Stability conditions of a queueing system model via fluid limits

• Autorzy: Amina Angelika Bouchentouf
• Języki publikacji: EN

Abstrakty

EN

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?

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 60K25: Queueing theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 4
• Strony: 431-445

Daty

wydano

2013

Twórcy

autor

Amina Angelika Bouchentouf

• Department of Mathematics, University Djillali Liabes of Sidi Bel Abbes, B.P. 89, Sidi Bel Abbes 22000, Algeria

Identyfikatory

DOI

10.4064/am40-4-4