A method and an arrangement are provided for actuating and operating a heterogeneous transport network which includes connection elements, such as ATM and Ethernet connections, by controlling a TDM-based switching system. In the area of the transport network, there are gateways and routers which are actuated by the central control device for the purposes of setting up and clearing down a connection. Information relating to the accessibility of specific communications subscribers by a communication medium and communications protocol is either stored in the area of a central control mechanism or is available locally in the area of local access devices for subscriber terminals.