新的R管制圖—使用調整的加權標準差法

當品質特徵來自一個偏態分配時，本論文針對調整的加權標準差R 管制圖、加權變異數R 管制圖和偏態修正的R 管制圖進行數值研究及比較。在考慮製程分配為Weibull、gamma和lognormal分配下。本論文比較上述三種不同的R 管制圖的型一誤差與名目值0.27%的接近程度。當製程資料來自平均數已知的指數分配時，研究的結果顯示調整的加權標準R 管制圖不論在型一誤差及型二誤差都比其他的兩個R 管制圖接近真值。

關鍵字

調整的加權標準差R管制圖；偏態分配；型一風險

並列摘要

The thesis conducts a numerical study in comparing the performance of the adjusted weighted standard deviation R chart, weighted variance R chart, and the skewness correlation R chart with the underlying distribution of quality characteristic is skewed. Assume that the underlying distribution is Weibull, gamma, and lognormal, we compare the Type I Risk of those R chart how to be close to the nominal value 0.27%. If the process distribution is exponential with known mean, we show that not only the Type I Risk, but also the Type II Risk of the adjusted weighted standard deviation R chart are closer to those of the exact R chart than both weighted variance R chart and skewess correlation R chart.

並列關鍵字

Adjusted WSD R Chart ； Skewed Distribution ； Type I Risks

參考文獻

Bai, D. S. and Choi, I. S. (1995), and R control charts for skewed populations. Journal of Quality Technology, 27, pp.120-131.

Bittanti, S., Lovera, M., Moriraghi, L. (1998), Application of non-normal process capacility indices to semiconductor quality control. IEEE Transactions On Semiconductor Manufacturing, 11, pp. 296-303.

Chan, L. K. and Cui, H. J. (2003), Skewness correction and R charts for skewed distributions. Vol. 50, Naval Research Logistics, pp. 1-19.

Chang, Y. S. and Bai, D. S. (2001), Control charts for positively-skewed populations with weighted standard deviations. Quality and Reliability Engineering International, Vol.17, pp. 397-406.

Chang, Y. S. and Bai, D. S. (2004), A Multivariate T2 control chart for skewed populations using weighted standard deviations. Quality and Reliability Engineering International, Vol.20, pp. 31-46.

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新的R管制圖—使用調整的加權標準差法

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