Economic and economic-statistical designs of the T2 control charts with SVSSI sampling scheme |
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| Authors: | Mehdi Katebi Alireza Faraz |
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| Affiliation: | 1. Department of Statistics, Faculty of Mathematical Sciences and Computer, Allameh Tabatabai University, Tehran, Iran;2. Fonds de la Recherche Scientifique –FNRS, Brussels, Belgium;3. Logistikum, University of Applied Sciences Upper Austria, Steyr, Austria |
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| Abstract: | ![]()
Recent studies have shown that the adaptive T2 chart with two different sampling interval and three sample sizes (SVSSI) shows a good performance in detecting small to large shifts in the process mean. This paper investigates the economic and economic statistical designs of the SVSSI T2 charts. We use the Markov chain approach to developing the cost model proposed by Costa and Rahim (Journal of applied statistics 2001; 28: 875–885). A genetic algorithm approach is used to find the optimal solutions. Using numerical examples, we illustrate the performance of the proposed model and compare the statistical, economic, and economic statistical designs of the SVSSI T2 chart with respect to the economic and statistical criteria. Furthermore, we compare the performance of the SVSSI T2 chart with the other T2 control schemes. |
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| Keywords: | Adjusted average time to signal (AATS) economic design (ED) economic statistical design (ESD) genetic algorithm (GA) Hotelling's T2 chart SVSSI T2 chart Markov chain |
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