A system and method for operating an injection system to create a reduced density polymeric component uses a resin/blowing agent mixture, an injection molding machine having an injection molding screw positioned in a screw section, accumulators, a hydraulic pump, multiple molds, and a cooling system. Coolant is directed into each mold. The injection molding screw is rotated moving the mixture proximate to a receiving portion of the screw section. The injection molding screw is incrementally displaced to one of a plurality of successive injection positions each injecting a portion of the mixture into one of the molds by operating the hydraulic pump and discharging the accumulators. The accumulators are recharged after each injection molding screw displacement using the hydraulic pump. The injection molding screw is displaced and the accumulators recharged for each of the successive injection positions, each defining a stage for filling the molds in a single operating cycle of the injection system.