Amdahl’s Law: It denotes an observation on effectiveness of performance improving of a system part. The main idea is that when one system part is been speed up the effect on overall system would depend on significance and speed up of the part. Suppose the execution of an application needs “T old ” time. Some part of system may require a fraction “α” of this time and the performance is improved by a factor of “k”. The overall execution time will be “ T n e w = T o l d [ ( 1 - α ) + α / k ] ”. The speed up can be computed as “ S = T o l d / T n e w ”. Hence, the expression for speed up is “ S = 1 / ( 1 - α ) + α / k ”.

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Chapter 1.9, Problem 1.2PP

Program Plan Intro

Amdahl’s Law:

It denotes an observation on effectiveness of performance improving of a system part.

The main idea is that when one system part is been speed up the effect on overall system would depend on significance and speed up of the part.

Suppose the execution of an application needs “T_old” time.

Some part of system may require a fraction “α” of this time and the performance is improved by a factor of “k”.

The overall execution time will be “Tnew=Told[(1-α)+α/k] ”.

The speed up can be computed as “S=Told/Tnew”.

Hence, the expression for speed up is “S=1/(1-α)+α/k”.

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