A system for milking a group of milking animals, in particular cows, comprises an accommodation space where the animals roam freely, and a plurality of fixed milking stations. The milking stations are each connected to the accommodation space by a walkable connection. Automatic milking systems, in the milking stations, automate milking of animals. The milking systems comprise connection systems for automatic connection of milking cups to the teats of the animal. The connection systems comprise a movable robot device that connects milking cups to the teats of the animal in said milking station. Expulsion means can be activated by a control system in each of the milking stations to give an expulsion stimulus for the animal to leave said milking station. The conditions for expulsion of the animal include the animal fulfilling a predefined expulsion criterion, and all other milking stations are occupied by other animals.