordon & Weindling成本模式………………………………………… ……14
3.2 Gordon & Weindling模式下管制界限與警告界限之探討 ………………16
3.3常態與非常態資料下d0、d1之建構與推導過程………………………… 18
3.3.1常態資料下d0、d1之推導………………………………………… 18
3.3.2非常態資料下d0、d1之推導……………………………………… 18
3.4常態與相關性樣本下平均數管制圖之誤差機率 ………………………… 20
3.4.1當製程在管制狀態內時 ………………………………………… 20
3.4.2當製程在管制狀態外時 ………………………………………… 21
3.5非常態樣本下平均數管制圖之誤差機率………………………………… 22
3.5.1當製程在管制狀態內………………………………………………… 22
3.5.2當製程在管制狀外時………………………………………………… 23
3.6非常態與相關性樣本下平均數管制圖之誤差機率……………………… 24
3.6.1製程在管制狀態內時………………………………………………… 24
3.6.2當製程在管制狀態外時……………………………………………… 25
四、模式求解與分析……………………………………………………………… 27
4.1 G&W成本模式在常態與相關性資料下平均數管制圖之敏感度分析…… 27
4.1.1 使用搜尋法則進行分析 …………………………………………… 27
4.1.2 使用田口式實驗設計進行分析 …………………………………… 34
4.2 G&W成本模式在非常態性資料下平均數管制圖之敏感度分析 ……… 38
4.2.1使用搜尋法則進行分析……………………………………………… 38
4.2.2 使用田口式實驗設計進行分析 …………………………………… 45
4.3 G&W成本模式在非常態與相關資料下平均數管制圖之敏感度分析… 49
4.3.1 使用田口式實驗設計進行分析 …………………………………… 49
五、結論……………………………………………………………………………… 57
參考文獻. …………………………………………………………………………… 59
附錄一：常態與相關資料下之完全搜尋法 ………………… …………………… 61
附錄二：在非常態性資料下之完全搜尋法……………………………………… 68
附錄三：在非常態與相關性資料下之完全搜尋法………………………………… 73
作者簡歷………………………………………………………………… ………… 78

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