The rooms are shared out fairly
A room is worth credits, some come first, and the hotel can share out the day itself — a suite to somebody trained for a suite, a VIP never to a trainee.
A room count is not workload. A checkout in a suite is not a light clean in a standard room. Every kind of visit has credits, every room type a multiplier, an extra bed adds a little, and a visit's credits are stamped on it when it is made. Ten credits is roughly an hour of an attendant's day.
Some come first
The room queue is ordered: an arrival due at noon before a stay-over, a VIP before a standard, a room the desk has asked for before all of them. The priority is a rule the hotel writes, and the reason is on the visit.
Auto-assignment
A supervisor shares the day out by hand, or lets the hotel do it. Every unassigned visit, most urgent first, goes to the working attendant who is allowed to do it — suite training for a suite, deep-clean training for a deep clean, never a VIP to a trainee — on their own floor before another, and to the one with the fewest credits so far. An absent attendant's rooms are redistributed the same way.
Assistance
An attendant who is behind asks for help from the phone; the supervisor sees it; the room can be split or moved. The story says who helped.