Aspire Faculty ID #18825 · Topic: UGC NET Computer Science Nov 2021 (Paper II) · Just now
UGC NET Computer Science Nov 2021 (Paper II)

A system has $99.99\%$ uptime and has a mean-time-between-failure of $1$ day. How fast does the system has to repair itself in order to reach this availability goal?

Solution

Availability formula is:

$Availability=\frac{MTBF}{MTBF+MTTR}$

Given,

$Availability=99.99\%=0.9999$

$MTBF=1$ day $=24\times60\times60=86400$ seconds

Now,

$0.9999=\frac{86400}{86400+MTTR}$

$86400+MTTR=\frac{86400}{0.9999}$

$MTTR=\frac{86400}{0.9999}-86400$

$MTTR\approx 8.64$ seconds

So, repair time should be approximately $9$ seconds.

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