Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study
Probability
2024-11-05 v1
Abstract
This paper serves as a companion to "Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic." In this short paper, we illustrate the main results of the main paper through a two-station, five-class reentrant line under a specific static buffer priority policy, while avoiding heavy notations. For this example, we prove the asymptotic steady-state limit and uniform moment bound under general inter-arrival and service time distributions.
Keywords
Cite
@article{arxiv.2411.00930,
title = {Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study},
author = {Jim Dai and Dongyan Huo},
journal= {arXiv preprint arXiv:2411.00930},
year = {2024}
}