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arXiv · 2211.04723

Asymptotics of joint orderings of compound Poisson fields

Mikhail Chebunin·Artyom Kovalevskii
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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.

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Mikhail Chebunin, Artyom Kovalevskii. 2022-11-09. Asymptotics of joint orderings of compound Poisson fields. https://arxiv.org/abs/2211.04723

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