M/G/1-FIFO Queue with Uniform Service Times
Probability
2022-10-19 v2 Discrete Mathematics
History and Overview
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.
Cite
@article{arxiv.2206.11108,
title = {M/G/1-FIFO Queue with Uniform Service Times},
author = {Steven Finch},
journal= {arXiv preprint arXiv:2206.11108},
year = {2022}
}
Comments
14 pages; 3 figures