A method includes receiving a plurality of requests, determining a plurality of first bank identifiers specifying respective physical memory banks, and selecting, based at least on the first bank identifiers, a first set of requests to be processed according to a scheduling hierarchy. Selecting the first set of requests includes prohibiting any two requests from being associated with a same first bank identifier. The method also includes processing, during a single processing cycle, ones of the first set of requests at respective nodes within a single level of the scheduling hierarchy. The method also includes, responsively at least to processing ones of the first set of requests at respective nodes within the single level of the scheduling hierarchy, selecting a queue, and, responsively at least to selecting the queue, causing one or more packets corresponding to a traffic class associated with the queue to be sent to an egress port.