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

Kan Wu, Sandeep Srivathsan and Yichi Shen

IISE Transactions, 2018, vol. 50, issue 2, 63-73

Abstract: 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.

Date: 2018
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DOI: 10.1080/24725854.2017.1357216

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