The Mean Time Between Failure (MTBF) is a measurement of how long equipment lasts between breakdowns or stops working. MTBF (mean time between failures) is a metric that helps organisations understand how long their equipment will last (and if they have a problem with reliability).
How is MTBF used?
The Mean Time Between Failure (MTBF) is a maintenance metric that estimates how long equipment can work without being disrupted. This logically corresponds to the equipment's availability. One of the most important indications of overall equipment performance is availability, also known as uptime, which is always a priority area for increasing productivity. The MTBF and another statistic, the MTTR, can be used to calculate an equipment's total uptime (mean time to repair).
It's vital to remember that MTBF only applies to repairable objects. It can be used to plan for scenarios that need the repair of critical equipment in manufacturing operations. Knowing this information allows you to make informed decisions for the plant.
MTBF vs MTTF
How Do You Calculate MTBF?
The MTBF is calculated by taking the total time a piece of equipment is running (i.e. uptime) and dividing it by the number of breakdowns that occurred over the same period.
MTBF = Total uptime / # of breakdowns
Mean Time Between Failure (MTBF) Example
Take for example a mechanical mixer designed to operate for 10 hours per day. Suppose the mixer breaks down after normally operating for 5 days. The MTBF for this case is 50 hours as calculated below.
MTBF = (10 hours per day * 5 days) / 1 breakdown = 50 hours
The MTBF calculation will require more steps when accounting for longer periods of time with increased occurrences of breakdowns.
Let's imagine a mechanical mixer that runs for 10 hours each day breaks down twice in a 10-day period. The first failure happened 25 hours after the start time and required 3 hours to repair. The second breakdown occurred 50 hours after the mixer was turned on, and it took 4 hours to get it back up and running.
The succession of events is illustrated by the timeline below:
We can more readily account for the machine's entire operational time using the timeline. The overall uptime period for the provided example is the sum of 25, 22, and 46 hours.
The MTBF formula is used to calculate the total uptime and number of breakdowns (or failures) given the total uptime and number of breakdowns (or failures):
MTBF = (25 hours + 22 hours + 46 hours) / 2 breakdowns = 93 hours / 2 breakdowns = 46.5 hours
How to improve MTBF
How to Relate MTBF to System Availability
As previously mentioned, availability metrics are expressed in terms of MTBF and MTTR. Think of it as calculating the availability based on the actual time that the machine is operating—excluding the time it takes for the machine to recover from breakdowns.
This is quantified by the following equation:
Availability = MTBF / (MTBF + MTTR)
Availability is one of the three factors contributing to the overall equipment effectiveness of a plant. The above equation signifies the relationship of improving the MTBF and other metrics related to improving the plant’s performance.