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Considering seek time (Rs=5ms) as given above and I/O request arrives at a rate 100 I/Os per second.

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

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Given :

Rs = 5 ms

I/O request rate (a) = 100 IOPS, i.e. Ra=1a=1100

i.e. = 1100×103ms

= 10 ms

(a) Utilization = % U=RsRa

= 510=0.5

= 50%

(b) Total Response time = R = Rs1U

= 510.5=10ms

(C) Average Queue size = u21u

= (0.5)210.5=0.5

(d) Time spent by request in queue = U x R

= 0.5 x 10 = 5 ms.

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