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| Title: | 韋伯分配對偵測小偏移量管制圖的效應研究 |
| Authors: | 盧鑫理 |
| Contributors: | 楊素芬
盧鑫理 |
| Keywords: | 經濟區域管制圖
變動抽樣間隔時間
固定抽樣間隔時間
韋伯模式 |
| Date: | 2001 |
| Issue Date: | 2016-04-15 16:10:12 (UTC+8) |
| Abstract: | 自Duncan提出管制圖的經濟設計以來，陸續有學者提出各種不同型態經濟管制圖的設計。這些文章中，只考慮到特殊原因發生的時間服從期望值為1/Lambda的指數分配，由於指數分配具有固定的失敗率(Hazard Rate)，但實務上很多零組件的壽命卻隨著時間的遞增而增加，若只考慮到指數分配的層面似乎有其欠妥的地方，因此，Hu提出韋伯模式下X-bar經濟管制圖的設計，由於Hu所提出的韋伯模式只考慮到固定抽樣間隔時間的情況，於是Banerjee and Rahim在1987年提出韋伯模式下經濟X-bar管制圖的設計在兩種抽樣方式（變動與固定抽樣間隔時間）下，對單位時間平均成本的影響。上述所提出的韋伯模式下X-bar經濟管制圖，皆未將描點的連串檢定列入考慮，Jaehn的區域管制圖不但可以解決管制圖沒將描點的連串檢定列入考慮的缺失，在操作上亦比管制圖加上連串檢定方便。 |
| Reference: | [1] 賀全慶(1993)，”區域管制圖”，品質管制月刊，第二十九卷第四期，pp35-42.
[2] 楊素芬與陳智鴻(1997)，” 區域管制圖的最適設計，中國統計學報，第三十五卷第一期，pp63-80.
[3] Banerjee P.K. and Rahim M.A. (1987)”The Economic Design of Control Charts: A Renewal Theory Approach”，Eng. Opt.，Vol.12 ，pp63-73.
[4] Banerjee P.K. and Rahim M.A. (1988)”Economic Design of -Control Charts Under Weibull Shock Models”，Technometrics，November，Vol.30，No.4，pp407-414.
[5] Champ,C.W. and Woodall,W.H.(1987)”Exact Result for Shewhart Control Charts With Supplementary Runs Rules”，Technometrics 29，pp393-399.
[6] Chun and Davis, R.B.(1991)”Calculation of Average Run Lengths for Zone Control Charts With Specified Zone Scores”，Journal of Quality Technology，October，Vol.23，No.4，pp355-358.
[7] Davis,R.B.，Homer,A.， and Woodall,W.H(1990)”Performance of the Zone Control Chart”，Communication in Statistics-Theory and Methods，Vol. 19，No.5，pp1581-1587.
[8] Hu,P.W.(1984)”Economic Design of an -Control Chart Under Non-Poisson Process Shift”，Abstract，TIMS/ORSA Joint National Meeting，San Francisco，May 14-16，p87.
[9] IMSL Library(1996),User’s Manual Library,Fortran Subroutines, IMSL,Inc.
[10] Jaehn，A.H.(1987)”Zone Control Charts: a New Tool for Quality Control”，Tappi Journal，February，pp159-161.
[11] Jaehn，A.H.(1990)”Zone Control Charts-A New Way To Examine Variation”，Tappi Journal，August，pp227-229.
[12] Jaehn，A.H.(1991)”The Zone Control Charts”，Quality Progress，July，pp65-68.
[13] Lorenzen,T.J. and Vance,L.C.(1986)”The Economic Design of Control Charts: A Unified Approach”，Technometrics，Vol.28，No.1，pp3-10.
[14] Montgomery,D.C.，Margaret,R.P.，and Russell,G.H.(1985)”Economic Deisgn of Control Charts for Two Manufacturing Process Models”，Naval Research Logistics Quarterly，Vol.32，pp631-646.
[15] Ross S.M.(1993)，Introduction to Probability Models，Academic Press.
[16] Saniga,E.M.(1989)”Economic Statistical Control-Chart Designs With an Application to and Chart”，Technometrics，Vol.31，No.3，PP313-320. |
| Description: | 碩士
國立政治大學
統計學系
88354011 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#A2002001353 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
|
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