Page Header

Home > Vol 15, No 4 (Oct.–Dec. 2022) > Taboran

An Enhanced Performance to Monitor Process Mean with Modified Exponentially Weighted Moving Average – Sign Control Chart

Rattikarn Taboran, Saowanit Sukparungsee

Abstract


The purpose of this research is to enhance performance for detecting a change in process mean by combining modified exponentially weighted moving average and sign control charts. This is nonparametric control chart which effective alternatives to the parametric control chart so called MEWMA-Sign. The nonparametric control chart can serve when process observations is deviated from normal distribution assumption. Generally, the performance of control charts are widely measured by average run length (ARL) divided into two cases; in control ARL (ARL0) and out of control ARL (ARL1). In this paper, the performance comparison is investigated when processes are non-normal distributions. The performance of the MEWMA-Sign is compared EWMA-Sign control chart by considering from a minimum value of ARL1. The numerical results found that the MEWMASign performs better than EWMA-Sign in order to detect a very small shift of mean process. Additionally, the real application of the MEWMA-Sign and EWMA-Sign are presented.

Keywords



[1] D. C. Montgomery, Introduction to Statistical Quality Control Case Study. New York: John Wiley and Sons, 2008.

[2] B. Mason and J. Antony, “Statistical process control: An essential ingredient for improving service and manufacturing quality,” Managing Service Quality: An International Journal, vol. 10, pp. 233–238, 2000.

[3] J. Kim, G. M. Abdella, S. Kim, K. N. Al-Khalifa, and A. M. Hamouda, “Control charts for variability monitoring in high-dimensional processes,” Computers & Industrial Engineering, vol. 130, pp. 309–316, Feb. 2019, doi:10.1016/ j.cie.2019.02.012.

[4] R. R. Sitter, L. P. Hanrahan, D. De Mets, and H. A. Anderson, “A monitoring system to detect increased rates of cancer incidence,” American Journal of Epidemiology, vol. 132, pp. 123–130. 1990.

[5] M. Frisen, “Evaluations of methods for statistical surveillance,” Statistics in Medicine, vol. 11, pp. 1489–1502, 1992.

[6] B. A. Ergashev, “On a CAPM monitoring based on the EWMA procedure,” presented at the 9th International Conference of the Society for Computational Economics and Finance, Seattle, Jul. 11–13, 2003.

[7] V. Golosnoy and W. Schmid, “EWMA control charts for monitoring optimal portfolio weights,” Sequential Analysis, vol. 26, pp. 195–224. 2006.

[8] M. Basseville and I. V. Nikiforov, Detection of Abrupt Changes: Theory and Applications. New York: Prentice-Hall, 1993.

[9] S. Ozilgen, S. Bucak, and M. Ozilgen, “Improvement of the safety of the red pepper spice with FMEA and post processing EWMA quality control charts,” Chemistry of Food Science and Technology, vol. 50, no. 3, pp. 466–476, 2011, doi: 10.1007/s13197-011-0371-7.

[10] W. A. Shewhart, Economic Control of Quality of Manufactured Product. New York: D. Van Nostrand Company, 1931.

[11] E. S. Page, “Continuous inspection schemes,” Biometrika, vol. 41, pp. 100–144, 1954.

[12] S. W. Roberts, “Control chart tests based on geometric moving average,” Technometrics, vol. 1, pp. 239–250, 1959.

[13] S. W. Butlet and J. A. Stefani, “Supervisory run-to-run control of a polysilicon gate etch using in situ ellipsometry,” IEEE Transaction on Semiconductor Manufacturing, vol. 7, pp. 193–201, 1994.

[14] M. B. C. Khoo, “A moving average control chart for monitoring the fraction nonconforming,” Quality and Reliability Engineering International, vol. 20, pp. 617–635, 2004.

[15] M. B. C. Khoo and V. H. Wong, “A double moving average control chart,” Communication in Statistics – Simulation and Computation, vol. 37, pp. 1696–1708, 2008.

[16] S. S. Alkahtani, “Robustness of DEWMA versus EWMA control charts to non-normal processes,” Journal of Modern Applied Statistical Methods, vol. 12, pp. 148–163, 2013.

[17] N. Abbas, M. Riaz, and R. J. M. M. Does, “Mixed exponentially weighted moving average-Cumulative sum charts for process monitoring,” Quality and Reliability Engineering International, vol. 29, pp. 345–356, 2013.

[18] N. Abbas, M. Riaz, and R. J. M. M. Does, “CSEWMA chart for monitoring process dispersion,” Quality and Reliability Engineering International, vol. 29, pp.653–663, 2013.

[19] N. Thongrong, S. Sukparungsee, and Y. Areepong, “Evaluation of average run length of nonparametric EWMA sign control chart by Markov chain approach,” The Journal of KMUTNB, vol. 26, No. 3, pp. 487–497, 2016 (in Thai).

[20] A. Prarisudtipong, Y. Areepong, and S. Sukparungsee, “An approximation of average run length for nonparametric arcsine EWMA sign control chart using Markov chain approach,” The Journal of KMUTNB, vol. 27, no. 1, pp. 140–146, 2017 (in Thai).

[21] M. Aslam, M. Azam, and C. H. Jun, “A new exponentially weighted moving average sign chart using repetitive sampling,” Journal of Process Control, vol. 24, no. 7, pp. 1149–1153, 2014, doi: 10.1016/ j.jprocont.2014.05.001.

[22] M. Aslam, M. A. Raza, M. Azam, L. Ahmad, and C. H. Jun, “Design of a sign chart using a new EWMA statistic,” Communications in Statistics - Theory and Methods, vol. 49, no. 6, pp. 1299–1310, 2019, doi: 10.1080/03610926. 2018.1563163.

[23] S. F. Yang, J. S. Lin, and S. W. Cheng, “A new non parametric EWMA sign control chart,” Expert Systems with Applications, vol. 38, no. 5, pp. 6239– 6243, 2011, doi: 10.1016/ j.eswa.2010.11.044.

[24] A. K. Patel and J. Divecha, “Modified exponentially weighted moving average (EWMA) control chart for an analytical process data,” Journal of Chemical Engineering and Materials Science, vol. 2, no. 1, pp. 12–20, 2011.

[25] R. C. Team, “R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria,” (2020). [Online]. Available: http://www.R-project.org/

[26] Y. Wu, Inference for Change-point and Postchange Means after a CUSUM Test. New York: Springer, 2005.

Full Text: PDF

DOI: 10.14416/j.asep.2021.10.013

Refbacks

  • There are currently no refbacks.


Copyright © 2024 by King Mongkut’s University of Technology North Bangkok. All rights reserved.