A method for managing a buffer storage and load sequencing system, receiving non-sequenced loads, providing a sequence of loads, and including a buffer storage unit (having entrance levels, at least one recirculation level, and an entrance elevator facing entrances and an exit elevator facing exits of the levels. A management unit iteratively manages the entrance elevator by, at each iteration (even if there are loads to be recirculated in the system): selecting a load at exit from an entrance conveyor or at exit from the recirculation level; if the selection of one of the entrance levels is completed, generating a task for the entrance elevator of transferring the selected load to the entrance of the selected level; if not, selecting a level of loads to be recirculated and assigning the load(s) on this level a “load(s) to be recirculated” status without generating a task of transfer for the entrance elevator.