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

Kim Phuc Tran, Huu Du Nguyen, Phuong Hanh Tran and Cédric Heuchenne
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Huu Du Nguyen: Université catholique de Louvain, LIDAM/ISBA, Belgium
Cédric Heuchenne: Université catholique de Louvain, LIDAM/ISBA, Belgium

No 2021039, LIDAM Reprints ISBA from Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA)

Abstract: 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.

Keywords: SPC; Measurement error; CUSUM control charts; Coefficient of variation; Markov chain (search for similar items in EconPapers)
Pages: 15
Date: 2021-01-01
Note: In: The International Journal of Advanced Manufacturing Technology, 2019, vol. 104, p. 1903–1917
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Persistent link: https://EconPapers.repec.org/RePEc:aiz:louvar:2021039

DOI: 10.1007/s00170-019-03987-6

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