A multi-orthogonal polynomials' approach to bulk queueing theory
Probability
2023-08-29 v4 Numerical Analysis
Complex Variables
Numerical Analysis
Abstract
We consider a stationary Markov process that models certain queues with a bulk service of a fixed number of admitted customers. We find an integral expression of its transition probability function in terms of certain multi-orthogonal polynomials with respect to a system of distributions that contain measures supported on starlike subsets of the complex plane. We also study the corresponding steady state.
Cite
@article{arxiv.2107.04892,
title = {A multi-orthogonal polynomials' approach to bulk queueing theory},
author = {Ulises Fidalgo},
journal= {arXiv preprint arXiv:2107.04892},
year = {2023}
}