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Calculate, Utilization of I/O controller, Total Response time, Average Queue size, Total time spent by a request in a Queue
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Given :

Arrival rate (a) = 80 IOPS i.e. $R_a = \frac{1}{a}$

service time = 6 ms = $\frac{1}{80} \times 10^3$

= 12.5 ms

To calculate :

1) Utilization of I/O controller $\therefore U = \frac{Rs}{Ra}$

$\frac{6}{12.5} = 0.48$

= 48 %

2) Total Response time (R) = $\frac{Rs}{1-U}$

= …

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