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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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. |
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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 |
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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. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering Wu, Kan Srivathsan, Sandeep Shen, Yichi |
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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 |
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three-moment approximation for the mean queue time of a gi/g/1 queue |
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2020 |
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https://hdl.handle.net/10356/139109 |
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1681059248556998656 |