A method regulates the admission control of, and requests for routing of, virtual circuits in a network by determining network resource requirements for the virtual circuits. In particular, the network resource requirements are based on a set of parameters used to control the flow of information from a communications device onto the virtual circuit. The requirements for network resources typically include buffer space requirements in network nodes and bandwidth requirements in network links, and the parameter used to control the flow of information are those associated with an access regulator. The network resource determination is made for the case where lossless performance in the network is required and in the case where statistical multiplexing with limited loss is allowed. Both constant bit rate and variable bit rate information is considered.