For a new transmission time interval, respective weights are assigned to queues. The queues are ranked as a function of the weights assigned to them. The first queue according to the ranking is selected. A quantity dependent on the radio conditions in respect of the radio terminal to which the said radio session relates, and on a number of packets already transmitted within the context of the said session is calculated for each session within the context of which it is required to transmit data packets placed in the selected queue. Communication resources are allocated to some of the sessions so as to transmit a number of data packets placed in the selected queue, depending on the weight assigned to the selected queue, the said sessions being determined as a function at least of the said quantities calculated. Once the selected queue has been served, and if there are still resources available for the transmission time interval, we pass to the next queue in the ranking so as to serve it.