Which expression best captures the relationship between MTBF, MTTR, and system availability?

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Prepare for the Network Operations Management Test with multiple choice questions, each with explanations. Assess your knowledge on protocols, backup strategies, and operational management. Enhance your readiness for the exam!

Multiple Choice

Which expression best captures the relationship between MTBF, MTTR, and system availability?

Explanation:
Availability is the fraction of time a system is up. In a typical cycle, the system runs for MTBF time between failures (uptime) and would be down for MTTR time during repairs (downtime). The total cycle time is MTBF + MTTR. So the proportion of time the system is available is uptime divided by total time: MTBF / (MTBF + MTTR). This expresses how longer between failures and quicker repairs improve availability. The other forms either invert that ratio, treat downtime as the value, or yield a number greater than 1, none of which correctly represent the uptime fraction.

Availability is the fraction of time a system is up. In a typical cycle, the system runs for MTBF time between failures (uptime) and would be down for MTTR time during repairs (downtime). The total cycle time is MTBF + MTTR. So the proportion of time the system is available is uptime divided by total time: MTBF / (MTBF + MTTR). This expresses how longer between failures and quicker repairs improve availability. The other forms either invert that ratio, treat downtime as the value, or yield a number greater than 1, none of which correctly represent the uptime fraction.

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