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(Solved): 5.8 Mean Time Between Failures (MTBF), Mean Time To Replacement (MTTR), and Mean Time To Failure ( ...
5.8 Mean Time Between Failures (MTBF), Mean Time To Replacement (MTTR), and Mean Time To Failure (MTTF) are useful metrics for evaluating the reliability and availability of a storage resource. Explore these concepts by answering the questions about devices with the following metrics. 5.8.1 [5] <\$5.5> Calculate the MTBF for each of the devices in the table. 5.8.2 [5] <\$5.5> Calculate the availability for each of the devices in the table. 5.8.3 What happens to availability as the MTTR approaches 0 ? Is this a realistic situation? 5.8.4 [5] <\$5.5> What happens to availability as the MTTR gets very high, i.e., a device is difficult to repair? Does this imply the device has low availability?
Expert Answer
5.8.1 - Calculating MTBF MTBF (Mean Time Between Failures) is a measure of the average time between two consecutive failures of a device. It is calculated as the total operating time of a device divided by the number of failures that occur during that time. To calculate the MTBF for each device in the table, we need to know the MTTF and the MTTR. The formula to calculate MTBF is: MTBF = MTTF + MTTR Using the given values in the table, we have: Device 1:MTBF = MTTF + MTTR MTBF = 3 years + 1 day (converted to years) MTBF = 3.0027 years Device 2: MTBF = MTTF + MTTR MTBF = 5 years + 2 days (converted to years) MTBF = 5.0055 years Therefore, the MTBF for device 1 is 3.0027 years and the MTBF for device 2 is 5.0055 years. Python code to calculate MTBF:Output: