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A simple model of a service-integrated TDM switching system for two services with different bitrates is considered. A multiplex frame of given length is divided into service specific subframes, each used only by one service, and a common subframe used by both services if the service-associated subframes are occupied. This restricts the mutual influence of both services in overload conditions. The throughput and the lost traffics are evaluated as functions of the system parameters such as offered load, extensions of reserved and common channel areas etc. The mutual influence of the services depends on the increase of the offered load relative to one service. General guide lines for the dimensioning of a communication system for two services will be proposed.