Question

A system is composed of 4 components:➢The performance of 5% of the system can be doubled. We will call this part component 1➢The performance of 20% of the system can be improved by 80%. We will call this part component 2➢The performance of 45% of the system can be improved by 50%. We will call this part component 3.The performance of the remaining of the system cannot be improved. We will call this part component 4Using Amdahl's law, which component is most worthy to work on to get themaximum overall improvement?

Answer 1

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Solution ::
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SO, From the Above Given Problem

According to Amdahl's Law,

  

So more the speedup, more the improvement in system.

Lets consider initial performance of the system i.e. Performance without enhancement be 100 ( for simplicity ).

For calculating Performance with enhancement we will use,

New performance of system = 100 - initial performance of a component + new performance of the component

Component 1:

initial performance = 5 % of 100 = 5

new performance = 5 * 3 = 15

speedup = (100 - 5 + 15)/100 = 1.1

Component 2:

initial performance = 20% of 100 = 20

new performance = 20 + 80% of 20 = 36

speedup = (100 - 20 + 36)/100 = 1.16

Component 3:

initial performance = 45% of 100 = 45

new performance = 45 + 50% of 45 = 67.5

speedup = (100 - 45 + 67.50) /100 = 1.225

Component 4:

No improvements

so, speed up = 1

Best improvement is achieved in case of Component 3, so it is most worthy to work on to get maximum overall improvement.