Asymptotics of joint orderings of compound Poisson fields
Probability
2022-11-10 v1
Abstract
We are developing a new method for the analysis of queuing systems with heterogeneous in time and space compound (marked) Poisson input flow. The state space of the input flow is embedded in a higher-dimensional space with a homogeneous marked Poisson field on it. We prove limit theorems for partial sums of marks under the ordering of field points by coordinates.
Keywords
Cite
@article{arxiv.2211.04723,
title = {Asymptotics of joint orderings of compound Poisson fields},
author = {Mikhail Chebunin and Artyom Kovalevskii},
journal= {arXiv preprint arXiv:2211.04723},
year = {2022}
}