On the reliability of Shewhart-type control charts for multivariate process variability

Citation

Djauhari, Maman Abdurrachman and Mohd Salleh, Rohayu and Zolkeply, Zunnaaim and Lee, Siaw Li (2016) On the reliability of Shewhart-type control charts for multivariate process variability. In: 3rd ISM International Statistical Conference 2016 (ISM III), 9-11 Aug. 2016, Institute of Mathematical Sciences, University of Malaya. (pp. 1-7).

Abstract

We show that in the current practice of multivariate process variability monitoring, the reliability of Shewhart-type control charts cannot be measured except when the sub-group size n tends to infinity. However, the requirement of large n is meaningless not only in manufacturing industry where n is small but also in service industry where n is moderate. In this paper, we introduce a new definition of control limits in the two most appreciated control charts in the literature, i.e., the improved generalized variance chart (IGV-chart) and vector variance chart (VV-chart). With the new definition of control limits, the reliability of the control charts can be determined. Some important properties of new control limits will be derived and the computational technique of probability of false alarm will be delivered.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4982866
Publisher:	AIP Publishing
Keywords:	Multivariate process variability; Control charts; Reliability
Depositing User:	Nabilah Mustapa
Date Deposited:	27 Sep 2017 10:13
Last Modified:	27 Sep 2017 10:13
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4982866
URI:	http://psasir.upm.edu.my/id/eprint/57426
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