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    题名: 捲積管制圖之設計
    The design of the convolution chart
    作者: 鄭鈞遠
    Cheng, Chun-Yuan
    贡献者: 楊素芬
    鄭鈞遠
    Cheng, Chun-Yuan
    关键词: 管制圖
    高良率製程
    量測誤差
    捲積
    control chart
    high yield process
    measurement error
    convolution
    日期: 2010
    上传时间: 2013-09-05 15:12:07 (UTC+8)
    摘要: 量測誤差是工業製程中影響產品值常見的因素。大的量測誤差會使得產品的量測值偏離實際值,並引導監控者至錯誤的結論。本文提出一種新的捲積管制圖。提出指數分配形式的時間間隔型資料,並加上量測誤差的考量,應用在指數加權移動平均管制圖上。此外,假設量測誤差為常態或是指數分配。研究顯示出,在兩種不同分配的量測誤差之下,管制圖的表現都會顯著的受到影響。
    Measurement error is an important factor in industry that influences the outcome of a process. Large measurement error would cause the observation measure deviate from the true value and consequently lead to a wrong decision. In this project, we propose a convolution control chart. We then design the EWMA ‘time between events’ (TBE) control chart with the measurement error, with the assumption that the observations are exponentially distributed. In addition, we assumed the measurement error follows a normal distribution or an exponential distribution. We showed that, in two cases of the measurement error, the performance of the proposed chart monitoring the process mean is greatly affected.
    參考文獻: Reference
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    17. Serel, D. A. Economic design of EWMA control charts based on loss function. Mathematical and Computer Modeling. 2009, 49, 745-759.
    18. Sharma, P. R. A study of properties and applications of control charts for high yield processes. 2003, Department of industrial & systems engineering the national university of Singapore.
    19. Shewhart, W. A. The application of statistics as an aid in maintaining quality of a manufactured product. Journal of the American Statistical Association. 1925, 20, 546-548.
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    描述: 碩士
    國立政治大學
    統計研究所
    98354003
    99
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0098354003
    数据类型: thesis
    显示于类别:[統計學系] 學位論文

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