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:
“Two heavy trestles, and a board
Where Sato’s gift, a changeless sword,
By pen and paper lies,
That it may moralise
My days out of their aimlessness.”
—William Butler Yeats (1865–1939)
“There’s something about the dead silence of an office building at night. Not quite real. The traffic down below is something that didn’t have anything to do with me.”
—John Paxton (1911–1985)