Calculate Utilization of I/O controller (U), Total Response time (R), Average Queue size and Total time spent by request in a queue.

Given :

Rs = 5 ms

I/O request rate (a) = 100 IOPS, i.e. $R_a = \frac{1}{a} = \frac{1}{100}$

i.e. = $\frac{1}{100} \times 10^3 ms$

= 10 ms

(a) Utilization = % $ U = \frac{Rs}{Ra}$

= $\frac{5}{10} = 0.5$

= 50%

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