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A modified economic-statistical design of the T2 control chart with variable sample sizes and control limits

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Recent studies have shown that using variable sampling size and control limits (VSSC) schemes result in charts with more statistical power than variable sampling size (VSS) when detecting small to moderate shifts in the process mean vector. This paper presents an economic-statistical design (ESD) of the VSSC T2 control chart using the general model of Lorenzen and Vance [22]. The genetic algorithm approach is then employed to search for the optimal values of the six test parameters of the chart. We then compare the expected cost per unit of time of the optimally designed VSSC chart with optimally designed VSS and FRS (fixed ratio sampling) T2 charts as well as MEWMA charts.
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Keywords: Hotelling's T2 control chart; Markov chain; economic-statistical design (ESD); genetic algorithm (GA); variable sampling size and control limits (VSSC) scheme

Document Type: Research Article

Affiliations: 1: Department of Statistics,Islamic Azad University, Hamadan BranchHamadan, Iran 2: Centre for Quantitative Methods and Operations Management, HEC Management School,University of Liège, Belgium 3: Department of Business Administration,University of Delaware, NewarkDE 19716, USA 4: Department of Statistics,Allameh Tabatabaee University, Tehran, Iran

Publication date: November 1, 2011

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