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

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  • Kan Wu
  • Sandeep Srivathsan
  • Yichi Shen

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.

Suggested Citation

  • Kan Wu & Sandeep Srivathsan & Yichi Shen, 2018. "Three-moment approximation for the mean queue time of a GI/G/1 queue," IISE Transactions, Taylor & Francis Journals, vol. 50(2), pages 63-73, February.
    • Handle: RePEc:taf:uiiexx:v:50:y:2018:i:2:p:63-73
    DOI: 10.1080/24725854.2017.1357216
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    References listed on IDEAS

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    1. Kan Wu & Leon McGinnis, 2013. "Interpolation approximations for queues in series," IISE Transactions, Taylor & Francis Journals, vol. 45(3), pages 273-290.
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