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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/75058

    Title: Economic design of two-stage non-central chi-square charts for dependent variables
    Authors: Tsai, Tzong-ru;Chiang, Jyun-you;Chang, Shing-i
    Contributors: 淡江大學統計學系
    Keywords: Economic design;Markov chain approach;Non-central chi-square chart;Surrogate variable;Two-stage control charts
    Date: 2011-11
    Issue Date: 2012-03-11 20:14:32 (UTC+8)
    Publisher: Elsevier
    Abstract: Non-central chi-square charts are more effective than the joint View the MathML source and R charts in detecting small mean shifts or variance changes of a performance variable. However, the cost may be high to monitor a primary quality characteristic, such as the weight of each bag in a cement filling process. It is more economical to monitor a surrogate variable, for example, the milliampere of the load cell. When the correlation of the performance variable of surrogate variable exists, this article proposes a two-stage charting design to monitor either the performance variable or its surrogate variable in an alternating fashion rather than monitoring the performance variable alone. The proposed method simplifies process monitoring when users only concern about whether a process is in control or not. The application of the proposed method and the advantages of the proposed chart over the existing methods are presented through an example. Numerical results show that the proposed chart is insensitive on the correlation of the performance variable and surrogate variable even when the historical information on the correlation coefficient is not very accurate.
    Relation: Computers & Industrial Engineering 61(4), p.970-980
    DOI: 10.1016/j.cie.2011.06.009
    Appears in Collections:[統計學系暨研究所] 期刊論文

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