Advances and Applications in Statistics
Volume 20, Issue 1, Pages 43 - 53
(January 2011)
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A NEW CHART FOR DEFECTING ASYMMETRIC LOSS
Li Rong Sun
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Abstract: It is in practice to design control charts under an asymmetric quality loss function. This paper proposes �charts with asymmetric sampling intervals, with an objective function of Taguchi�s quality loss during out-of-control period. Numerical results indicate that, when out-of-control condition occurs in the initial moment, control charts with asymmetric sampling intervals are more efficient than that with symmetric sampling intervals. Moreover, the longer the distance between the two sampling intervals is, the larger loss coefficient rate is, the larger shift magnitude is, the more efficient the proposed charts are. If the shift occurs during operation, then the asymmetric sampling intervals �charts are better when the shift magnitudes were small. |
Keywords and phrases: control chart, asymmetric loss, asymmetric sampling interval. |
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