Economic-statistical design of fully adaptive multivariate control charts under effects of multiple assignable causes

Taji, Jalal; Farughi, Hiwa; Rasay, Hasan

doi:10.1016/j.cie.2022.108676

Cited by 5 publications

(2 citation statements)

References 40 publications

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“…The procedure for the calculation of the ARL through a Markov chain used in this research has also been considered by other authors [17,18,12,13].…”

Section: The Ewma Of Hotelling 𝑻 𝟐 Control Chartmentioning

confidence: 99%

“…At the end of the 20th century, new proposals were made in the multivariate control charts to optimise their performance. Many authors have contributed in this sense: 'Control chart for multivariate attribute processes' [5], 'Monitoring and Control of a Normal Multivariate Process' [6], 'The Variable Dimension T 2 Control Chart' [7], 'Optimum Multiple and Multivariate Poisson Statistical Control Charts' [8], 'Control charts with variable dimensions for linear combinations of Poisson variables' [9], 'One-sided cumulative sum control chart for monitoring shift in the scale parameter delta (δ), of the new Weibull-Pareto distribution' [10], 'Optimum variable-dimension EWMA chart for multivariate statistical process control' [11], 'Variable Parameter chart' [12], and among others.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Exponentially Weighted Moving Average Of T2 Chart

García-Bustos¹,

Naranjo²,

Alvarez³

et al. 2023

Proceedings of the 21th LACCEI International Multi-Conference for Engineering, Education and Technology (LACCEI 2023): “Leaders

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We propose a chart for normal variables that uses a statistic that is a recursive form of Hotelling's T 2 statistic. The objective of this study is to improve the performance of the T 2 chart. To analyse the performance of this chart, we have developed a user-friendly program that finds the best parameters through Genetic Algorithms. This algorithm minimises the out-of-control ARL (Average Run Length) for a proposed shift in the mean vector under the restriction of a desired in-control ARL value. The proposed control chart shows better performance than the Hotelling T 2 chart.

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“…The procedure for the calculation of the ARL through a Markov chain used in this research has also been considered by other authors [17,18,12,13].…”

Section: The Ewma Of Hotelling 𝑻 𝟐 Control Chartmentioning

confidence: 99%