yes Set up a manual Condition with the ODATE STAT. Set it as incondition for that job . The job will run only when the Condition is avilable and when the runtime criteria is satisfied. Sytarted tasks will post the condition Every half an hour if is avilable.

It depends on newday timing as well. Copy the same job and put in the same table with the different scheduling criteria. For Eg if the newday happens at 8:00 system time in 24hour clock you can set it like this. From 0800 UNTIL 0200 From target Every 20 minutes From 0400 UNTIL 0759 From target Every...