In a certain computation, 90% of the work is vectorizable. Of the remaining 10%, half is parallelizable for an MIMD machine. What are the speedups over sequential execution for a 10 PE SIMD machine and a 10 processor MIMD machine on this computation?

The SIMD only gets the effect of 5.3 processors from 10 processors while the MIMD only gets the effect of 6.9 processors out of 10 processors.

Explanation:

According to Amdahl's law for an SIMD machine, the fraction parallel work is 90% while the fraction of serial work is 10% for a time , ,

The speedup =

for an MIMD machine, the fraction parallel work is 95%, since vectorized work can also be paralleled by multiple processors, the time for 10 processors is

, ,

The speedup =

The SIMD only gets the effect of 5.3 processors from 10 processors while the MIMD only gets the effect of 6.9 processors out of 10 processors.

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