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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/66646


    Title: 少量連串生產下R管制圖之最適設計
    Other Titles: The Optimal Design of R. Control Chart for Small Production Runs
    Authors: 楊素芬;嚴珮文
    Yang, Su-Fen;Yen, Pei-Wen
    Contributors: 統計所
    Keywords: 管制圖;少量連串;非機遇因素;更新理論
    Assignable causes;Control charts;Small runs;Renewal theory
    Date: 1996.03
    Issue Date: 2014-06-10 17:56:59 (UTC+8)
    Abstract: 管制圖之經濟模型首由Duncan (1956) 提出。自此之後陸續有學者致力各種經濟管制圖之研究，包括X管制圖、X和R管制圖及S管制圖等。但單獨R管制圖之經濟設計目前尚無人提出。而在實務上，非機遇因素之發生是有可能只影響製程變異數，而不影響製程平均數。另外，產業也可能由於生產之產品量少或過於昂貴，或者產品的製造時間所需甚長，而使得品檢時所抽取的樣本數無法達到25個，這時若採用傳統的管制圖來分析製程，將無法顯示製程是否真正處於穩定的狀態。因此本研究首先報討少量連串生產下R管制圖之製作原理，並計算及整理出較完整的少量連串生產下R圖的管制係數表。接著假設非機遇因素只影響製程變異，運用Banerjee and Rahim (1987) 的更新理論方法，建立少量連串 生產下的R圖經濟模式，再利用最適化方法，即可求得最適設計參數值。於是，少量連串生產下的R經濟管制圖得以建立。最後，我們將舉一個例子來說明少量連串生產下R經濟管制圖之建立與應用。
    Economic design of control charts was first addressed by Duncan (1956). So far, the economic design of R control chart has not been considered. In this paper we consider the optimal design of R control chart for small production runs. For various combinations of the number of samples and the size of each sample, control coefficients of R control chart are calculated by numerical methods. Using these results, an optimal design of R control chart for small runs is developed to monitor the process variability correctly. Finally, the development and applications of the economic R chart are illustrated by an example.
    Relation: 中國統計學報, 34(1), 51-65
    Data Type: article
    Appears in Collections:[Department of Statistics] Periodical Articles

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