Thursday, January 5, 2023

Mean Time Failure and other Formulas

Important formula for Mean Time Failures




MTTF - Mean Time To Failure
 MTTF = 1 / failure rate = Total #hours of operation / Total #units
 MTTF is an averaged value. In reality failure rate changes over time
because it may depend on age of component.

 Failure rate = 1 / MTTF (assuming average value over time)

 MTTR - Mean Time to Recovery / Repair
 MTTR = Total #hours for maintenance / Total #repairs

 MTTD - Mean Time to Diagnose

 MTBF - Mean Time Between Failures
 MTBF = MTTD + MTTR + MTTF


MTTF - Serial assembly 

 MTTF of system = 1 / SUM (1/MTTFi) for all components i
 Failure rate of system = SUM(1/MTTFi) for all components i

MTTF - Parallel assembly 

MTTF of system = SUM(MTTFi) for all components i

 Availability = Time system is UP and accessible / Total time observed

 Availability = MTTF / (MTTD* + MTTR + MTTF)
or
 Availability = MTTF / MTBF

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