Equipment for sorting parcels in a logistics center, the equipment comprising an automated sorting conveyor mounted at a height over a platform and with sorting outlets equipped with sorting chutes in the form of ramps sloping downwards from respective sorting outlets of the conveyor to the platform below the conveyor, and shuttle trolleys mounted on wheels and for automatically moving non-standard parcels that cannot be machine-sorted on the sorting conveyor, the shuttle trolleys travelling along travel aisles passing under the ramps so as to optimize the footprint of the equipment.