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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/76857


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    題名: 動態機率管制界線的二項累積和管制圖的設計
    Design of Binomial CUSUM Charts with Dynamic Probability Control Limits
    作者: 卓緯倫
    Cho, Wei Lun
    貢獻者: 楊素芬
    Yang, Su Fen
    卓緯倫
    Cho, Wei Lun
    關鍵詞: 不合格率
    累積和
    積分方程式
    動態管制界線
    快速起始反應
    高良率製程
    統計製程管制
    Fraction Nonconforming
    Cumulative sum
    Integral equation
    dynamic control limits
    fast initial response
    high yield process
    statistical process control
    日期: 2015
    上傳時間: 2015-07-27 11:21:16 (UTC+8)
    摘要: 傳統的二項累積和(CUSUM)管制圖是監測不合格率變化的有效工具。在本文中，我們考慮了俱有機率管制界線的二項CUSUM管制圖的設計，旨在控制每一期的條件誤報率達到所需的值。與固定的管制界線相比，機率管制界線將會是動態的，且更一般化、更能適應各種複雜的實際情況。在本文中，我們著重在機率管制界線的決定。藉由積分方程式法的發展，以促成動態二項加權CUSUM管制圖的設計與分析。俱有機率管制界線或固定管制界線的二項加權CUSUM管制圖與是否俱有快速起始反應特性的管制圖皆進行了比較。此外，在高良率的情境下，我們互相比較俱有機率管制界線與固定管制界線的二項加權CUSUM管制圖在製程失控時的偵測力表現。舉了一個例子來說明該如何應用所提出的管制圖。比較的結果顯示，動態界線的管制圖優於固定管制界線的管制圖，且在高良率的情況下，若樣本數越大，對動態管制界線的管制圖越有利。
    The conventional binomial CUSUM chart is an efficient tool for monitoring changes in fraction nonconforming. In this paper, we consider the design of Binomial CUSUM charts with probability control limits aimed at controlling the condi- tional false alarm rate at the desired value at each time step. The resulting control limits would be dynamic, which are more general and capable of accommodating more complex situations in practice as compared to the use of a constant control limit. In this paper, We focus on the determination of the probability control limits. An integral equation approach is developed to facilitate the design and analysis of the binomial WCUSUM control chart with probability control limits. The performance of the binomial WCUSUM charts with probability and constant control limits and the binomial WCUSUM charts with and without the fast initial response feature are compared. Besides, we compared the out-of-control detection perfromance of the binomial WCUSUM charts with probability and constant control limits for high yield process. An example is used to illustrate the application of the proposed control chart. Our comparisons show that the binomial WCUSUM chart with probability control limits generally outperforms the WCUSUM chart with constant control limits, and the conventional binomial CUSUM control chart with a constant control limit for high yield process when the sample size is large.
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    描述: 碩士
    國立政治大學
    統計研究所
    102354006
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0102354006
    資料類型: thesis
    顯示於類別:[統計學系] 學位論文

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