[kazinator]

When the doctor's office is inundated with patient visits, you cannot fix scheduling back-logs by fiddling with the scheduling algorithm, no matter how much data you have.

Say the calendar is initially empty and 1000 people want to see the doc, right now. You can fill them all into the calendar, or you can play games that solve nothing, like only filling tomorrow's schedule with 10 people, asking 990 of them to call back. That doesn't change the fact that it takes 100 days to see 1000 patients. All it does is cause unfair delays; the original 1000 can be pre-empted by newcomers who get earlier appointments since their place in line is not being maintained.