On the advantages of economically designed the Hotelling’s T2 control chart with variable sample sizes and sampling intervals |
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Authors: | Alireza Faraz R B Kazemzadeh Ahmad Parsian M B Moghadam |
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Institution: | (1) Department of Mathematics, Liaoning University, Shenyang, 110036, People’s Republic of China;(2) LPMC and School of Mathematical Sciences, Nankai University, Tianjin, 300071, People’s Republic of China; |
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Abstract: | Faraz and Parsian (Statistical Paper, 47: 569–593, 2006) have shown that the double warning lines (DWL) scheme detects process
shifts more quickly than the other variable ratio sampling schemes such as variable sample sizes (VSS), variable sampling
intervals (VSI) and variable sample sizes and sampling intervals (VSSVSI). In this paper, the DWLT2control chart for monitoring the process mean vector is economically designed. The cost model proposed by Costa and Rahim
(Journal of Applied Statistics, 28: 875–885, 2001) is used here and is minimized through a genetic algorithm (GA) approach.
Then the effects of the model parameters on the chart parameters and resulting operating loss is studied and finally a comparison
between all possible variable ratio sampling (VRS) schemes are made to choose the best option economically. |
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