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ISRO2020-67

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What is the availability of the software with the following reliability figures

Mean Time Between Failures (MTBF) is $20$ days

Mean Time To Repair (MTTR) is $20$ hours

  1. $90\%$
  2. $96\%$
  3. $24\%$
  4. $50\%$
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GIven MTBF = 20 days = $20\times24 = 480$ hours.
MTTR = 20 hours.

$Availability = \frac{MTBF}{MTBF+MTTR}\times100$
$\rightarrow\frac{480}{480+20}\times100=\frac{480}{500}\times10=96\%$

Option B

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GIven MTTR = 20 hrs , MTBF = 20 days , converting it to hrs we get 20*24 =480 hrs , now MTTF= MTBF-MTTR =n480-20=460. , Availability we have = MTTF/MTBF = 460/480 = 0.958 approximately = 96%
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