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:
“A heavy summons lies like lead upon me,
And yet I would not sleep.”
—William Shakespeare (1564–1616)
“There was a girl who was running the traffic desk, and there was a woman who was on the overnight for radio as a producer, and my desk assistant was a woman. So when the world came to an end, we took over.”
—Marya McLaughlin, U.S. television newswoman. As quoted in Women in Television News, ch. 3, by Judith S. Gelfman (1976)