A circuit that receives queue number that indicates a queue stored within a memory unit and a packet descriptor that includes a drop precedence value, and in response determines an instantaneous queue depth of the queue. The instantaneous queue depth and drop precedence value are used to determine a drop probability. The drop probability is used to randomly determine if the packet descriptor should be stored in the queue. When a packet descriptor is not stored in a queue the packet associated with the packet descriptor is dropped. The queue has a first queue depth range. A first drop probability is used when the queue depth is within the first queue depth range and the drop precedence is equal to the first value. A second drop probability is used when the queue depth is within the first queue depth range and the drop precedence equal to a second value.