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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/139852


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/139852


    Title: A new loss-based control chart
    新的損失管制圖
    Authors: 楊素芬
    Yang, Su-Fen
    盧尚文
    Contributors: 統計系
    Keywords: loss function;control chart;non-normal distribution
    損失函數;管制圖;非常態分配
    Date: 2020-04
    Issue Date: 2022-04-12
    Abstract: The quality and loss of products are crucial factors separating competitive companies in global market. Firms widely employ a loss function to measure the loss caused by a deviation of the quality variable from the target value. Monitoring this deviation from the process target value is important from the view of Taguchi`s philosophy. In practice, there are many situations where the interested data distribution may be or not be normal. This paper aims at developing a new loss control chart for monitoring process loss center under non-normal distributions. We proposed an unbiased new average run length (ARL) to measure the detection performance of the proposed loss control chart. The numerical approach of calculating feasible control limits with unbiased ARL of the loss control chart is developed. Numerical results demonstrate the reasonable and reliable out-of-control detection performance of the proposed new ARL-unbiased loss control chart. We recommend applying the proposed ARL-unbiased loss control chart to monitor the loss center for non-normal quality variable.
    產品的品質和損失是全球公司市場競爭的關鍵因素。企業廣泛採用損失函數以衡量品質變數偏離目標值所造成的損失。從田口哲學的角度來看，管控製程目標值的偏差非常重要。在實務上，感興趣的數據分配有可能是非常態的。本研究旨在開發一種新的損失管制圖，以用於追蹤非常態分配下的製程損失中心。我們提出了一種無偏差的平均連串長度來衡量所提出的損失管制圖對偵測出失控製程的能力，並發展出計算無偏差平均連串長度損失管制圖的可行管制界限的數值方法。數值結果證明所提出的無偏差平均連串長度的損失管制圖用於偵測失控製程能力的合理性和可靠性。我們建議應用無偏差平均連串長度的損失管制圖以合理並有效追蹤非常態分配下的製程損失中心。
    Relation: Journal of Quality, Vol.27, No.2, pp.69-82
    Data Type: article
    DOI 連結: https://doi.org/10.6220/joq.202004_27(2).0001
    DOI: 10.6220/joq.202004_27(2).0001
    Appears in Collections:[統計學系] 期刊論文

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