Semi-log-convexity of ${\rm M}/{\rm M}/\infty$ queues on $\mathbb{Z}_+$
Probability
2025-04-29 v1
Abstract
We solve the problem left in the recent paper by N. Gozlan et al [Potential Analysis 58, 2023, 123--158], establishing the semi-log-convexity of semigroups associated with queuing processes on the set of non-negative integers. Our approach is global in nature and yields the sharp constant.
Cite
@article{arxiv.2504.18801,
title = {Semi-log-convexity of ${\rm M}/{\rm M}/\infty$ queues on $\mathbb{Z}_+$},
author = {Huige Chen and Huaiqian Li},
journal= {arXiv preprint arXiv:2504.18801},
year = {2025}
}
Comments
7 pages