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Monitoring Coefficient of Variation Using CUSUM Control Charts

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Springer Handbook of Engineering Statistics

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Abstract

In the field of statistical process control, the cumulative sum (CUSUM) control chart is used as a powerful tool to detect process shifts. One of the main features of the CUSUM control chart is that it takes into account the past information at each sampling time of the process. Recently, the rapid development of optimization algorithms and software makes the CUSUM chart easier to be implemented. As a result, the CUSUM control chart has been increasingly applied widely. The goal of this chapter is to present some recent innovative CUSUM control charts monitoring the coefficient of variation (CV). We address several problems related to the CUSUM chart monitoring the CV. The first section provides important definitions of a CUSUM control chart, including the CUSUM sequence, the CUSUM statistics, the implementation of a CUSUM control chart, the average run length (ARL), and the expected average run length (EARL). In the second section, we investigate the effect of measurement error on the CUSUM control chart monitoring the CV. Finally, a fast initial response strategy to improve the performance of the CUSUM control chart is presented.

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Change history

  • 23 May 2023

    A correction has been published.

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Acknowledgements

Research activities of Phuong Hanh Tran have been supported by Univ. Lille, ENSAIT, ULR 2461 – GEMTEX – Engineering and Textile Materials, Roubaix, France and HEC Liège-Management School of the University of Liège, Liège, Belgium under grant 2020/MOB/00504.

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Authors and Affiliations

  1. HEC-Liège, Management School of the University of Liège, Liège, Belgium

    Phuong Hanh Tran

  2. University of Lille, ENSAIT, ULR 2461 - GEMTEX - Genie et Materiaux Textiles, Lille, France

    Phuong Hanh Tran

  3. International Research Institute for Artificial Intelligence and Data Science, Dong A University, Danang, Vietnam

    Huu Du Nguyen

  4. HEC-Liège, Management School of the University of Liège, Liège, Belgium

    Cédric Heuchenne

  5. University of Lille, ENSAIT, ULR 2461 - GEMTEX - Génie et Matériaux Textiles, Lille, France

    Kim Phuc Tran

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  1. Phuong Hanh Tran
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  2. Huu Du Nguyen
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  3. Cédric Heuchenne
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  4. Kim Phuc Tran
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Correspondence to Phuong Hanh Tran , Huu Du Nguyen , Cédric Heuchenne or Kim Phuc Tran .

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  1. Department of Industrial & Systems Engineering, Rutgers University, Piscataway, NJ, USA

    Hoang Pham

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    Tran, P.H., Nguyen, H.D., Heuchenne, C., Tran, K.P. (2023). Monitoring Coefficient of Variation Using CUSUM Control Charts. In: Pham, H. (eds) Springer Handbook of Engineering Statistics. Springer Handbooks. Springer, London. https://doi.org/10.1007/978-1-4471-7503-2_18

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