Don't wait for, or consider, meetings.
Stand up now, walk up to LineManager and say
Steve, I've realized we can automate the build process. It won't take more than a week using BuildORama. The savings would be spectacular - should we do this?
Just make it a live, hot, open issue.
Meetings, shmeetings. Email, Peemail. Just walk over and raise the issue.
the language you're looking for, actually three words, is:
"Steve, I've realized [ ]"
- in the rest of that first sentence state your plan (shouldn't take more than 5, 6 words)
- in the second sentence state how long it will take. (So, "It won't take more than [state time].") You can add something technical (no more than two words, see my example above) so it sounds technical.
- the third sentence is formulaic. "The savings would be spectacular - should we do this?"