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題名:有效率之抽樣法運用於CD-RW重覆讀寫度測試
書刊名:管理與系統
作者:陳啟斌 引用關係林進財張幸宜史珊琦劉振權
作者(外文):Chen, Chie-beinLin, Chin-tsaiChang, Xing-yiShih, Shan-chiLin, Chen-chuan
出版日期:2001
卷期:8:1
頁次:頁79-95
主題關鍵詞:抽樣壽命測試逐次抽樣法逐次抽樣機率比重覆讀寫度可重覆讀寫光碟SamplingLife testingSequential testSequential probability ratio testCycliabilityCompact disc-rewrittableCD-RW
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     對於可重覆讀寫光碟(Compact Disc-Rewrittable:CD-RW)之重覆讀寫壽命(又稱重覆讀寫度;Cycliability)測試,做全數測試不但費時且浪費成本,此種測試為破壞性測試且需花約2.5天/片。本文之研究重點在於推導出CD-RW重覆讀寫度測試,在生產線上每次抽樣測試所需之間隔批量大小(l)及每次抽樣樣本數(n)。逐次抽樣法被使用於本文之目的在於減少n值。而逐次抽樣法之往下單向規格的決定是根據逐次抽樣機率比、α與β(即型I和型II誤差之風險機率)、可重覆讀寫度(或燒錄)次數(t)、可重覆讀寫次數之公差(T)及測試重覆讀寫度母全體之標準差(σ)等。此單向規格可以用來決定CD-RW之重覆讀寫度所需之n值。理論上,逐次抽樣法之平均樣本數(ANSS)亦可由上述之α,β,t,T及σ而求得。另外,本文依據卡方分配之自由度、(1-σ)信賴水準及樣本變異S2來決定出其估計母體變異數σ2之範圍(即Estimated Range ofσ2;ERσ2)。並利用卡方近似值反函數式在不同信賴水準下,v = (m – 1),ERσ2與n之關係來推導出在生產線上抽樣時所需之抽樣間隔批量大小值。
     100% of Compact Disc-Rewrittable (CD-RW) life testing (or cycliability testing) is time-consuming and costly. Since this kind of testing is a destructive test and need spend 2.5 ~ 3 days/piece. Therefore, the research focus is to derive the intermittent batch sizes (l) and sample sizes (n) in the production line for every cycliability testing of CD-RW. It is noted that sequential test method reduces the sample sizes, n, greatly. A downward specification of sequential tests based on the sequential probability ratio test, risk levels of α andβ (ie., Type I and Type II error), estimated written-counts, t, of CD – RW, and the tolerance, T, of written-count, and the population standard deviation, α, of written-count have been applied to determine the sample sizes, n, for cycliability test of CD-RW. Theoretically, the average number of sample sizes (ANSS) for sequential test required determining the cycliability of CD-RW has also been derived based onα, β, t, T andσ. Furthermore, the degree of freedom in chi-square distribution, (1 –σ) level of confidence and sampling variance S2 have been used to determine the estimated range ofσ2 (ERσ2). An inverse chi-square approximation have also been used to determine the relationship between v = (m – 1), ERσ2 and n at different levels of confidence to determine the batch sizes, l, in a production line.
期刊論文
1.林煥章、陳銘毅(1998)。CD-RW光碟片之設計開發。工業材料,138,148-156。  延伸查詢new window
2.梁鉅銘(1995)。相變化光碟片記錄之原理。光訊,10。  延伸查詢new window
3.陳啓斌、魏秋建(1997)。Efficient Sampling for Computer Vision Roundness Inspection。International Journal of Computer Integrated Manufacturing,10(5),346-359。  new window
會議論文
1.Wilson, E. B.、Hilferty, M. M.(1931)。The Distribution of Chi-square Procedure。沒有紀錄。684-688。  new window
圖書
1.Schilling, E. G.(1982)。Acceptance Sampling in Quality Control。Acceptance Sampling in Quality Control。0。  new window
2.Hines, W. W.、Montgometry, D. C.(1982)。Probability and Statistics in Engineering and Management Science。Probability and Statistics in Engineering and Management Science。New York, NY。  new window
3.Hoel, P. G.(1984)。Introduction to Mathematical Statistics。Introduction to Mathematical Statistics。New York, NY。  new window
4.Zacks, S.(1992)。Induction to Reliability Analysis Probability Models and Statistical Methods。Induction to Reliability Analysis Probability Models and Statistical Methods。New York, NY。  new window
 
 
 
 
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