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Optimization of design parameters for [image omitted] control charts with multiple assignable causes

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  • Fong-jung Yu
  • Jiang-liang Hou

Abstract

Duncan's economic model of Shewhart's original x-super-¯ chart has established its optimal and economic application for processes with the Markovian failure characteristic. As the sample statistics show some indications of process variations, the variable-sampling-interval (VSI) control charts perform more effectively than the fixed sampling interval (FSI) ones due to a higher frequency in the sampling rate. Regarding the economic design of control charts, most studies have been dedicated to the FSI scheme. In 1998, Bai & Lee considered the production process with a single assignable cause and proposed an economic VSI design for a general x-super-¯ control chart. However, in real cases, there are multiple assignable causes in the production process. Therefore, concerning the operation characteristics of the real industry, this research develops an economic model for the VSI control chart with multiple assignable causes based on stochastic and statistics theory and determines the optimal design parameters of the chart. A numerical example is also provided to demonstrate the effectiveness of the proposed model and the result indicates that VSI performs more effectively than a FSI control chart.

Suggested Citation

  • Fong-jung Yu & Jiang-liang Hou, 2006. "Optimization of design parameters for [image omitted] control charts with multiple assignable causes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 279-290.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:3:p:279-290
    DOI: 10.1080/02664760500445541
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    References listed on IDEAS

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    1. Bai, D. S. & Lee, K. T., 1998. "An economic design of variable sampling interval control charts," International Journal of Production Economics, Elsevier, vol. 54(1), pages 57-64, January.
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    Cited by:

    1. Wu, Zhang & Yang, Mei & Jiang, Wei & Khoo, Michael B.C., 2008. "Optimization designs of the combined Shewhart-CUSUM control charts," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 496-506, December.
    2. 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.
    3. Mahadik Shashibhushan B. & Shirke Digambar T., 2007. "Economic Design of A Modified Variable Sample Size and Sampling Interval Chart," Stochastics and Quality Control, De Gruyter, vol. 22(2), pages 273-293, January.

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