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Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling's T2 control charts

Sabahno, Hamed LU orcid ; Amiri, Amirhossein and Castagliola, Philippe (2018) In Quality and Reliability Engineering International 34(8). p.1785-1799
Abstract

The effect of measurement errors on the performance of multivariate adaptive control charts has not been considered yet. In this article, we investigate the effect of measurement errors on the performance of the variable sampling intervals (VSI) Hotelling's T2 control chart in the case of known parameters. A linearly covariate error model is used as the measurement error function. In order to measure the chart's performance, we use the average time to signal criterion, which is obtained by using a Markov Chain model. Through a numerical analysis, we evaluate the negative effect of measurement errors on the performance of the VSI Hotelling's T2 control chart, and we also investigate the effect of multiple... (More)

The effect of measurement errors on the performance of multivariate adaptive control charts has not been considered yet. In this article, we investigate the effect of measurement errors on the performance of the variable sampling intervals (VSI) Hotelling's T2 control chart in the case of known parameters. A linearly covariate error model is used as the measurement error function. In order to measure the chart's performance, we use the average time to signal criterion, which is obtained by using a Markov Chain model. Through a numerical analysis, we evaluate the negative effect of measurement errors on the performance of the VSI Hotelling's T2 control chart, and we also investigate the effect of multiple measurements as well as the value of linearly covariate error model's parameters on the main properties of the VSI Hotelling's T2 control chart. At last, we present an illustrative example.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
average time to signal (ATS), Hotelling's Tcontrol charts, linearly covariate error model, Markov chain, multivariate control charts, variable sampling intervals (VSI) control charts
in
Quality and Reliability Engineering International
volume
34
issue
8
pages
15 pages
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:85056330249
ISSN
0748-8017
DOI
10.1002/qre.2370
language
English
LU publication?
no
additional info
Publisher Copyright: © 2018 John Wiley & Sons, Ltd.
id
67586280-b271-484d-8bd8-374095cefbf2
date added to LUP
2025-03-20 12:18:37
date last changed
2025-04-04 14:17:10
@article{67586280-b271-484d-8bd8-374095cefbf2,
  abstract     = {{<p>The effect of measurement errors on the performance of multivariate adaptive control charts has not been considered yet. In this article, we investigate the effect of measurement errors on the performance of the variable sampling intervals (VSI) Hotelling's T<sup>2</sup> control chart in the case of known parameters. A linearly covariate error model is used as the measurement error function. In order to measure the chart's performance, we use the average time to signal criterion, which is obtained by using a Markov Chain model. Through a numerical analysis, we evaluate the negative effect of measurement errors on the performance of the VSI Hotelling's T<sup>2</sup> control chart, and we also investigate the effect of multiple measurements as well as the value of linearly covariate error model's parameters on the main properties of the VSI Hotelling's T<sup>2</sup> control chart. At last, we present an illustrative example.</p>}},
  author       = {{Sabahno, Hamed and Amiri, Amirhossein and Castagliola, Philippe}},
  issn         = {{0748-8017}},
  keywords     = {{average time to signal (ATS); Hotelling's Tcontrol charts; linearly covariate error model; Markov chain; multivariate control charts; variable sampling intervals (VSI) control charts}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{1785--1799}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{Quality and Reliability Engineering International}},
  title        = {{Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling's T<sup>2</sup> control charts}},
  url          = {{http://dx.doi.org/10.1002/qre.2370}},
  doi          = {{10.1002/qre.2370}},
  volume       = {{34}},
  year         = {{2018}},
}