Loading...
|
Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/36659
|
| Title: | 考慮兩階段相依製程下量測誤差對指數加權移動平均管制圖之效應研究
Effects of Measurement Error on EWMA Control Charts for Two-Step Process |
| Authors: | 何漢葳
Ho, Han-Wei |
| Contributors: | 楊素芬 博士
Dr. Su-Fen Yang
何漢葳
Ho, Han-Wei |
| Keywords: | Imprecise measurement
Dependent processes
EWMA control chart
Cause-selecting |
| Date: | 2002 |
| Issue Date: | 2009-09-18 19:08:54 (UTC+8) |
| Abstract: | 無
In this article, a two-step process is considered to investigate the effects of measurement errors on EWMA
and cause-selecting EWMA control charts. At the end of current process, a pair of imprecise measurements of in-coming quality and out-going quality is randomly taken with individual units.
The linear relationship between in-coming quality and out-going quality is assumed and four possible states of the process are defined with respective distributions of in-coming and out-going
qualities derived. The EWMA control chart with measurement error is then constructed to monitor small-scale shift in mean for the previous process while the cause-selecting control chart, or EWMA control chart based on residuals, including measurement error, is proposed to diagnose the state of current process.
Based on sensitivity analysis, the presence of imprecise measurement diminishes the power of both the EWMA and the proposed control charts and affects the detectability of process disturbances. Further, applications of proposed control charts are demonstrated through a numerical example to show some possible misuses of control charts. If the process mean shifts in a small scale when a single assignable cause occurs on each step, the proposed cause-selecting control chart is more sensitive than other control charts. The Hotelling T^2 control chart is also compared to illustrate the diagnostic advantage outweighed by proposed cause-selecting control chart. |
| Reference: | Abraham, B. (1977), “Control Charts and Measurement Error,” Annual Technical Conference of the American Society for Quality Control 31, 370-374.
Bennett, C. (1954), “Effects of Measurement Error on Chemical Process Control,” Industrial Quality Control 10, No. 4, 17-20.
Bordignon, S. and Scagliarini M. (2002), “Statistical Analysis of Process Capability Indiced With Measurement Errors,” Quality and Reliability Engineering International 18, 321-332.
Crowder, S. V. (1987a), “A Simple Method for Studying Run Length Distributions of Exponentially
Weighted Moving Average Charts,” Technometrics 29, 401-407.
Crowder, S. V. (1987b), “Average Run Lengths of Exponentially Weighted Moving Average Charts,” Journal of Quality Technology 18, 203-210.
Crowder, S. V. (1989), “Design of Exponentially Weighted Moving Average Schemes,” Journal of Quality Technology 21, 155-162.
Holmes, D. S. and Mergen A. E. (1993), “Improving the Performance of the T^2 Control Chart,” Quality Engineering, 5.
Hotelling, H. (1947), “Multivariate Quality Control,” Techniques of Statistical Analysis, edited by Eisenhart, Hastay, and Wallis, McGraw-Hill, New York.
Johnson, R. A. and Wichern, D. W. (2002), Applied Multivariate Statistical Analysis, 5th edition, Prentice-Hall, Inc.
Kanazuka, T. (1986), “The Effects of Measurement Error on the Power of X-bar-R charts,”Journal of Quality Technology 18, 91-95.
Linna, K.W. andWoodall, W. H. (2001), “Effect of Measurement Error on Shewhart Control Charts,” Journal of Quality Technology 33, 213-222.
Lowry, C. A., Woodall, W. H., Champ C. W. and Rigdon S. E. (1992), “A Multivariate Exponentially Weighted Moving Average Control Chart,” Technometrics 34, 46-53.
Mittag, H.-J. (1993), Qualitatsregelkarten (Munich, Hanser).
Mittag, H.-J. (1995), “Measurement Error Effect on Control Chart Performance,” Annual Proceedings of the American Society for Quality Control 49, 66-73.
Mittag, H.-J. and Stemann, D (1993), “Effekte Stochastistcher Mesfehler bei der Anwendung von Shewhart-Regelkarten zur Streuungsuberwachung,” Allgemeines Statistisches Archiv 77, 240-259.
Mittag, H.-J. and Stemann, D (1998), “Gauge Imprecision Effect on the Performance of the X-bar-S Control Chart,” Journal of Applied Statistics 25, No.3, 307-317.
Mizuno, S. (1961), “Problems of Measurement Errors in Process Control,” Bulletin of the International Statistical Institute 38, 405-415.
Montgomery, D. C. (2001). Introduction to Statistical Quality Control, 4th edition, Wiley, New York.
Prabhu, S. S., and Runger, G. C. (1997), “Designing a Mulrivariate EWMA Control Chart,”Journal of Quality Technology 29, 8-15.
Rabinovich, S. G. (2000), Measurement Errors and Uncertainties, 2nd edition, Springer-Verlag New York, Inc.
Rahim, A. (1985), “Economic Model of X-bar Charts Under Non-normality and Measurement Error,” Computers and Operations Research 12, No. 3, 291-299.
Robers, S. W. (1959), “Control Chart Tests Based on Geometric Moving Averages,” Technometrics 1, 239-250.
Sullivan, J. H., and Woodall, W. H. (1996), “A Comparison of Multivariate Quality Control Charts for Individual Observations,” Journal of Quality Technology 28, 398-408.
Tricker, A., Coates, E., and Okell, E. (1998), “The Effect on the R Chart of Precision Measurement,” Journal of Quality Technology 30, 232-239.
Walden, C. T. (1990), “An Analysis of Variables Control Charts in the Presence of Measurement Error,” Unpublished Master’s Thesis, Department of Industrial Engineering,
Mississippi State University, UMI No. 1343291.
Woodall, W. H. and Thomas E. V. (1995), “Statistical Process Control With Several Components of Common Cause Variability,” IIE Transactions 27, 757-764.
Yang, S. (2002), “The Effects of Imprecise Measurement on the Economic Asymmetric X-bar and S Control Charts,” The Asian Journal on Quality 3, No. 2, 46-55.
Yang, S. and Chen, Y. (2003), “Processes Control for Two Failure Mechanisms,” Journal of the Chinese Institute of Industrial Engineers. (To Appear) |
| Description: | 碩士
國立政治大學
統計研究所
90354015
91 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0090354015 |
| Data Type: | thesis |
| Appears in Collections: | [Department of Statistics] Theses
|
Files in This Item:
| File |
Size | Format | |
|---|
| index.html | 0Kb | HTML2 | 341 | View/Open |
|
All items in 政大典藏 are protected by copyright, with all rights reserved.
|
