Stability analysis of two-class retrial systems with constant retrial rates and general service times
Probability
2021-10-20 v1 Networking and Internet Architecture
Performance
Abstract
We establish stability criterion for a two-class retrial system with Poisson inputs, general class-dependent service times and class-dependent constant retrial rates. We also characterise an interesting phenomenon of partial stability when one orbit is tight but the other orbit goes to infinity in probability. All theoretical results are illustrated by numerical experiments.
Keywords
Cite
@article{arxiv.2110.09840,
title = {Stability analysis of two-class retrial systems with constant retrial rates and general service times},
author = {Konstantin Avrachenkov and Evsey Morozov and Ruslana Nekrasova},
journal= {arXiv preprint arXiv:2110.09840},
year = {2021}
}