Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines
Open Access
- 1 August 1995
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 5 (3) , 637-665
- https://doi.org/10.1214/aoap/1177004699
Abstract
This paper studies the fluid approximation (also known as the functionalstrong law-of-large-numbers) and the stability (positive Harris recurrent) for a multiclassqueueing network. Both of these are related to the stabilities of a linear fluid model,constructed from the first-order parameters (i.e., long-run average arrivals, services androutings) of the queueing network. It is proved that the fluid approximation for thequeueing network exists if the corresponding linear fluid model is...Keywords
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