0
$\begingroup$

I find a formula on my book to estimate cpu utilization under multi-processing.

$ U = 1 - P^n $

U: cpu utilization P: cpu idle

I want to know why or how to proof.

Edit:

The book is about operating system, not in english.

This may be like https://stackoverflow.com/questions/20328619/calculate-cpu-utilization/20328695?noredirect=1#comment88673153_20328695

I get an answer that is

it's just basic probability theory

$\endgroup$
  • $\begingroup$ What book? What are these variables? There is no proof afterwards? $\endgroup$ – Evil Jun 13 '18 at 11:03
0
$\begingroup$

$P^n$ is the probability that all "cores" are idle simultaneously, hence $1-P^n$ is the probability that at least one core is in use.

$\endgroup$
  • $\begingroup$ @Vonfry: This is what can be imagined form the little you provide. $\endgroup$ – Yves Daoust Jun 13 '18 at 15:49
  • $\begingroup$ why using $ P^n $, not $ nP $ or others? Just experienced? $\endgroup$ – Vonfry Jun 14 '18 at 1:09
  • $\begingroup$ @Vonfry: elementary probabilities. $\endgroup$ – Yves Daoust Jun 14 '18 at 7:35

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.