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:
“Bees
Shaking the heavy dews from bloom and frond.
Boys
Bursting the surface of the ebony pond.”
—Wilfred Owen (1893–1918)
“Cry;—and upon thy so sore loss
Shall shine the traffic of Jacob’s ladder
Pitched betwixt Heaven and Charing Cross.”
—Francis Thompson (1859–1907)