On Mon, Jan 13, 2014 at 05:16:00PM +0000, Viktor Dukhovni wrote:
> The more mathematically astute among you might guess that "0.63"
> is close to the limiting ratio, and that the limit is the ever
> common "1 - 1/e". So the least frequent host is used at least 63%
> as often as the most frequent.
I was a bit hasty, the limiting ratio is 2/(1+e) or ~0.538.
Convergence is rather slow, so in practice, when the DNS server
does not randomize MX and A records, you're far more likely to run
into load ratios (least loaded/most loaded) between 0.6 and 1.0:
Address count Load ratio
------------- ----------
2 1.000
3 0.800
4 0.720
5 0.677
6 0.651
7 0.633
8 0.620
9 0.610
10 0.602
11 0.596
12 0.590
13 0.586
14 0.583
15 0.579
16 0.577
...
100 0.544
1000 0.5385
10000 0.53794
100000 0.53789
1000000 0.537883
infinity 0.5378828427399902414976815163563274512697... :-)
--
Viktor.
