I'm wondering after setting up a destination and assigning a segment to that destination first, how long before the DSP can act on it, and second, how ofter is the segment refreshed and sent to the destination?
For that you need to let us know which DSP is that, as AAM has integration with a number of DSPs, ad inventories, ad platforms etc.
Some are real time and some accept batch files. Some receive both.
So real time S2S destinations receive data as soon as the user qualifies for the segment. Batch destinations receive a batch file once or twice in 24 hours. They also receive a Full Sync file (Total qualified population) once in a week, month or daily.