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| Title: | X bar-S square區域管制圖的最適設計
The Optimal Design of X bar-S Square Zone Control Charts |
| Authors: | 陳智鴻
Chen, Chih-Hon |
| Contributors: | 楊素芬
鐘崑仁
葉小蓁
Yang, Su-Fen
Chung, Kun-Jen
Yeh, Hsiaw-Chan
陳智鴻
Chen, Chih-Hon |
| Keywords: | 管制圖
馬可夫鏈
經濟設計
經濟統計設計
Control chart
Markov chain
Economic design
Economic statistical design |
| Date: | 1996 |
| Issue Date: | 2016-04-28 11:48:25 (UTC+8) |
| Abstract: | 自Duncan在1956年提出管制圖的經濟設計以來,陸續有許多學者提出各種不同型態管制圖的經濟設計,但是在這些文章中,尚無將描點的連串檢定列入考慮者,然而在管制圖中加入描點的連串檢定實有其必要性,加入描點的連串檢定可增加管制圖的偵測能力,但是這種作法頗為麻煩,因此Jaehn(1987)提出了區域管制圖來取代傳統管制圖加上連串檢定的不便,本研究提出X Bar-S Square 區域管制圖的經濟設計以改善一般經濟管制圖未將描點的連串檢定列入考慮的缺點.我們以製程中各項製程和成本資料為因子,對經濟區域管制圖的最佳設計參數值做敏感度分析,以找出製程中的關鍵參數.另外我們應用Saniga(1989)經濟統計管制圖的觀念設計經濟統計區域管制圖.雖然經濟統計區域管制圖所計算出的成本會比經濟區域管制圖稍大,但是在統計表現上卻符合我們的要求. |
| Reference: | [1] .賀全慶(1 993) ,"區域管制圖"品質管制月刊，第二十九卷第四期， pp35-42.
[2]. Champ,C.W.(1986),"Exact Results for Shewhart Control Cahrts With Supplementary Run Rules",unpublished Ph.D. dissertation, University of Southwestern Louisiana,Dept. of Statistics.,pp59.
[3]. Ho Chuanching and Case K. (1994),"An Economic Design of The Zone Control Chart for Jointly Monitoring Process Centering And Variation",Computers and industryal Engineering, Vol. 26,pp213-221.
[4]. Chung,K.J. and Chen,S.L.(1992),"Joint Economically Optimal Design of X and S2 Control Charts" ,Engineering Optimization, Vol. 19 ,pp 101-113 .
[5]. Davis,R.B., Homer` A. and Woodall,W.H.(1990)"Performance of the Zone Control Chart" ,C0l111llUnication in Statistics-Theroy and Methods,VoII9,NO.5,pp1581-1587.
[6]. Duncan A.(1956),"The economic Design of X Charts Used to Maintain Current Control of a Process" ,Journal of the American Statistical Association, Vol SI,pp228-242.
[7]. IMSL Libraty (1989),yser`s Manual MathiLibrary,Fortran Su broutines, IMSL,Inc.
[8]. Jaehn ` A.H.(l987)"Zone Control Charts: a New Tool for Quality Control" ,Tappi jounal,February,pp 159-161.
[9]. Jaehn,A.H.(1987)"Zone Control Charts- SPC Made Easy",Quality, October,pp51-53.
[10]. Jaelm,A.H.(199I)"The Zone Control Charts",Quality Progress, July,pp65-68.
[11]. Jachn,A.H.(1990) , "Zone Control Charts-A New Way To Examine Variation ", Tappi J ournal,August,pp227 -229.
[12]. John,G.K. and J.Laurie,S.(1976), Finite Markov Chains, Springer-Verlag,New York Heidelberg Berlin.
[13]. Juran,J.H. and F.M.Gryna,JR .(1982),Quality Planning and Analysis, TATA McGraw-Hill,Inc.,New York, pp339-341.
[14]. Kuester,J.L. and Mize,J.H.(1973),Optimization Techniques with Fortran,McGraw-Hill,Inc.,New York,NY.,pp309-319.
[15]. Lorenzen,T.J. and Vance,L.C.(1986) ,"The Economic Design of Control Charts: A Unified Approach", Technometrics ,Vol. 28 ` NO.l,pp3-10.
[16]. Montgomery,D.C. , Margaret ,R.P . and Russell,G.H. (1985) "Economic Design of X Control Charts for Tow Manufacturing Process Models",Naval Research Logistics Quarterly, Vol. 32,pp631-646.
[17]. Montgomery,D.C. , Torng,J.C.-C. ,Cochran,J.k. and Lawrence F.P. (1995) "Statistically Constrained Economic Design of the EWMA Control Chart",J ournal of Quality Technology, Vol. 27 ,No.3,pp250-256.
[18]. Montgomery,D.C. , Torng,J.C.-C. , Cochran,J.k. and Lawrence F.P. (1995) "Implementing Statistically Constrained Economic EWMA Control Charts",Journal of
Quality Technology, Vol. 27 ,No.3 ,pp257-264.
[19]. Panagos,M.R. ,Russell,G.H. and Montgomery,D.C.(1985) "Economic Design of X Control Chart for Two Manufacturing Process Models",Naval Research Logistics Quarterly,Vol. 32,pp631-646.
[20]. Rahim,M.A. , Lashkari,R.S. and Banerjee,P.K.(1988),"Joint Economic Design of Mean and Variance Control Charts", Engineering Optimization, Vol. 14,pp65 -78.
[21]. Ross,S.M.(1993),Introdllction to Probability Models, Academic Press.
[22]. Saniga,E.M.(1989):`Economic Statistical Control-Chart Designs With an Application to X and R Chart" Technometrics , Vol. 31 ,NO.3, pp313-320.
[23]. 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
83354011 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#B2002002786 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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