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

Author

Listed:
  • Tran, Kim Phuc
  • Nguyen, Huu Du

    (Université catholique de Louvain, LIDAM/ISBA, Belgium)

  • Tran, Phuong Hanh
  • Heuchenne, Cédric

    (Université catholique de Louvain, LIDAM/ISBA, Belgium)

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.

Suggested Citation

  • Tran, Kim Phuc & Nguyen, Huu Du & Tran, Phuong Hanh & Heuchenne, Cédric, 2021. "On the performance of CUSUM control charts for monitoring the coefficient of variation with measurement errors," LIDAM Reprints ISBA 2021039, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvar:2021039
    DOI: https://doi.org/10.1007/s00170-019-03987-6
    Note: In: The International Journal of Advanced Manufacturing Technology, 2019, vol. 104, p. 1903–1917
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