At telecommunications switches and routers, RED (random early packet discard) uses the queue depth to determine whether to keep or discard each packet as it arrives at a queue. This is done by determining a discard probability (P), which is dependent on the average depth of the queue, and comparing the discard probability to a random number. One way of performing the invention uses the summed discard probabilities, instead of counting the number of packets (count) and multiplying that by the current discard probability, as in the prior art. The resulting sum is compared to the random number for discard operation. The disclosure further describes a more accurate way of calculating average depth of a queue, especially when the queue encounters periods of idleness.