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The economic design of multivariate binomial EWMA VSSI control charts

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  • Seyed Taghi Akhavan Niaki
  • Paravaneh Jahani

Abstract

Since multi-attribute control charts have received little attention compared with multivariate variable control charts, this research is concerned with developing a new methodology to employ the multivariate exponentially weighted moving average (MEWMA) charts for m -attribute binomial processes; the attributes being the number of nonconforming items. Moreover, since the variable sample size and sampling interval (VSSI) MEWMA charts detect small process mean shifts faster than the traditional MEWMA, an economic design of the VSSI MEWMA chart is proposed to obtain the optimum design parameters of the chart. The sample size, the sampling interval, and the warning/action limit coefficients are obtained using a genetic algorithm such that the expected total cost per hour is minimized. At the end, a sensitivity analysis has been carried out to investigate the effects of the cost and the model parameters on the solution of the economic design of the VSSI MEWMA chart.

Suggested Citation

  • Seyed Taghi Akhavan Niaki & Paravaneh Jahani, 2013. "The economic design of multivariate binomial EWMA VSSI control charts," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(6), pages 1301-1318, June.
    • Handle: RePEc:taf:japsta:v:40:y:2013:i:6:p:1301-1318
    DOI: 10.1080/02664763.2013.785494
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    Cited by:

    1. Naderkhani, Farnoosh & Makis, Viliam, 2016. "Economic design of multivariate Bayesian control chart with two sampling intervals," International Journal of Production Economics, Elsevier, vol. 174(C), pages 29-42.
    2. 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.

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