The economic design of multivariate binomial EWMA VSSI control charts

Seyed Taghi Akhavan Niaki and Paravaneh Jahani

Journal of Applied Statistics, 2013, vol. 40, issue 6, 1301-1318

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.

Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/02664763.2013.785494

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