A modified economic-statistical design of the T2 control chart with variable sample sizes and control limits
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 . 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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Hotelling's T2 control chart;
economic-statistical design (ESD);
genetic algorithm (GA);
variable sampling size and control limits (VSSC) scheme
Document Type: Research Article
Department of Statistics,Islamic Azad University, Hamadan BranchHamadan, Iran
Centre for Quantitative Methods and Operations Management, HEC Management School,University of Liège, Belgium
Department of Business Administration,University of Delaware, NewarkDE 19716, USA
Department of Statistics,Allameh Tabatabaee University, Tehran, Iran
Publication date: November 1, 2011