A variable parameters multivariate control chart for simultaneous monitoring of the process mean and variability with measurement errors
Sabahno, Hamed LU
; Castagliola, Philippe
and Amiri, Amirhossein
(2020)
In Quality and Reliability Engineering International
36(4).
p.1161-1196
- Abstract
Evaluating the effect of measurement errors on either adaptive or simultaneous control charts has been a topic of interest for the researchers in the recent years. Nevertheless, the effect of measurement errors on both adaptive and simultaneous monitoring control charts has not been considered yet. In this paper, through extensive numerical studies, we evaluate the effect of measurement errors on an adaptive (variable parameters) simultaneous multivariate control chart for the mean vector and the variance-covariance matrix of p quality characteristics assumed to follow a multivariate normal distribution. In order to do so, (a) we use eight performance measures computed using a Markov chain model, (b) we consider the effects of multiple... (More)
Evaluating the effect of measurement errors on either adaptive or simultaneous control charts has been a topic of interest for the researchers in the recent years. Nevertheless, the effect of measurement errors on both adaptive and simultaneous monitoring control charts has not been considered yet. In this paper, through extensive numerical studies, we evaluate the effect of measurement errors on an adaptive (variable parameters) simultaneous multivariate control chart for the mean vector and the variance-covariance matrix of p quality characteristics assumed to follow a multivariate normal distribution. In order to do so, (a) we use eight performance measures computed using a Markov chain model, (b) we consider the effects of multiple measurements as well as the error model's parameters, and (c) we also consider the overall performance of this adaptive simultaneous chart including the chart parameters values optimization, which have never been considered so far for this scheme. At last, a real case is presented in order to illustrate the proposed scheme.
(Less)
- author
- Sabahno, Hamed
LU
; Castagliola, Philippe
and Amiri, Amirhossein
- publishing date
- 2020-06-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Markov chains, measurement errors, multivariate simultaneous monitoring, overall performances, variable parameters
- in
- Quality and Reliability Engineering International
- volume
- 36
- issue
- 4
- pages
- 36 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85079705410
- ISSN
- 0748-8017
- DOI
- 10.1002/qre.2621
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2020 John Wiley & Sons, Ltd.
- id
- 7cdd0fca-21eb-4d4f-9e08-03868dee4e4c
- date added to LUP
- 2025-03-20 12:16:21
- date last changed
- 2025-04-04 14:03:55
@article{7cdd0fca-21eb-4d4f-9e08-03868dee4e4c,
abstract = {{<p>Evaluating the effect of measurement errors on either adaptive or simultaneous control charts has been a topic of interest for the researchers in the recent years. Nevertheless, the effect of measurement errors on both adaptive and simultaneous monitoring control charts has not been considered yet. In this paper, through extensive numerical studies, we evaluate the effect of measurement errors on an adaptive (variable parameters) simultaneous multivariate control chart for the mean vector and the variance-covariance matrix of p quality characteristics assumed to follow a multivariate normal distribution. In order to do so, (a) we use eight performance measures computed using a Markov chain model, (b) we consider the effects of multiple measurements as well as the error model's parameters, and (c) we also consider the overall performance of this adaptive simultaneous chart including the chart parameters values optimization, which have never been considered so far for this scheme. At last, a real case is presented in order to illustrate the proposed scheme.</p>}},
author = {{Sabahno, Hamed and Castagliola, Philippe and Amiri, Amirhossein}},
issn = {{0748-8017}},
keywords = {{Markov chains; measurement errors; multivariate simultaneous monitoring; overall performances; variable parameters}},
language = {{eng}},
month = {{06}},
number = {{4}},
pages = {{1161--1196}},
publisher = {{John Wiley & Sons Inc.}},
series = {{Quality and Reliability Engineering International}},
title = {{A variable parameters multivariate control chart for simultaneous monitoring of the process mean and variability with measurement errors}},
url = {{http://dx.doi.org/10.1002/qre.2621}},
doi = {{10.1002/qre.2621}},
volume = {{36}},
year = {{2020}},
}