The invention relates to methods for scheduling of uplink transmission and generating transport blocks according to multiple received uplink assignments Furthermore, the invention is also related to the implementation of these methods in hardware and software. To propose strategies for generating plural transport blocks within a given time constraint, the invention introduces prioritization of the uplink assignments, so that multiple uplink assignments can be ranked in the mobile terminal in a priority order. The prioritization of the uplink assignments is used to determine the order in which the individual transport blocks corresponding to the uplink assignments are filled, respectively how the data of different logical channels is multiplexed to the transport blocks for transmission in the uplink. Another aspect of the invention is to suggest joint logical channel procedures that operate on virtual transport blocks accumulated from the received uplink assignments. One or more such joint logical channel procedure can be performed in parallel.