Question

The aging algorithm with a=1/2 is being used to predict run times. The previous four runs, from oldest to most recent, are 40, 20, 40, and 15 msec. What is the prediction of the next time?

Answer 1

The prediction for the next run time using the aging algorithm with a=1/2 and the given data is approximately 30.9375 msec.

Step-by-step explanation:

The aging algorithm with a=1/2 is used to predict run times by weighing recent data more heavily than older data. In this case, the previous four run times are 40, 20, 40, and 15 msec. To calculate the prediction for the next time, we need to find the weighted average of these four times. The weights are assigned based on their age, with the most recent time having the highest weight. Using the formula for the weighted average, we get:

(40 * 1/2) + (20 * 1/4) + (40 * 1/8) + (15 * 1/16) = 20 + 5 + 5 + 0.9375 = 30.9375 msec

Therefore, the prediction for the next time is approximately 30.9375 msec.

The aging algorithm considers a weighted average of the previous predicted time and the actual time, with the aging factor alpha determining the influence of past predictions on the current one