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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/99315
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/99315

    Title: 中位數和四分位距管制圖設計之研究
    Study on Design of Median and IQR Control Charts for Monitoring Location and Dispersion
    Authors: 姜亭安
    Contributors: 楊素芬
    Keywords: 平均連串長度
    Average run length
    Statistical process control
    Double sampling
    Date: 2016
    Issue Date: 2016-07-20 16:53:05 (UTC+8)
    Abstract: 不論在製造流程或是其他產業上,管制圖是一個能夠監督流程失控的非常有效工具。不受分配限制的管制圖的發展對於非常態或分配未知的品質變數是非常重要的。根據無母數方法所建立的不受分配限制的管制圖對使用者來說是不容易的,因為他們並不是統計學家。本文提出了一種簡單的指數加權移動平均(EWMA)中位數和四分位距管制圖,採用單次抽樣方法和雙次抽樣方法以分別監控製程的位置與離散程度。此外,本文亦提出了一種核密度估計方法的管制區以同時監控製程的位置與離散程度。這裡以平均連串長度(ARL)來衡量所提出的管制圖的偵測效果。我們比較所提出的管制圖以及現有的一些不受分配限制的管制圖的偵測效果。以服務時間的示例來說明所提出的指數加權移動平均中位數管制圖、指數加權移動平均四分位距管制圖和核密度估計方法的管制區的應用。與其他現有的不受分配限制的管制圖相比,所提出的管制圖在製程的位置與離散有小幅度的偏移時有較好的偵測效果。因此,我們建議可以使用所提出的管制圖。
    Control charts are effective tools for monitoring the process parameters in manufacturing processes and other industries. The development of distribution-free charts is important for non-normal or unknown distributed quality variable in statistical process control. The distribution-free control charts based on nonparametric statistics are not easy for practitioners to apply because they are not statisticians and do not know the scheme. This paper proposes a simple EWMA median chart and IQR char with single sampling scheme and double sampling scheme to monitor the location and dispersion, respectively. Furthermore, a kernel control region is proposed for monitoring the location and dispersion simultaneously. The average run lengths (ARL) is used to measure the detection performance of the proposed control chart(s). We compare the location and dispersion detection performance of the proposed charts and those of some existing distribution-free charts. An example of service times is used to illustrate the application of the proposed EWMA median and EWMA IQR charts and kernel control region. The proposed charts show superior detection performance compared to the existing distribution-free location and dispersion charts when the shifts in process location and/or dispersion are small. The SS EWMA-Md and DS EWMA-D charts and SS kernel control region are thus recommended.
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    Description: 碩士
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G1033540051
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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