Analyse d’un réseau fluide multi-classe

Abstract

In this memory we will study the stability of a multi-class fluid queuing network. Using the linear Lyapunov function by morceaux, we establish a sufficient condition to ensure the global stability of a stability of a multi class queuing system composed of N stations and N2 customer classes under prioritized service disciplines. Determining the mination of the global stabi lity region of such a system is very difficult under certain service disciplines, even if the traffic intensity