Onboard Privileged Accounts to PS

Hey guys, hope you can answer my question and maybe give suggestions:

I am trying to onboard my users’ privileged accounts into PS. I have an AD security group where I add the privilege accounts (by batch). My Directory queries, Smart Rules to onboard priv account, including the linking and mapping of the accounts, are all ready to go.

My question is this. If I have just added a group of users into my AD security group and waited for the replication between my domain controllers, how long should I wait for the users to be onboarded into my PS? In the past, I have manually processed each individual smart rules for the propagation. If I have an automated system to add users into the security group and will just wait for the DQ/Smart rules to run, how long do I have to wait? Or can I configure this to run upon changes to the security group? 

I am asking so I can provide some specific timelines/duration for my users.