The decision within a packet processing device to transmit a newly arriving packet into a queue to await processing or to discard the same packet is made by a flow control method and system. The flow control is updated with a constant period determined by storage and flow rate limits. The update includes comparing current queue occupancy to thresholds and also comparing present queue occupancy to previous queue occupancy. The outcome of the update is a new transmit probability value. The value is stored for the subsequent period of flow control and packets arriving during that period are subject to a transmit or discard decision that uses that value.