Chapter 11, Problem 1E

Explanation of Solution

Performance of the system under the new execution mix:

• System performance is considered as one of main factor of a processor.
• It is used to determine the speed a problem can be solved.
• It is also used to determine the factors such as number of problems that can be allocated at particular amount of time and also the number of problems that can be handled by the processor.
• The relative performance between the two systems is measured and expected by the run time of the program of the individual.

Given:

The information about the system A and System c are shown in the below table:

Program	Execution Frequency	Execution time System A(sec)	Execution time System C(sec)
V	50%	50	500
W	30%	200	600
X	10%	250	500
Y	5%	400	800
Z	5%	5000	3500

The information about the programs that run at the system A is shown below:

Program	Execution Frequency	Execution time System A(sec)
V	25%	50
W	5%	200
X	10%	250
Y	5%	400
Z	55%	5000

Calculating the weighted average time:

System A:

The below is the weighted average obtained from the table 1:

$0.5\times 50+0.3\times 200+0.1\times 250+0.05\times 400+0.05\times 5000=380$

The below is the weighted average obtained from the table 2:

$0.25\times 50+0.05\times 200+0.1\times 250+0.05\times 400+0.55\times 5000=2817.5$

System C:

The below is the weighted average obtained from the table 1:

$0.5\times 500+0.3\times 600+0$