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How to Convert FIT to MTBF

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If all the uptime durations x i are independent and identically distributed i. For example, assume you tested 3 identical systems starting from time 0 until all of them failed. Statistically there is absolutely no guarantee whatsoever, that one specified disk does not crash within the first week of its life. A disk device contains a lot of components that might all fail. For example, a light bulb in a machine is replaced after every Tp hours of operation or replaced at failure. Mean time between replacements can be used to find the optimum maintenance interval to minimize the cost per unit time. ReliaSoft's , and software packages will be used for illustration.

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MTBF versus MTBCF

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You need JavaScript enabled to view it. We support the promotion of System Reliability and Safety and wish to make Reliability Prediction more accessible for reliability engineering practitioners and students. For example, if a thousand devices are run for several hours each and 1 percent of them malfunction, this will yield different results than if one unit is tested until it eventually fails. The expected time between two adjacent replacements is given by: 4 The first term in the above equation is for the case when the replacement occurs at the scheduled interval T p. From the simulation results shown in Figure 5, we know that the number of failures is 14. If you increase the number of simulations and use a larger simulation end time, you will get a result that is even closer to the analytical solution. However we are committed to continuously improve it and therefore appreciate your comments and suggestions - please send them to This email address is being protected from spambots.

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If the replacement time is short and can be ignored, there is a closed form solution for mean time between replacements. This failure and repair process can be illustrated using the following graph. The repair lasts for 7 hours and the system is restored at 50 hours. Again, this calculation assumes the uptime durations x i are i. The mean time between replacements metric describes the average time between two consecutive replacements under these conditions. Figure 6: Failure and Replacement Process for a System with Scheduled Replacements In Figure 6, T1 is the time to the first failure, T2 is the duration between failure 1 and 2 and T3 is the duration between failure 2 and 3. In fact, the purpose of this article is to clear up the confusion by defining these terms and using examples to illustrate their differences and discuss the applications of each term.

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What is Mean Time Between Failures (MTBF)?

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Statistics only tell you that this event has a comparatively low probability. Figure 4: Simulation Settings in BlockSim The simulation results are: Figure 5: Simulation Results in BlockSim From the results, we can see that the total number of events replacements is 39. Usually, it is used for non-repairable components or subsystems in a repairable system. Mean Time Between Replacements: This metric is usually used for non-repairable components or subsystems in a repairable system. This is the mean statistical average of the time a disk device operates until it fails. For example, assume you are testing a system that can be repaired when there is a failure. Then after working for 13 hours, the system fails at 43 hours.

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MTBF and MTTR

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Using simulation is a better choice. . The failures causes the system to go down. The second failure is at 27 hours and the repair duration is 3 hours. The simulation settings are shown next. For example, a light bulb in a system is replaced every Tp hours of working or replaced at failures. However, for a repairable system, the i.

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You can add one more cycle by combining x 0 and y 3. The first failure happens at 10 hours and it takes 5 hours to fix. Since the replacement duration is ignored in Eqn. This average time excludes the time spent waiting for repair, being repaired, being re-qualified, and other downing events such as inspections and preventive maintenance and so on; it is intended to measure only the time a system is available and operating. The duration of the downing events are the duration of repairs. For example, a failure and replacement process is given in Figure 6. You also can use ReliaSoft's BlockSim to estimate this value through simulation.

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MTBF and MTTR

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The first system failed at 10 hours, the second failed at 12 hours and the third failed at 13 hours. Examples show how they are used for different purposes. Conclusion In this article, four commonly-used terms in reliability engineering are discussed. This implies that a company with 25 disks of this brand suffer roughly one disk failure every two years. The simulation time is 100,000. With other information, such as the logistic delays, crew costs and part costs, you can find an optimum replacement interval. This unit of measurement includes only operational time between failures and does not include repair times, assuming the item is repaired and begins functioning again.

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MTBF and MTTR

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This metric describes the average time between two consecutive failures under these conditions. We certainly hope that the addition of two more terms in the title won't scare readers away! In reality however, data unavailability can arise from more complex problems that are not included in these figures. Often, the repair duration is relatively short compared to the time between failures and can be ignored. . .

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MTBF Calculation by EXAR

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