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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/85134


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/85134


    Title: 量測誤差對偵測小幅偏移量管制圖之效應
    Authors: 蔡麗美
    Tsai, Li-Mei
    Contributors: 楊素芬
    蔡麗美
    Tsai, Li-Mei
    Keywords: 管制圖
    量測誤差
    數值方法
    馬可夫鏈
    平均連串長度
    Date: 2001
    Issue Date: 2016-04-15 16:09:59 (UTC+8)
    Abstract: 對於任何一種產品不論其設計如何完善，製造過程如何完備，機器如何精密，操作技術如何純熟，所製造出來的產品一定會有所差異。造成產品差異性的原因有很多，其中因素之一為:量測產品的特性所使用的量測設備，可能因為量測的不精確進而存在量測誤差，以至於測量產品特性值不正確。以往建立管制圖之數學模式中，大多不考慮測量誤差的存在，因為一般認為量測誤發生次數或頻率太少，故在模式中忽略了量測誤差的重要性。目前沒有相關文獻探討量測誤差對偵測小偏移量管制圖之效應，因此本研究考慮在製程含有量測誤差的情形下建立EWMA管制圖和 區域管制圖，且分別以Crowder(1987a,b)提出的數值方法和Davis, Homer and Woodall(1990)提出的馬可夫鏈(Markov Chain)的方法計算EWMA管制圖和 區域管制圖之平均連串長度，分析探討量測誤差分別對EWMA管制圖和 區域管制圖的設計參數及偵測能力之影響，最後比較EWMA管制圖和 區域管制圖的偵測力差異。
    Reference: 1. 楊俊輝(1992)”非常態與測量誤差下 管制圖之經濟模式:敏感度分析”，國立台灣工業技術研究所工業管理組,未出版的碩士論文。
    2. 賀全慶(1993)，”區域管制圖”，品質管制月刊，第二十九卷，pp35-42。
    3. Crowder, S. V.(1987a),”A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts”,Technometrics, Vol.29 No.4, pp401-407.
    4. Crowder,S.V.(1987b),”Average Run Lengths of Exponentially Weighted Moving Average Control Charts”, Journal of Quality Technology,Vol.19,No.3,pp161-164.
    5. Davis,R.B.,Homer,A. and Woodall,W.H.(1990).“Performance of the zone control chart”. Communication in statistics-Theroy and Methods 19,1581-1587.
    6. Hunter,J.S.(1986),”The Exponentially Weighted Moving Average”, Journal of Quality Technology,Vol.18, pp239-250.
    7. Jaehn,A.H.(1987a),”Zone Control Charts: a New Tool for Quality Control”, Tappi journal, February,pp159-161.
    8. Jaehn,A.H.(1987b),”Zone Control Charts-SPC Made Easy”,Quality,October,pp51-53.
    9. Jaehn,A.H.(1990),”Zone Control Charts-A New Way To Examine Variation”, Tappi journal,August,pp227-229.
    10. Jaehn,A.H.(1991),”The Zone Control Chart”, Quality Progress,July,pp65-68.
    11. Juran,J.M.(1994),” The Century of Quality”, Manufacturing Engineering,Vol.13, No.3,pp10-12.
    12. Lucas,J.M.,and Saccucci M.S.(1987),”Exponentially Weighted Moving Average Control Schemes:Properties and Enhancements”,Facully Working Series Paper 87-5, Drexel University,Dept. of Quantitative Methods.
    13. Montgmery D.(1996),Introduction to Statistical Quality Control,John Wiley & Sons,Inc.,New York.
    14. Mittag, H.-J. and D.S.(1998),”Gauge imprecision effect on the performance of the control chart”, Journal of Applied Statistics,Vol.25,No.3,pp307-317.
    15. Rahim,M(1985),”The Economic Design of x-Chart under Nonnormality and Measurement Errors.”, Comput. &Ops.,Vol.12,No.3,pp291-299.
    16. Roberts,S.W.(1959),”Control charts based on geometric moving averages”, Technometrics,1,pp234-250.
    17. Robinson,P.B. and Ho,T.Y. (1978),”Average Run Lengths of Geomertric Moving Average Charts by Numerical Methods”, Technometrics, Vol.20 No.1,pp85-93.
    18. Ross,S.M.(1993).Introduction to Probability Models. Academic Press, New York.
    19. Shewhart, W. (1931). Economic Control of Quality of Manufactured Product. D. Van Nostrand Company, Inc.
    Description: 碩士
    國立政治大學
    統計學系
    88354014
    Source URI: http://thesis.lib.nccu.edu.tw/record/#A2002001347
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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