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The economic design of multivariate binomial EWMA VSSI control charts

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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.
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Keywords: economic design; genetic algorithm; multi-attribute processes; multivariate exponentially weighted moving average chart; variable sample size; variable sampling interval

Document Type: Research Article

Affiliations: 1: Industrial Engineering, Sharif University of Technology, PO Box 11155-9414 Azadi Ave. Tehran, 1458889694, Iran 2: Department of Industrial Engineering, University of Louisville, Louisville, KY 40292, USA

Publication date: June 1, 2013

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