A method for allocating resource blocks on a cellular network including transceiver stations to provide cell coverage for allowing user equipment within the cell to exchange data via uplink or downlink. The method includes, at a cell, reiterating operations at each or a group of transmission time intervals. The operations include listing user equipment requiring resource blocks in a priority list; b) for the user equipment listed in the priority list, executing operations b1) and b2) or b1) and b3): b1) selecting a set of resource blocks including at least one resource block; b2) if the selected set of resource blocks has not been assigned to other user equipment, assigning to the user equipment the selected set of resource blocks; b3) if the selected set of resource blocks has been assigned to other user equipment, replacing the user equipment from the priority list with user equipment in a collision list.