Talk:Heavy traffic approximation

math notation

I found two instances of

$lim_{t\to \infty }\,$

and changed them to:

$\lim _{t\to \infty }\,$

Just change the code from lim_{t\to\infty} to \lim_{t\to\infty}. Just one backslash.

I also did a bunch of other similar TeX corrections. See WP:MOS and standard LaTeX manuals. Michael Hardy (talk) 16:19, 29 March 2013 (UTC)

Is there an error here?

$\beta =(1-\rho ){\sqrt {s}}$

with ρ representing the traffic intensity and s the number of servers. Traffic intensity and the number of servers are increased to infinity and the limiting process is a hybrid of the above results.

Since utilization rate is supposed to be below 1, I don't see how this could be taken in the limit to infinity. Checking the relevant equation in 2.2 of the Halfin and Whitt paper, it looks like the limit is in `s' (there in `n') only, not `s' and rho. It could be the limit as rho goes to 1 and `s' goes to infinity. — Preceding unsigned comment added by 132.200.132.105 (talk) 16:29, 9 January 2023 (UTC)