Delay Effects on the Asymptotic Stability of Various Fluid Models in High-Performance Networks

International audienceRoughly speaking, a communication network consists of a collection of (network users/sources) elements interconnected to transfer information or data from one (network) node to another node through some (transmission or communication) links. A high-performance network represents a communication network able to support a large variety of applications, which can be transferred at high-speed and with low (communication) delay, and its dominant feature is the extremely large scale of the system [32]. There exists basically two ways to model communication networks systems using (discrete- or continuous-time) stochastic representations and/or deterministic (continuous-time) approximations, and we shall not insist on the difficulty of the task. Each modeling presents advantages and inconveniences, function of the difficulty in handling and/or analyzing the corresponding qualitative properties. © Springer-Verlag Berlin Heidelberg 2005