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Hotelling T2 chart using the generalized multiple dependent state sampling scheme

Sandra García-Bustos (Math, Escuela Superior Politecnica del Litoral, Guayaquil, Ecuador)
Joseph León (Math, Escuela Superior Politecnica del Litoral, Guayaquil, Ecuador)
María Nela Pastuizaca (Math, Escuela Superior Politecnica del Litoral, Guayaquil, Ecuador)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 2 November 2020

Issue publication date: 12 May 2021

134

Abstract

Purpose

This research proposes a multivariate control chart, whose parameters are optimized using genetic algorithms (GA) in order to accelerate the detection of a change in the vector of means.

Design/methodology/approach

This chart is based on a variation of the Hotelling T2 chart using a sampling scheme called generalized multiple dependent state sampling. For the analysis of performances of this chart, the out-of-control average run length (ARL) values were used for different scenarios. In this comparison, it was considered the classic Hotelling T2 chart and the T2 chart using the scheme called multiple dependent state sampling.

Findings

It was observed that the new chart with its optimized parameters is more efficient to detect an out-of-control process. Additionally, a sensitivity analysis was performed, and it was concluded that the best yields are obtained when the change to be considered in the optimization is small. An application in the resolution of a real problem is given.

Originality/value

In this research, a multivariate control chart is proposed based on the Hotelling T2 statistic but adding a sampling scheme. This makes this control chart more efficient than the classic T2 chart because the new chart not only uses the current information of the T2 statistic but also conditions the decision to consider a process as “in- control” on the statistic's previous information. The practitioner can obtain the optimal parameters of this new chart through a friendly program developed by the authors.

Keywords

Citation

García-Bustos, S., León, J. and Pastuizaca, M.N. (2021), "Hotelling T2 chart using the generalized multiple dependent state sampling scheme", International Journal of Quality & Reliability Management, Vol. 38 No. 6, pp. 1265-1277. https://doi.org/10.1108/IJQRM-03-2020-0084

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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