M/G/1-FIFO Queue with Uniform Service Times

Steven Finch

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arXiv · 2206.11108

M/G/1-FIFO Queue with Uniform Service Times

Steven Finch

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Abstract

An exact formula for the equilibrium M/U/1 waiting time density is now effectively known. What began as a numeric exploration became a symbolic banquet. Inverse Laplace transforms provided breadcrumbs in the trail; delay differential equations subsequently gave clear-cut precision. We also remark on tail probability asymptotics and on queue lengths.

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BibTeX RIS

Steven Finch. 2022-06-21. M/G/1-FIFO Queue with Uniform Service Times. https://arxiv.org/abs/2206.11108

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