A system for optimized routing of interactions, comprising media servers, a statistics server, a routing database, and a routing server. Upon receiving or initiating an interaction, a media server sends a route request message to the routing server, the statistics server receives event notifications from the media servers and computes one or more statistics, and the routing server executes, using statistical data from the statistics server and data from the routing database, a routing script comprising a constraint-based optimization process in response to the route request message.