Heavy Traffic/diffusion Approximation
When the server is heavily loaded (service rate of the queue is only just larger than arrival rate) the queue length process can be approximated by a reflected Brownian motion which converges to the same stationary distribution as the original queueing process.
Read more about this topic: Fork-join Queue, Stationary Distribution
Famous quotes containing the words heavy and/or traffic:
“What sport shall we devise here in this garden
To drive away the heavy thought of care?”
—William Shakespeare (1564–1616)
“To treat a “big” subject in the intensely summarized fashion demanded by an evening’s traffic of the stage when the evening, freely clipped at each end, is reduced to two hours and a half, is a feat of which the difficulty looms large.”
—Henry James (1843–1916)