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This paper adopts the assumption that cellular, Broadband Fixed Wireless Access (BFWA) and DVB systems can be co-operating components of a composite-radio infrastructure. It is believed that through the composite radio concept operators will be enabled to offer very efficient, in terms of cost and Quality of Service (QoS), wireless access to broadband IP-based services. The exploitation of this infrastructure requires new service and network resource management functionality. In this context, this paper addresses a problem called Traffic Distribution in a Composite Radio Environment (TD-CRE). The paper includes a first approach to the definition, mathematical formulation and solution of a version of the TD-CRE problem.