This paper surveys recent work on the stability of open multiclass queueing networks via fluid models. We recapitulate the stability result of Dai [8]. To facilitate study of the converse of the stability result, we distinguish between the notion of fluid limit and that of fluid solution. We define the stability region of a service discipline and the global stability region of a network. Examples show that piecewise linear Lyapunov functions are powerful tools in determining stability regions.

[8] On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models, Annals of AppliedProbability, (to appear).

Back to Stochastic Networks Table of Contents

Back to the IMA Home Page