Limits for Queues
Heavy-traffic limits and diffusion approximations
for one queue
for queueing networks
Properties of one-dimensional reflected Brownian motion
Heavy-traffic behavior of tail-probability asymptotes
Large deviation limits and tail probability asymptotics
The conservation laws L =
W and H =
G
Arrivals see time averages (ASTA)
Model stability
Limits for stochastic networks as the network size grows
Steady-state limits
Limits for cumulative processes in steady state
Stochastic-process limits