Best Formulas for Calculating MTBF: Operating Time vs. Running Hour Data vs. Start Date Analysis

Question:

When calculating MTBF (Mean Time Between Failures), it is important to consider which formula is best suited for your specific situation. Formula a) suggests using the operating time divided by the number of failures in between, with the operating time being the difference between the current date and the date of first production. However, if running hour data is available, it is recommended to use that for a more accurate calculation of MTBF. On the other hand, formula b) involves dividing the difference between the start date of the last failure and the start date of the first failure by the number of failures minus one. This approach excludes the running time before the first failure and after the final failure from the calculation. It poses the question: is there an advantage to omitting this data from the MTBF calculation?

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Mean Time Between Failures (MTBF) is a useful metric commonly utilized for a set of similar equipment, such as all the pumps within a refinery. The formula for calculating MTBF is (NUMBER OF EQUIPMENT PIECES X TIME PERIOD) divided by the NUMBER OF FAILURES recorded within that time frame. For instance, if a refinery has 1200 pumps and experiences 387 failures in a year, the MTBF would be calculated as (1200 X 12 months) / 387 = 37 months MTBF. When considering a single item, MTBF can be calculated by dividing the time period by the number of failures. For example, if a pump fails twice in one year, the MTBF would be 12 months / 2 = 6 months MTBF. This metric is essential for assessing the reliability and performance of equipment, helping businesses make informed decisions regarding maintenance and operational strategies.

While I believe in using the first formula for calculating MTBF, there are those who recommend using the second formula due to uncertainty surrounding start and end dates. It's important to note that MTBF pertains to the time between failures, not the duration from start to finish. Can someone clarify which formula is commonly used to calculate MTBF, particularly in the context of published MTBF values for pumps, which may show an increase from 1 year to 3 or 4 years?

During a conversation with an employee, I highlighted the importance of commitment by mentioning the expectation of a minimum of 5 to 7 years of service in our company. If meeting this expectation proves challenging, considering traveling and broadening your network could be a viable option. Exploring different approaches, like training, can also help in achieving long-term career goals.

Sam, do you determine the lifespan of your equipment by subtracting the time it operated before the first failure from the time it operated after the last failure? How do you calculate the 7 and 5-year durability of your machinery?

Quote: MTBF is commonly used to assess a cluster of identical equipment, such as all pumps within a refinery. How do we determine what qualifies as "similar" in this context? For instance, do all pumps at the facility share the same type (reciprocating, centrifugal, diaphragm), size, or other key characteristics?

In my experience, both formulas have their own unique value depending on the context of your situation. Formula a) seems to offer a more comprehensive view as it factors in the total operating time from first production. Hence, it could be more insightful when you're looking at a larger timeframe. Formula b), on the other hand, could provide a more precise assessment of a specific period with recurring failures. This could be useful in understanding a concentrated set of problems within a specific time frame as you're only considering the time in which failures actually occurred. Ultimately, I believe the choice between the two should largely depend on the specific needs and goals of your analysis.

Great points raised here! I think the choice between the two formulas really hinges on the context of your data and what insights you're looking for. If you're aiming to understand reliability over the entire operational period, using the total operating time as suggested in formula a) might be more beneficial, as it factors in all operational conditions. However, if you're specifically analyzing failures in a more defined context—like assessing reliability improvements after a redesign—formula b) could provide a clearer picture by focusing on the failures themselves. It really comes down to what you need the MTBF figure for—broader trends or pinpointing specific issues!

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Frequently Asked Questions (FAQ)

FAQ: 1. What are the key considerations when selecting a formula for calculating MTBF?

Answer: - Answer: When choosing a formula for calculating MTBF, factors to consider include the availability of operating time or running hour data, the number of failures, and the specific context of the equipment or system being analyzed.

FAQ: 2. What is the difference between using operating time and running hour data for MTBF calculations?

Answer: - Answer: Operating time is calculated based on the difference between the current date and the date of first production, while running hour data provides more precise information on the actual time the system or equipment has been in operation.

FAQ: 3. Why might one choose formula a) over formula b) for MTBF calculations?

Answer: - Answer: Formula a) is preferable when operating time data is readily available and provides a comprehensive view of the equipment's performance over time. Formula b), on the other hand, excludes certain time intervals and may be more suitable for specific scenarios where such exclusions are deemed necessary for accurate MTBF calculations.

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