# Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

## Stability conditions of a queueing system model via fluid limits

### Tom 40 / 2013

Applicationes Mathematicae 40 (2013), 431-445 MSC: Primary 37A25; Secondary 60K25. DOI: 10.4064/am40-4-4

#### Streszczenie

We study the ergodicity of a multi-class queueing model via fluid limits which have the advantage of describing the model in macroscopic form. We consider a model of processing bandwidth requests. Our system is defined by a network of capacity $C=N,$ and a queue which contains an infinite number of items of various sizes $1,$ $a'$ and $b'$ with $1 < a' < b' < N.$ The problem considered is: Under what conditions on the parameters of some large classes of networks, do they reach the stationary regime?

#### Autorzy

• Amina Angelika BouchentoufDepartment of Mathematics
University Djillali Liabes of Sidi Bel Abbes
B.P. 89, Sidi Bel Abbes 22000, Algeria
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek