A method for routing interactions arriving at a contact center. The method may include: providing a cost schedule for the interactions that includes a classifier in which categories of interaction types are defined and a cost value corresponding to each of the interaction types; providing a capacity value for agents; and routing the interactions in accordance with a routing process. The routing process may include: receiving the first interaction; pursuant to the classifier, classifying the first interaction as being a first interaction type; determining the cost value of the first interaction as being the cost value corresponding to the first interaction type in the cost schedule; calculating for each of the agents an available capacity; and routing the first interaction to a first agent based on the available capacity of the first agent being sufficient given the cost value.