A milking system (1), comprising a first milking device (2) and a second milking device (4), an identification device (9) for identifying dairy animals to be milked of a herd of dairy animals, and a control device (13) for determining an estimated treatment time of each dairy animal to be milked, and for classifying each dairy animal to be milked with the aid of a criterion on the basis of the estimated treatment time in at least a first or second group of dairy animals (7, 8), wherein the milking system (1) admits the first group of dairy animals (7) to preferably only the first milking device (2) and admits the second group to preferably only the second milking device (4). By thus making a difference between slow milking and fast milking dairy animals, the efficiency can be improved on the basis of occupancy rate of the milking device. This advantage is found in particular in the case of carrousels or in the case of milking devices to be occupied on the basis of batches.