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A modified economic-statistical design of the T-super-2 control chart with variable sample sizes and control limits

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  • Asghar Seif
  • Alireza Faraz
  • C�dric Heuchenne
  • Erwin Saniga
  • M. B. Moghadam

Abstract

Recent studies have shown that using variable sampling size and control limits (VSSC) schemes result in charts with more statistical power than variable sampling size (VSS) when detecting small to moderate shifts in the process mean vector. This paper presents an economic-statistical design (ESD) of the VSSC T-super-2 control chart using the general model of Lorenzen and Vance [22]. The genetic algorithm approach is then employed to search for the optimal values of the six test parameters of the chart. We then compare the expected cost per unit of time of the optimally designed VSSC chart with optimally designed VSS and FRS (fixed ratio sampling) T-super-2 charts as well as MEWMA charts.

Suggested Citation

  • Asghar Seif & Alireza Faraz & C�dric Heuchenne & Erwin Saniga & M. B. Moghadam, 2011. "A modified economic-statistical design of the T-super-2 control chart with variable sample sizes and control limits," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(11), pages 2459-2469, January.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:11:p:2459-2469
    DOI: 10.1080/02664763.2011.559205
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    References listed on IDEAS

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    1. Alireza Faraz & Ahmad Parsian, 2006. "Hotelling’s T 2 control chart with double warning lines," Statistical Papers, Springer, vol. 47(4), pages 569-593, October.
    2. Chen, Yan-Kwang & Hsieh, Kun-Lin, 2007. "Hotelling's T2 charts with variable sample size and control limit," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1251-1262, November.
    3. Douglas C. Montgomery & Phillip J. Klatt, 1972. "Economic Design of T 2 Control Charts to Maintain Current Control of a Process," Management Science, INFORMS, vol. 19(1), pages 76-89, September.
    4. Chao-Yu Chou & Chung-Ho Chen & Hui-Rong Liu, 2006. "Economic Design of EWMA Charts with Variable Sampling Intervals," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(6), pages 879-896, December.
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    Cited by:

    1. M. Abolmohammadi & A. Seif & M. H. Behzadi & M. B. Moghadam, 2021. "Economic statistical design of adaptive $$\bar{X}$$ X ¯ control charts based on quality loss functions," Operational Research, Springer, vol. 21(2), pages 1041-1080, June.
    2. Alireza Faraz & Giovanni Celano & Erwin Saniga & C. Heuchenne & S. Fichera, 2014. "The variable parameters T $$^{2}$$ 2 chart with run rules," Statistical Papers, Springer, vol. 55(4), pages 933-950, November.

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