A method for processing connection requests for guaranteed bit rate connections in a transport network section of a mobile service network, wherein with a connection request for a guaranteed bit rate connection a required bandwidth and a quality class identifier value are specified on the air interface, the method being carried out by a Transport Admission Control TAC node and comprising the steps of - mapping the quality class identifier value of the connection specified on the air interface to a service class identifier value used in the transport network section; - determining a value s representing an initial estimate of the respective connection bandwidth required in the transport network section using at least one of the required bandwidth specified for the connection on the air interface and its respective quality class identifier value, wherein s = λ * maxBitRateOnAir, and maxBitRateOnAir is a maximum requested bit rate and λ ≥ 1 is a predetermined constant for the quality class identifier value; - determining a mean m of a traffic load in the transport network section in a predetermined time period preceding one of the connection requests and a standard deviation σ of the traffic load in the transport network section in the predetermined time period; and - deciding about acceptance or rejection of the one of the connection requests using the service class identifier value, the value representing an initial estimate of the respective connection bandwidth required in the transport network section, the mean m and the standard deviation σ, wherein it is decided that one of the connection requests is accepted if the following condition is fulfilled: T − m + s + AC σ 2 + β × s 2 + A C 2 > α wherein: T is a predetermined threshold; AC is an estimated traffic load due to connection requests accepted in the predetermined time period; α and β are predetermined constants; and wherein it is decided that the one of the connection requests is rejected if the condition is not fulfilled. - mapping the quality class identifier value of the connection specified on the air interface to a service class identifier value used in the transport network section; - determining a value s representing an initial estimate of the respective connection bandwidth required in the transport network section using at least one of the required bandwidth specified for the connection on the air interface and its respective quality class identifier value, wherein s = λ * maxBitRateOnAir, and maxBitRateOnAir is a maximum requested bit rate and λ ≥ 1 is a predetermined constant for the quality class identifier value; - determining a mean m of a traffic load in the transport network section in a predetermined time period preceding one of the connection requests and a standard deviation σ of the traffic load in the transport network section in the predetermined time period; and - deciding about acceptance or rejection of the one of the connection requests using the service class identifier value, the value representing an initial estimate of the respective connection bandwidth required in the transport network section, the mean m and the standard deviation σ, wherein T is a predetermined threshold; AC is an estimated traffic load due to connection requests accepted in the predetermined time period; α and β are predetermined constants; and wherein