Exact asymptotics in an infinite-server system with overdispersed input
Probability
2019-09-24 v1
Abstract
This short communication considers an infinite-server system with overdispersed input. The objective is to identify the exact tail asymptotics of the number of customers present at a given point in time under a specific scaling of the model (which involves both the arrival rate and time). The proofs rely on a change-of-measure approach. The results obtained are illustrated by a series of examples.
Cite
@article{arxiv.1909.10263,
title = {Exact asymptotics in an infinite-server system with overdispersed input},
author = {Mariska Heemskerk and Michel Mandjes},
journal= {arXiv preprint arXiv:1909.10263},
year = {2019}
}
Comments
Short communication