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Considering Taguchi loss function on statistically constrained economic sum of squares exponentially weighted moving average charts
Abstract:In this paper, Duncan's cost model combined Taguchi's quadratic loss function is applied to develop the economic-statistical design of the sum of squares exponentially weighted moving average (SS-EWMA) chart. The genetic algorithm is applied to search for the optimal decision variables of SS-EWMA chart such that the expected cost is minimized. Sensitivity analysis reveals that the optimal sample size and sampling interval decrease; optimal smoothing constant and control limit increase as the mean and/or variance increases. Moreover, the combination of optimal parameter levels in orthogonal array experiment plays an important guideline for monitoring the process mean and/or variance.
Keywords:Duncan's cost model  Taguchi's loss function  SS-EWMA chart  economic-statistical design  sensitivity analysis
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