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Economic Design of X Control Chart for DEWMA under Non-Normal Population |
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PP: 321-328 |
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doi:10.18576/jsap/050213
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Author(s) |
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J. R. Singh,
Manzoor A. Khanday,
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Abstract |
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| In this paper, mathematical investigation has been made to study the effect of double exponentially weighted moving average
(DEWMA) model on economic design of X control chart for non-normal population. Formulae are derived for calculating the value
of n and h when the characteristics of an item posses DEWMA model. The sample mean of DEWMA model has been represented by
first four terms of an Edgeworth series. A numerical example is given to verify the performance of DEWMA model in the presence
of non-normality. The DEWMA charts working together with non-normality affects the control chart scheme when small to moderate
shifts in the mean of the controlled parameter are expected. It is found that when shifts are uncertain the optimal design for DEWMA
chart should be more conservative. |
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