The weighting of past history in affecting the Exponentially Weighted Moving Average function that calculates the current average queue depth. The equation uses diffServRandomDropWeight/65536 as the coefficient for the new sample in the equation, and (65536 - diffServRandomDropWeight)/65536 as the coefficient of the old value. Implementations may limit the values of diffServRandomDropWeight to a subset of the possible range of values, such as powers of two. Doing this would facilitate implementation of the Exponentially Weighted Moving Average using shift instructions or registers.