Exponentially weighted moving average control charts for monitoring increases in Poisson rate

The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts...

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Main Authors: Shu, Lianjie, Jiang, Wei, Wu, Zhang
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/106790
http://hdl.handle.net/10220/16645
http://dx.doi.org/10.1080/0740817X.2011.578609
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1067902019-12-06T22:18:27Z Exponentially weighted moving average control charts for monitoring increases in Poisson rate Shu, Lianjie Jiang, Wei Wu, Zhang School of Mechanical and Aerospace Engineering The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts to Poisson processes with an emphasis on quick detection of increases in Poisson rate. Both cases with and without normalizing transformation for Poisson data are considered. A Markov chain model is established to analyze and design the proposed chart. A comparison of the results obtained indicates that the EWMA chart based on normalized data is nearly optimal. 2013-10-21T03:52:19Z 2019-12-06T22:18:27Z 2013-10-21T03:52:19Z 2019-12-06T22:18:27Z 2012 2012 Journal Article Shu, L., Jiang, W.,& Wu, Z. (2012). Exponentially weighted moving average control charts for monitoring increases in Poisson rate. IIE Transactions, 44(9), 711-723. https://hdl.handle.net/10356/106790 http://hdl.handle.net/10220/16645 http://dx.doi.org/10.1080/0740817X.2011.578609 en IIE transactions
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
description The Exponentially Weighted Moving Average (EWMA) control chart has been widely studied as a tool for monitoring normal processes due to its simplicity and efficiency. However, relatively little attention has been paid to EWMA charts for monitoring Poisson processes. This article extends EWMA charts to Poisson processes with an emphasis on quick detection of increases in Poisson rate. Both cases with and without normalizing transformation for Poisson data are considered. A Markov chain model is established to analyze and design the proposed chart. A comparison of the results obtained indicates that the EWMA chart based on normalized data is nearly optimal.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Shu, Lianjie
Jiang, Wei
Wu, Zhang
format Article
author Shu, Lianjie
Jiang, Wei
Wu, Zhang
spellingShingle Shu, Lianjie
Jiang, Wei
Wu, Zhang
Exponentially weighted moving average control charts for monitoring increases in Poisson rate
author_sort Shu, Lianjie
title Exponentially weighted moving average control charts for monitoring increases in Poisson rate
title_short Exponentially weighted moving average control charts for monitoring increases in Poisson rate
title_full Exponentially weighted moving average control charts for monitoring increases in Poisson rate
title_fullStr Exponentially weighted moving average control charts for monitoring increases in Poisson rate
title_full_unstemmed Exponentially weighted moving average control charts for monitoring increases in Poisson rate
title_sort exponentially weighted moving average control charts for monitoring increases in poisson rate
publishDate 2013
url https://hdl.handle.net/10356/106790
http://hdl.handle.net/10220/16645
http://dx.doi.org/10.1080/0740817X.2011.578609
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