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  5. The impracticality of homogeneously weighted moving average and progressive mean control chart approaches

The impracticality of homogeneously weighted moving average and progressive mean control chart approaches

Publication date
2021-07-22
Document type
Forschungsartikel
Author
Knoth, Sven  
Tercero‐Gómez, Víctor G.
Khakifirooz, Marzieh
Woodall, William H.
Organisational unit
Rechnergestützte Statistik  
DOI
10.1002/qre.2950
URI
https://openhsu.ub.hsu-hh.de/handle/10.24405/21880
Scopus ID
2-s2.0-85110957403
Publisher
Wiley
Series or journal
Quality and Reliability Engineering International
ISSN
0748-8017
Periodical volume
37
Periodical issue
8
First page
3779
Last page
3794
Part of the university bibliography
✅
Additional Information
Language
English
Keyword
average run length
control chart
statistical process monitoring
steady-state average run length
Abstract
There is growing literature on new versions of “memory‐type” control charts, where deceptively good zero‐state average run‐length (ARL) performance is misleading. Using steady‐state run‐length analysis in combination with the conditional expected delay (CED) metric, we show that the increasingly discussed progressive mean (PM) and homogeneously weighted moving average (HWMA) control charts should not be used in practice. Previously reported performance of methods based on these two approaches is misleading, as we found that performance is good only when a process change occurs at the very start of monitoring. Traditional alternatives, such as exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts, not only have more consistent detection behavior over a range of different change points, they can also lead to better out‐of‐control zero‐state ARL performance when properly designed.
Description
This is an open access article under the terms of the Creative Commons Attribution License CC BY 4.0 ( https://creativecommons.org/licenses/by/4.0/).
Version
Published version
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