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Growing Science » International Journal of Industrial Engineering Computations » The impact of Weibull data and autocorrelation on the performance of the Shewhart and exponentially weighted moving average control charts

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print)
Quarterly Publication
Volume 2 Issue 3 pp. 575-582 , 2011

The impact of Weibull data and autocorrelation on the performance of the Shewhart and exponentially weighted moving average control charts Pages 575-582 Right click to download the paper Download PDF

Authors: Gary Black, James Smith, Sabrina Wells

DOI: 10.5267/j.ijiec.2011.03.002

Keywords: Autocorrelation, Independence assumption, Normality assumption, Statistical process control, Weibull

Abstract: Many real-world processes generate autocorrelated and/or Weibull data. In such cases, the independence and/or normality assumptions underlying the Shewhart and EWMA control charts are invalid. Although data transformations exist, such tools would not normally be understood or employed by naive practitioners. Thus, the question arises, “What are the effects on robustness whenever these charts are used in such applications?” Consequently, this paper examines and compares the performance of these two control charts when the problem (the model) is subjected to autocorrelated and/or Weibull data. A variety of conditions are investigated related to the magnitudes of various parameters related to the process shift, the autocorrelation coefficient and the Weibull shape parameter. Results indicate that the EWMA chart outperforms the Shewhart in 62% of the cases, particularly those cases with low to moderate autocorrelation effects. The Shewhart chart outperforms the EWMA chart in 35% of the cases, particularly those cases with high autocorrelation and zero or high process shift effects.

How to cite this paper
Black, G., Smith, J & Wells, S. (2011). The impact of Weibull data and autocorrelation on the performance of the Shewhart and exponentially weighted moving average control charts.International Journal of Industrial Engineering Computations , 2(3), 575-582.

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Journal: International Journal of Industrial Engineering Computations | Year: 2011 | Volume: 2 | Issue: 3 | Views: 2104 | Reviews: 0

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