School of Mathematics, University of Minnesota

From the reviews: "This book deals with the issue of the queueing network stability. ... the basic fluid model is employed to demonstrate the global rate stability, often called globally weak stability. This book, including the material from a series of nine lectures given at the Saint-Flour-Probability Summer School, 2006, is very important. In my opinion it answer the needs of all who use queueing networks in their research studies." (Jerzy Martyna, Zentralblatt MATH, Vol. 1152, 2009) "This is a mathematically complete and largely self-contained exposition of the fluid-limit approach to the stability analysis of queueing systems. It is a good introduction for mathematicians, and an excellent reference for anyone who is mathematically mature and interested in the issue of stability." (Adam Shwartz, Mathematical Reviews, Issue 2010 b)

• The Classical Networks.- Instability of Subcritical Queueing Networks.- Stability of Queueing Networks.- Applications and Some Further Theory.