Suppose your company has decided that it needs to make certain busy servers faster. processes in the workload spend 60% of their time using the cpu and 40% on i/o. to achieve an overall system speedup of 25%: a. how much faster does the cpu need to be? b. how much faster does the disk need to be?

CPU need 50% much faster

disk need 100% much faster

Explanation:

given data

workload spend time CPU  = 60%

workload spend time I/O = 40%

achieve overall system speedup = 25%

to find out

How much faster does CPU need and How much faster does the disk need

solution

we apply here Amdahl’s law for the overall speed of a computer that is express as

S =      .............................1

here f is fraction of work i.e 0.6 and S is overall speed  i.e 100% + 25% = 125 % and k is speed up of component

so put all value in equation 1 we get

S =  

1.25 =  

solve we get

k = 1.5

so we can say  CPU need 50% much faster

and

when f = 0.4 and S = 125 %

put the value in equation 1

S =  

1.25 =  

solve we get

k = 2

so here disk need 100% much faster

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