Mathematical content of IT standards?

Question

Mathematics

There is some customized system including Linphone, Asterisk, JACK, Liquidsoap, IceCast, VLC. To promote this system as a thesis, it is necessary that the final document include a consideration of some mathematical operations with difurs / integrals (so that there are five formulas, or even better - modeling a certain situation and solving it).
At first I wanted to look at Speex coding, but didn't find anything. Then Opus, but the eyes swam from the documentation and the severity of the operations. Then he began to dig Ethernet, came across a book by L. Quin and R. Russell, but there are only descriptions as such, there are no formulas and laws. Other sources were even less informative. Something like this would be very helpfulto consider, but, again, that person was not answered even in a mathematical forum.
This is where the ideas ended. Has the community ever considered something like this? Any ideas that can be backed up with articles/books/documentation/whatever? It would be nice in Russian, but I don't even hope anymore.

Answer 1

You can read the theory of teletraffic. There are many good materials.
The reliability of the system can also be estimated, but it will be difficult to assess the reliability of individual nodes.