Three-moment approximation for the mean queue time of a GI/G/1 queue

The approximation of a GI/G/1 queue plays a key role in the performance evaluation of queueing systems. To improve the conventional two-moment approximations, we propose a three-moment approximation for the mean queue time of a GI/G/1 queue based on the exact results of the H2/M/1 queue. The model i...

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Main Authors: Wu, Kan, Srivathsan, Sandeep, Shen, Yichi
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/139109
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1391092020-05-15T07:54:14Z Three-moment approximation for the mean queue time of a GI/G/1 queue Wu, Kan Srivathsan, Sandeep Shen, Yichi School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering GI/G/1 Queue Three-moment Approximations The approximation of a GI/G/1 queue plays a key role in the performance evaluation of queueing systems. To improve the conventional two-moment approximations, we propose a three-moment approximation for the mean queue time of a GI/G/1 queue based on the exact results of the H2/M/1 queue. The model is validated over a wide range of numerical experiments. Based on paired t-tests, our three-moment approximation outperforms the two-moment ones when the inter-arrival time variability is greater than one. MOE (Min. of Education, S’pore) 2020-05-15T07:54:14Z 2020-05-15T07:54:14Z 2017 Journal Article Wu, K., Srivathsan, S., & Shen, Y. (2018). Three-moment approximation for the mean queue time of a GI/G/1 queue. IISE Transactions, 50(2), 63-73. doi:10.1080/24725854.2017.1357216 2472-5854 https://hdl.handle.net/10356/139109 10.1080/24725854.2017.1357216 2-s2.0-85031826899 2 50 63 73 en IISE Transactions © 2018 IISE (Published by Taylor & Francis). All rights reserved.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Mechanical engineering
GI/G/1 Queue
Three-moment Approximations
spellingShingle Engineering::Mechanical engineering
GI/G/1 Queue
Three-moment Approximations
Wu, Kan
Srivathsan, Sandeep
Shen, Yichi
Three-moment approximation for the mean queue time of a GI/G/1 queue
description The approximation of a GI/G/1 queue plays a key role in the performance evaluation of queueing systems. To improve the conventional two-moment approximations, we propose a three-moment approximation for the mean queue time of a GI/G/1 queue based on the exact results of the H2/M/1 queue. The model is validated over a wide range of numerical experiments. Based on paired t-tests, our three-moment approximation outperforms the two-moment ones when the inter-arrival time variability is greater than one.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Wu, Kan
Srivathsan, Sandeep
Shen, Yichi
format Article
author Wu, Kan
Srivathsan, Sandeep
Shen, Yichi
author_sort Wu, Kan
title Three-moment approximation for the mean queue time of a GI/G/1 queue
title_short Three-moment approximation for the mean queue time of a GI/G/1 queue
title_full Three-moment approximation for the mean queue time of a GI/G/1 queue
title_fullStr Three-moment approximation for the mean queue time of a GI/G/1 queue
title_full_unstemmed Three-moment approximation for the mean queue time of a GI/G/1 queue
title_sort three-moment approximation for the mean queue time of a gi/g/1 queue
publishDate 2020
url https://hdl.handle.net/10356/139109
_version_ 1681059248556998656