Name
Title | ||
|---|---|---|
Stability Analysis and Simulation of n-class retrial System with Constant retrial rates and Poisson inputs. |
Abstract | ||
|---|---|---|
In this paper, we study a new retrial queueing system with N classes of customers, where a class-i blocked customer joins orbit i. Orbit i works like a single-server queueing system with (exponential) constant retrial time (with rate mu((i))(0)) regardless of the orbit size. Such a system is motivated by multiple telecommunication applications, for instance wireless multi-access systems, and transmission control protocols. First, we present a review of some corresponding recent results related to a single-orbit retrial system. Then, using a regenerative approach, we deduce a set of necessary stability conditions for such a system. We will show that these conditions have a very clear probabilistic interpretation. We also performed a number of simulations to show that the obtained conditions delimit the stability domain with a remarkable accuracy, being in fact the (necessary and sufficient) stability criteria, at the very least for the 2-orbit M/M/1/1-type and M/Pareto/1/1-type retrial systems that we focus on. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1142/S0217595914400028 | ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH |
Keywords | Field | DocType |
Retrial system,constant retrial rate,stability condition,regenerative approach,busy probability,multi-class system | Orbit,Joins,Exponential function,Queue,Stability conditions,Real-time computing,Probabilistic logic,Poisson distribution,Pareto principle,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 2 | 0217-5959 |
Citations | PageRank | References |
7 | 0.59 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Konstantin Avrachenkov | 1 | 1250 | 126.17 |
| Evsey Morozov | 2 | 87 | 17.22 |
| Ruslana Nekrasova | 3 | 13 | 3.61 |
| Bart Steyaert | 4 | 289 | 33.81 |