On the performance of CUSUM control charts for monitoring the coefficient of variation with measurement errors

• Published in: International journal of advanced manufacturing technology Vol. 104; no. 5-8; pp. 1903 - 1917
• Main Authors: Tran, Kim Phuc, Nguyen, Huu Du, Tran, Phuong Hanh, Heuchenne, Cédric
• Format: Journal Article Web Resource
• Language: English
• Published: London Springer London 01.10.2019; Springer Nature B.V; Springer Verlag
• Subjects: Accuracy errors; Automatic Control Engineering; Business & economic sciences; CAE) and Design; Coefficient of variation; Computer Science; Computer-Aided Engineering (CAD; Control charts; Cumulative sum control charts; CUSUM charts; Cusum control chart; CUSUM control charts; Engineering; Error analysis; Flowcharting; Graphic methods; Industrial and Production Engineering; Markov chain; Markov processes; Mathematics; Measurement error; Measurement errors; Mechanical Engineering; Media Management; Monitoring; Méthodes quantitatives en économie & gestion; Original Article; Precision errors; Process control; Process shifts; Quality control; Quantitative methods in economics & management; Sciences économiques & de gestion; Sintering; Sintering process; SPC; Specific values; Statistics; Markov chain; CUSUM control charts; Coefficient of variation; Measurement error; SPC; CUSUM Control charts; Measurement Error; Markov Chain; Coefficient of Variation
• ISSN: 0268-3768; 1433-3015; 1433-3015
• DOI: 10.1007/s00170-019-03987-6

In this paper, we investigate the effect of the measurement error on the performance of the cumulative sum (CUSUM) control charts monitoring the coefficient of variation. The measurement errors are supposed to follow a linear covariate error model. The obtained results show that the precision error ratio and the accuracy error have negative impact on the chart performance. Moreover, in order to overcome the difficulty in predetermining a specific value for the process shift size, we suggest to optimize the parameters of the charts according to the random shift size in a given interval. The robustness of the proposed method is studied. An example is given to illustrate the use of the CUSUM charts on a real quality control problem from sintering process.