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Exponentially weighted moving average control charts for monitoring increases in Poisson rate
Shu,Lianjie1; Jiang,Wei2; Wu,Zhang3
2012-09-01
Source PublicationIIE Transactions (Institute of Industrial Engineers)
ISSN0740817X 15458830
Volume44Issue:9Pages:711-723
Abstract

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. Copyright © 2012 Taylor and Francis Group, LLC.

KeywordAverage Run Length Markov Chain Poisson Distribution Statistical Process Control
DOI10.1080/0740817X.2011.578609
URLView the original
Language英語English
WOS IDWOS:000305552200001
Scopus ID2-s2.0-84862886317
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Affiliation1.Faculty of Business Administration,University of Macau,,Macao
2.Antai College of Economics and Management,Shanghai Jiaotong University,,China
3.Division of Systems and Engineering Management,School of Mechanical and Aerospace Engineering,Nanyang Technological University,,Singapore
First Author AffilicationFaculty of Business Administration
Recommended Citation
GB/T 7714
Shu,Lianjie,Jiang,Wei,Wu,Zhang. Exponentially weighted moving average control charts for monitoring increases in Poisson rate[J]. IIE Transactions (Institute of Industrial Engineers), 2012, 44(9), 711-723.
APA Shu,Lianjie., Jiang,Wei., & Wu,Zhang (2012). Exponentially weighted moving average control charts for monitoring increases in Poisson rate. IIE Transactions (Institute of Industrial Engineers), 44(9), 711-723.
MLA Shu,Lianjie,et al."Exponentially weighted moving average control charts for monitoring increases in Poisson rate".IIE Transactions (Institute of Industrial Engineers) 44.9(2012):711-723.
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