MONITORING THE QUALITY OF PRODUCTION PROCESS USING CUSUM CONTROL CHART
Abstract
In the production process control, control charts are an important statistical technique which provides continuous monitoring of process quality and timely detection of defects. Shewhart control charts are commonly used to detect major disturbances in parameters of the observed process, while CUSUM charts are more designed for monitoring small and moderate changes. In this sense, CUSUM charts, with respect to their characteristics, can successfully replace the traditional application of Shewhart control charts in business. Its main advantage is that the interval of sampling is treated in the continuous mode, unlike Shewhart charts where it is treated in the isolated manner. Since it combines information from different samples, cumulative sum control charts are more efficient than Shewhart control charts in detecting small shifts in the process. Precisely, this advantage in the application of CUSUM control charts compared to Shewhart control charts is confirmed in the paper through the simultaneous analysis of the performances of both approaches on selected data.
References
Abbasi, S.A., Riaz, M., & Miller, A. (2012). Enhancing the performance of CUSUM scale chart. Computers & Industrial Engineering, 63, 400-409.
Drenovac, A.Ž., Drenovac, B.Ž., & Drenovac, D.M. (2013). Kontrolne karte kao sredstvo statističke kontrole kvaliteta.Vojnotehnički glasnik, 61(1), 101-122.
Ellison, S.L.R., Farrant, T.J., & Barwick, V. (2009). Practical Statistics for the Analytical Scientist: A Bench Guide, 2nd ed. Royal Society of Chemistry.
Ertuğrul, I., & Özçil, A. (2014). The application of ‘p' and ‘p-cusum' charts into textile sector in the statistical quality control process. Tekstil ve Konfeksiyon, 24(1), 9-14.
Ganguly, A., & Patel, S.K. (2014). A teaching-learning based optimization approach for economic design of X-bar control chart. Applied Soft Computing, 24, 643-653.
Ghute, V.B. (2013). Distribution-free control chart for Bivariate Process. Journal of Academia and Industrial Research, 1(11), 703-705.
Iwasiewicz, A., Paszek, Z., & Sokolowski, A. (1985). CUSUM control procedures for fraction defective. Statistička revija, 3-4, 264-271.
Jones, M.A., & Steiner, S.H. (2012). Assessing the effect of estimation error on risk-adjusted CUSUM chart performance. International journal for quality in health care , 24(2), 176-81. pmid:22190589
Lepojević, V., & Kalač, E. (2012). The role of statistical process control for providing business excellence according to the EFQM model. Facta Universitatis, Series: Economics and Organization, 9(1), 111-121.
Montgomery, D.C., & Runger, G.C. (2011). Applied Statistics and Probability for Engineers, 5th ed. John Wiley & Sons, Inc..
Montgomery, D.C. (2009). Introduction to Statistical Quality Control, 6th ed. John Wiley & Sons, Inc..
Nolan, T.W., & Provost, L.P. (1990). Understanding variation. Quality Progress, 23(6), 70-78.
Papić Blagojević, N., & Paszek, Z. (2013). Primena kontrolne karte aritmetičke sredine u upravljanju industrijskim procesima. Škola biznisa, 1, 48-60.
Paszek, Z. (2012). Metodologija ocene kvaliteta edukacije. Škola biznisa, 3, 18-28.
Riaz, M., Abbas, N., & Does, R. (2010). Improving the Performance of CUSUM Charts. Quality and Reliability Engineering International, 27, 415-424. Wiley Online Library. doi:10.1002/qre.1124
Singh, S., & Prajapati, D.R. (2013). Performance of CUSUM and EWMA charts for serial correlation. The TQM Journal, 25(3), 309-324.
Zhang, M., Megahed, F.M., & Woodallc, W.H. (2014). Exponential CUSUM Charts with Estimated Control Limits.Quality and Reliability Engineering International,, 30, 275-286. Wiley Online Library. doi:10.1002/qre.1495
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