On the ergodicity bounds for a constant retrial rate queueing model

TL;DR

This paper analyzes a Markovian retrial queueing system with a constant retrial rate, establishing conditions for null and exponential ergodicity and providing bounds on convergence rates.

Contribution

It introduces new bounds on ergodicity rates for a specific retrial queueing model with constant retrial rate.

Findings

Conditions for null ergodicity identified

Conditions for exponential ergodicity established

Bounds on convergence rate derived

Abstract

We consider a Markovian single-server retrial queueing system with a constant retrial rate. Conditions of null ergodicity and exponential ergodicity for the correspondent process, as well as bounds on the rate of convergence are obtained.