MTBF - MTTR
Reliability measures can be time related or cost related
Reliability
Time Measures Cost Measures
• Failure Rate
• MTBF
• MTTF
• Reliability Index
• Cost of Stores
& Spares /
unit of
production
• Cost of stores
& spares pa
2
Reliability Measures
• Failure rate () : Refers to the frequency of failures
or the rate at which failures occur over a unit
period of time
• It is expressed as No of failures per hour
or per month, etc.
Total Operating hours
Failure rate () = Number of Breakdowns
3
Reliability Measures
• Mean Time between Failures (MTBF) : is the
reciprocal of failure rate
• Mathematically,
Total Operating hours
MTBF = 1 =
 Number of
Breakdowns
4
Other Reliability Measures
© ECS Limited 5
• Mean Time To Failure: Common reliability measure for
non- repairable systems like light bulbs, resistors and
transistors
MTTF = Total Operating Hours for an Equipment
Population Total number of failures
• Reliability Index : Is defined as the probability of zero
system failures during a certain time interval t
Reliability Index = R(t) = e-t
Maintainability
• Maintenance is performed on a system or
equipment in the event of a failure, or as a
preventive measure to preempt an expected failure
• Maintainability is a characteristic which addresses
the ease, accuracy, timeliness and economy of
maintenance actions
6
Reliability measures can be time related or cost related
Maintainabilit
y
Time Measures Cost Measures
• MTTR (Mct)
• Mpt
• Cost of
RPM/unit
• Cost of RPM pa
• Cost per
repair
action
• Maintenance
related
environment
al clean-up
cost
7
Maintainability Measures
• Mean Time To Repair (MTTR)
– It is also know as Mean Corrective maintenance Time (Mct)
– It is the composite value representing the arithmetic
mean of individual cycle times for any number of
individual maintenance actions over the system
utilization phase
• Mathematicall
y,
Where,
i – failure rate of the ith system element
Mcti
– corrective maintenance time of the ith system
element

i
MTTR 
(i )
(Mcti )
8
• Build a process
flow diagram
• MTTR can be
reduced by
– Removing delays
– Simplifying tasks
– Parallel activities
MTTR can be improved by focussing on individual Mct for various
corrective action tasks
Detection
Preparation
for maintenance
Location & Isolation
Disassembly (access)
Removal of faulty item Repair
Installation of
spare/repair part
Reassembly
Alignment &
Adjustment
Checkout
or
9
Exercise : What is the MTBF and MTTR?
24.2 hr
10
7.1 hr 27.4 hr 35.3 hr 6.3 hr 46.7 hr 5.0 hr
2.1 hr 7.1 hr 4.2 hr 1.8 hr 3.5 hr 8.3 hr
Breakdowns
Operation
Exercise : What is the MTBF and MTTR?
• Operating time = 152 hours
• Repair time = 27 hours
• Number of failures = 6
• MTBF = 152/6 = 25.33 hours
• MTTR = 27/6 = 4.5 hours
24.2 hr
11
7.1 hr 27.4 hr 35.3 hr 6.3 hr
Operation
46.7 hr 5.0 hr
Breakdowns
2.1 hr 7.1 hr 4.2 hr 1.8 hr 3.5 hr 8.3 hr

mtbf mttr modeling maintenance engineering

  • 1.
  • 2.
    Reliability measures canbe time related or cost related Reliability Time Measures Cost Measures • Failure Rate • MTBF • MTTF • Reliability Index • Cost of Stores & Spares / unit of production • Cost of stores & spares pa 2
  • 3.
    Reliability Measures • Failurerate () : Refers to the frequency of failures or the rate at which failures occur over a unit period of time • It is expressed as No of failures per hour or per month, etc. Total Operating hours Failure rate () = Number of Breakdowns 3
  • 4.
    Reliability Measures • MeanTime between Failures (MTBF) : is the reciprocal of failure rate • Mathematically, Total Operating hours MTBF = 1 =  Number of Breakdowns 4
  • 5.
    Other Reliability Measures ©ECS Limited 5 • Mean Time To Failure: Common reliability measure for non- repairable systems like light bulbs, resistors and transistors MTTF = Total Operating Hours for an Equipment Population Total number of failures • Reliability Index : Is defined as the probability of zero system failures during a certain time interval t Reliability Index = R(t) = e-t
  • 6.
    Maintainability • Maintenance isperformed on a system or equipment in the event of a failure, or as a preventive measure to preempt an expected failure • Maintainability is a characteristic which addresses the ease, accuracy, timeliness and economy of maintenance actions 6
  • 7.
    Reliability measures canbe time related or cost related Maintainabilit y Time Measures Cost Measures • MTTR (Mct) • Mpt • Cost of RPM/unit • Cost of RPM pa • Cost per repair action • Maintenance related environment al clean-up cost 7
  • 8.
    Maintainability Measures • MeanTime To Repair (MTTR) – It is also know as Mean Corrective maintenance Time (Mct) – It is the composite value representing the arithmetic mean of individual cycle times for any number of individual maintenance actions over the system utilization phase • Mathematicall y, Where, i – failure rate of the ith system element Mcti – corrective maintenance time of the ith system element  i MTTR  (i ) (Mcti ) 8
  • 9.
    • Build aprocess flow diagram • MTTR can be reduced by – Removing delays – Simplifying tasks – Parallel activities MTTR can be improved by focussing on individual Mct for various corrective action tasks Detection Preparation for maintenance Location & Isolation Disassembly (access) Removal of faulty item Repair Installation of spare/repair part Reassembly Alignment & Adjustment Checkout or 9
  • 10.
    Exercise : Whatis the MTBF and MTTR? 24.2 hr 10 7.1 hr 27.4 hr 35.3 hr 6.3 hr 46.7 hr 5.0 hr 2.1 hr 7.1 hr 4.2 hr 1.8 hr 3.5 hr 8.3 hr Breakdowns Operation
  • 11.
    Exercise : Whatis the MTBF and MTTR? • Operating time = 152 hours • Repair time = 27 hours • Number of failures = 6 • MTBF = 152/6 = 25.33 hours • MTTR = 27/6 = 4.5 hours 24.2 hr 11 7.1 hr 27.4 hr 35.3 hr 6.3 hr Operation 46.7 hr 5.0 hr Breakdowns 2.1 hr 7.1 hr 4.2 hr 1.8 hr 3.5 hr 8.3 hr