Abstract: Methods for controlling the blocking of a network-supported primary service by a network-supported secondary service sharing the same network router/switch.A probabilistic method for resource control identifies for each secondary service connection request the likelihood that if it is allocated a network router/switch server, a subsequent primary service connection request will be blocked, i.e., denied a server allocation of its own. If it is determined that it is unlikely that allocating a secondary service connection request a server will cause a subsequent primary service connection request to be blocked, an idle server is allocated to a currently pending secondary service connection request at the router/switch.