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An economic design of combined double sampling and variable sampling interval X¯ control chart

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  • Lee, Pei-Hsi
  • Torng, Chau-Chen
  • Liao, Li-Fang

Abstract

A combination of double sampling X¯ chart and variable sampling intervals X¯ chart (DSVSI) can successfully reduce the detection time of small mean shift. Before a DSVSI X¯ chart is used, its design parameters should be determined. This study constructs an economic design model of DSVSI X¯ chart for the determination of the design parameters. Then, the Genetic Algorithms (GA) are used to solve the optimal designs of DSVSI X¯ chart. Finally, a numerical example is provided to illustrate the use of this model. A sensitivity analysis of the effects of model parameters on the optimal design of DSVSI X¯ chart is also performed.

Suggested Citation

  • Lee, Pei-Hsi & Torng, Chau-Chen & Liao, Li-Fang, 2012. "An economic design of combined double sampling and variable sampling interval X¯ control chart," International Journal of Production Economics, Elsevier, vol. 138(1), pages 102-106.
    • Handle: RePEc:eee:proeco:v:138:y:2012:i:1:p:102-106
    DOI: 10.1016/j.ijpe.2012.03.006
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    References listed on IDEAS

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    1. Chau-Chen Torng & Chun-Chieh Tseng & Pei-Hsi Lee, 2010. "Non-normality and combined double sampling and variable sampling interval [image omitted] control charts," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(6), pages 955-967.
    2. Nenes, George, 2011. "A new approach for the economic design of fully adaptive control charts," International Journal of Production Economics, Elsevier, vol. 131(2), pages 631-642, June.
    3. He, David & Grigoryan, Arsen, 2006. "Joint statistical design of double sampling and s charts," European Journal of Operational Research, Elsevier, vol. 168(1), pages 122-142, January.
    4. De Magalhaes, Maysa S. & Epprecht, Eugenio K. & Costa, Antonio F. B., 2001. "Economic design of a Vp chart," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 191-200, December.
    5. Zhou, Wenhui & Lian, Zhaotong, 2011. "Optimum design of a new VSS-NP chart with adjusting sampling inspection," International Journal of Production Economics, Elsevier, vol. 129(1), pages 8-13, January.
    6. Torng, Chau-Chen & Lee, Pei-Hsi & Liao, Nai-Yi, 2009. "An economic-statistical design of double sampling control chart," International Journal of Production Economics, Elsevier, vol. 120(2), pages 495-500, August.
    7. Prabhu, Sharad S. & Montgomery, Douglas C. & Runger, George C., 1997. "Economic-statistical design of an adaptive chart," International Journal of Production Economics, Elsevier, vol. 49(1), pages 1-15, March.
    8. 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:

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    4. Lim, S.L. & Khoo, Michael B.C. & Teoh, W.L. & Xie, M., 2015. "Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated," International Journal of Production Economics, Elsevier, vol. 166(C), pages 20-35.
    5. Fakher, Hossein Beheshti & Nourelfath, Mustapha & Gendreau, Michel, 2018. "Integrating production, maintenance and quality: A multi-period multi-product profit-maximization model," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 191-201.
    6. Lee, Pei-Hsi, 2013. "Joint statistical design of X¯ and s charts with combined double sampling and variable sampling interval," European Journal of Operational Research, Elsevier, vol. 225(2), pages 285-297.
    7. Yin, Hui & Zhang, Guojun & Zhu, Haiping & Deng, Yuhao & He, Fei, 2015. "An integrated model of statistical process control and maintenance based on the delayed monitoring," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 323-333.
    8. Zhang, Min & Nie, Guohua & He, Zhen, 2014. "Performance of cumulative count of conforming chart of variable sampling intervals with estimated control limits," International Journal of Production Economics, Elsevier, vol. 150(C), pages 114-124.
    9. Khoo, Michael B.C. & Teoh, W.L. & Castagliola, Philippe & Lee, M.H., 2013. "Optimal designs of the double sampling X¯ chart with estimated parameters," International Journal of Production Economics, Elsevier, vol. 144(1), pages 345-357.
    10. Chenglong Li & Qin Su & Min Xie, 2016. "Economic modelling for statistical process control subject to a general quality deterioration," International Journal of Production Research, Taylor & Francis Journals, vol. 54(6), pages 1753-1770, March.

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