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:
“Come all you rounders if you want to hear
A story ‘bout a brave engineer;
Casey Jones, that was the rounder’s name
On a heavy eight-wheeler he rode to fame.”
—Unknown. Casey Jones (l. 1–4)
“The two hours’ traffic of our stage.”
—William Shakespeare (1564–1616)