Given the Burst Time (BT) of 4 processes P1, P2, P3 and P4 as BT(t1, t2, t3,…

2017

Given the Burst Time (BT) of 4 processes P1, P2, P3 and P4 as BT(t1, t2, t3, t4) = (4, 8, 6, 7), smoothing factor(α) = 0.5, and T1 = 10, what will be the burst time of process P5 for Shortest Job First scheduling, using the technique of exponential averaging?

  1. A.

    6.875 unit time

  2. B.

    6.25 unit time

  3. C.

    5.785 unit time

  4. D.

    5.5 unit time

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Show answer & explanation

Correct answer: A

The next burst time Tn+1 is predicted using the exponential averaging formula:

Tn+1 = α tn + (1 - α) . Tn

Given α = 0.5 and T1 = 10:

  • For P2 (T2): 0.5(4) + 0.5(10) = 7

  • For P3 (T3): 0.5(8) + 0.5(7) = 7.5

  • For P4 (T4): 0.5(6) + 0.5(7.5) = 6.75

  • For P5 (T5): 0.5(7) + 0.5(6.75) = 6.875

Thus, the predicted burst time for P5 is 6.875 unit time. Correct option is A.

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