IMA Complex Systems Seminar

1:30, Thursday, January 29, 2004

Application of fluid models to recurrence and central limit theorems of queueing networks

Maury Bramson

Department of Mathematics

University of Minnesota

Minneapolis, MN 55455

Over the past decade, fluid models have become one of the main tools for analyzing queueing networks. They can be used to study the stability (i.e., recurrence) and heavy traffic limits (i.e., scaled diffusive limits) of queueing networks. In both cases, this provides a systematic approach for reducing problems in a random setting to simpler deterministic ones. The talk will provide a summary of the main results in the area.