The Annals of Applied Probability, Vol. 11, No. 4 (Nov., 2001), pp. 1384-1428 (45 pages) We study the distribution of steady-state queue lengths in multiclass queueing networks under a stable policy.

The problems involve mathematical tools called Lyapunov functions, named after mathematician Aleksandr Lyapunov, which analyse whether a system will remain stable over time, meaning its behaviour ...