International Journal of Quality Innovation

Korean Society for Quality Management (한국품질경영학회)
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The Effects of Imprecise Measurement on the Economic Asymmetric $\bar{X}$ and S Control Charts

  • Yang, Su-Fen (Department of Statistics National Chengchi University)
  • Published : 2002.12.01
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Abstract

The presence of imprecise measurement may seriously affect the efficiency of process control and production cost. A cost model is derived to determine the design parameters of the economic asymmetric $\bar{X}$ and S control charts including measurement errors. The effects of imprecise measurement on the performance of the economic asymmetric $\bar{X}$ and S control charts and production cost are examined for the case where the process mean and process standard deviation may change. Application of the proposed control charts is demonstrated through an example. Numerical examples illustrate the effects of imprecise measurement on the design parameters of the proposed control charts. It shows that the imprecision measurement may seriously affrct the ability of the proposed control charts to detect process disturbances quickly, change the sampling frequency, and increase the production cost compared to the control charts excluding measurement errors.

Keywords

References

  1. Abraham, B. (1977), 'Control charts and measurement error', ASQC Conference Transactions, 31, pp.technical 370-374
  2. Bennett, C. (1954), 'Effect ofment error on chemical processIndustrial Quality Control 10,17-20
  3. Kanazuka, T.(1986), 'The effect of measurement error on the power XR of charts', Journal of Quality Technology, 18, pp. 91-95 https://doi.org/10.1080/00224065.1986.11978992
  4. Mittag, H.(1993), Qualitatsregelkarten
  5. Mittag, H.(1995), 'Measurement error effect on control chart performance', ASQC Annual Proceedings, 49, pp. 66-73
  6. Mittag, H. and Stemmann, D. (1993), 'Effeke stochastischer Mebfehler bei der Anwendung von Shewhartregelkarten zur Streungsuberwachung', Allegmeines Statis-tisches Archiv, 77, pp. 240-259
  7. Mittag, H. and Stemmann, D.(1998), 'Gauge imprecision effect on the performance of the X-S chart', Journal of Applied Statistics, Vol. 25, No. 3, pp.307-317 https://doi.org/10.1080/02664769823043
  8. Mizuno, S. (1961), 'Problems of measurement errors in process control', Bulletin of the International Statistical Institute, 38, pp. 405-415
  9. Montgomery, D. (1982), 'Economic design of an control chart,' Journal of Quality Technology 14, pp. 40-43 https://doi.org/10.1080/00224065.1982.11978782
  10. Rahim, A. (1985), 'Economic model of X charts under non-normality and measurement errors', Computer and Operations Research, Vol. 12, No. 3, pp.291-299 https://doi.org/10.1016/0305-0548(85)90028-0
  11. Ross, S. (1993), Probability Models, Academic Press