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Performance of the variable parameters X control chart in presence of measurement errors

Sabahno, Hamed LU orcid ; Amiri, Amirhossein and Castagliola, Philippe (2019) In Journal of Testing and Evaluation 47(1). p.480-497
Abstract

In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X control chart. After introducing the VP scheme for the X chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X control chart. We also consider the overall performance of the VP X control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through an... (More)

In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X control chart. After introducing the VP scheme for the X chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X control chart. We also consider the overall performance of the VP X control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through 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
Adaptive control charts, Linearly covariate error model, Markov Chain approach, Overall average time to signal, Variable parameters X control charts
in
Journal of Testing and Evaluation
volume
47
issue
1
pages
18 pages
publisher
American Society for Testing and Materials
external identifiers
  • scopus:85058193733
ISSN
0090-3973
DOI
10.1520/JTE20170527
language
English
LU publication?
no
additional info
Publisher Copyright: Copyright © 2018 by ASTM International
id
a802bfcf-2a68-4c9a-b44f-03fae781e321
date added to LUP
2025-03-20 12:14:57
date last changed
2025-04-04 14:47:16
@article{a802bfcf-2a68-4c9a-b44f-03fae781e321,
  abstract     = {{<p>In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X control chart. After introducing the VP scheme for the X chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X control chart. We also consider the overall performance of the VP X control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through an illustrative example.</p>}},
  author       = {{Sabahno, Hamed and Amiri, Amirhossein and Castagliola, Philippe}},
  issn         = {{0090-3973}},
  keywords     = {{Adaptive control charts; Linearly covariate error model; Markov Chain approach; Overall average time to signal; Variable parameters X control charts}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{1}},
  pages        = {{480--497}},
  publisher    = {{American Society for Testing and Materials}},
  series       = {{Journal of Testing and Evaluation}},
  title        = {{Performance of the variable parameters X control chart in presence of measurement errors}},
  url          = {{http://dx.doi.org/10.1520/JTE20170527}},
  doi          = {{10.1520/JTE20170527}},
  volume       = {{47}},
  year         = {{2019}},
}