For the following systems that have both serial and parallel activities, calculate the speedup ratio.

a. 10 processors fs = 0.1
b. 100 processors fs = 0.1
c. 5 processors fs = 0.4
d. 100 processors fs = 0.01


Speedup ratio is given by p/(pfs + 1 ? fs)
a. 10 processors fs = 0.1 10/(10x0.1 + 1 ? 0.1) = 10/1.9 = 5.26
b. 100 processors fs = 0.1 100/(100x0.1 + 1 ? 0.1) = 100/10.9 = 9.17
c. 5 processors fs = 0.4 5/(5x0.4 + 1 ? 0.4) = 5/2.6 = 1.92
d. 100 processors fs = 0.01 100/(100x0.01 + 1 ? 0.01) = 100/1.99 = 50.25

Computer Science & Information Technology

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