政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/30907

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/30907

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政大典藏 > College of Commerce > Department of Statistics > Theses > Item 140.119/30907

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/30907

Title:	全製程過度調整下之變動抽樣時間 Economic Design of VSI Control Charts for Monitoring Over-adjusted Process
Authors:	柯芝穎
Contributors:	楊素芬柯芝穎
Keywords:	管制圖過度調整製程變動抽樣區間 Control charts Over-adjusted process Variable sampling interval Markov chain
Date:	2005
Issue Date:	2009-09-14
Abstract:	The over-adjustment means that the process is adjusted unnecessarily when a false alarm occurs. It may result in shifts in process mean and variance affecting the quality of products and have the effect of an increase in variability and cost. In this paper, the economic variable sample interval (VSI) standard and control charts are proposed to monitor effectively the mean and variance of the over-adjusted process. We use a Markov chain approach to derive the design parameters of the standard and charts by the minimum of the cost function. An example of shampoo making process is used to illustrate the application and performance of the proposed VSI standard and charts in detecting shifts in process mean and variance. Furthermore, we compare the cost and performances for the economic FSI (fixed sampling interval) and VSI control charts. Support for this research was provided in part by the National Science Council of the Republic of China, grant No. NSC 94-2118-M-004-003. The over-adjustment means that the process is adjusted unnecessarily when a false alarm occurs. It may result in shifts in process mean and variance affecting the quality of products and have the effect of an increase in variability and cost. In this paper, the economic variable sample interval (VSI) standard and control charts are proposed to monitor effectively the mean and variance of the over-adjusted process. We use a Markov chain approach to derive the design parameters of the standard and charts by the minimum of the cost function. An example of shampoo making process is used to illustrate the application and performance of the proposed VSI standard and charts in detecting shifts in process mean and variance. Furthermore, we compare the cost and performances for the economic FSI (fixed sampling interval) and VSI control charts. Support for this research was provided in part by the National Science Council of the Republic of China, grant No. NSC 94-2118-M-004-003.
Reference:	[1] Amin, R.W. , Miller, R.W. (1993), “A robustness study of charts with variable sampling intervals”, Journal of Quality Technology, Vol. 25, pp. 36-44 [2] Baxley, R.V. (1995), “An application of variable sampling interval control charts”, Journal of Quality Technology, Vol. 27 , pp. 275-282 [3] Collani, E.V. , Saniga, E.M. , Weigand (1994), “Economic adjustment designs for control charts”, IIE Trans, Vol. 26, pp.37-43 [4] Duncan, A.J. (1956), “The Economic design of charts used to Maintain current control of a process”, Journal of American Statistical Association, Vol. 51, pp. 228-242 [5] Deming, W.E. (1982), “Quality, productivity and competition Position”, MIT Press, Cambridge, MA [6] Ho, C, Case, K (1994), “An economic design of the zone control chart for jointly monitoring process centering and variation”, Comput Indust Eng, Vol.26, pp.213–221 [7] Lorenzen, T. , Vance, L. (1986), “The Economic design of control charts: A unified approach”, Technometrics, Vol. 28, pp.3-10 [8] Montgomery, D.C. (1980), “The economic design of control charts: a review and literature survey”, Journal of Quality Technology, Vol. 12, pp.75-78 [9] Reynolds, M.R. (1996), “Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times”, Journal of Quality Technology, Vol. 28, pp. 199-212 [10] Reynolds, M.R. , Amin, R.W., Arnold, J.C., Nachlas, J.A. (1988), “ charts with variable sampling intervals”, Technometrics, Vol. 30, pp.181-192 [11] Reynolds, M.R. , Amin, R.W., Arnold, J.C. (1990), “CUSUM Charts with Variable Sampling Intervals”, Technometrics, Vol. 32, No. 4, November 1990, pp. 371-384 [12] Reynolds, M.R. , Arnold, J.C. , Baik, J.W. (1996), ” Variable sampling interval charts in the presence of correlation”, Journal of Quality Technology Vol. 28, pp. 1-28 [13] Runger, G.C. , Montgomery, D.C. (1993), “Variable sampling enhancements for Shewhart control charts”, IIE Transactions, Vol. 25, pp. 41-51 [14] Runger, G.C. , Pignatiello, J.J. (1991), “Variable sampling for process control”, Journal of Quality Technology, Vol. 23, pp. 135-155 [15] Shewhart W (1931), ”Economic control of quality of manufactured product”, D Van Nostrand, New York [16] Ross, S.M (1993), Introduction to probability models. Academic Press, New York [17] Vance, L.C. (1983), “A bibliography of statistical quality control chart techniques”, Journal of Quality Technology, Vol. 15, pp.59-62 [18] Woodall, W.H. (1986), “Weakness of the economic design of control charts”, Technometrics, Vol. 28, pp.408-409 [19] Saccuci, M.S. , Amin, R.W. , Lucas, J.M. (1992), “Exponentially weighted moving average control schemes with variable sampling intervals”, Communication in Statistics-Simulation and Computation, Vol. 21, pp. 627-657 [20] Svoboda, L. (1991), ”Economic design of control charts: a review and literature survey”, in Statistical Process Control in Manufacturing, J. B. Keats and D. C. Montgomery, Dekker, New York [21] Yang, S. , Yang, C. (2004), ”Economic statistical process control for over-adjusted process means”, International Journal Quality and Reliability Management, Vol. 21, pp. 412-424 [22] Yang, C. , Yang, S. (2006), ”Design of ASI control chart for controlling over-adjusted process mean”, ISBIS 5, Lima, Peru.
Description:	碩士國立政治大學統計研究所 93354024 94
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0093354024
Data Type:	thesis
Appears in Collections:	[Department of Statistics] Theses

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