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Relibilty Engineering Problem — Duane Parameters Essay Example
- Category:Engineering and Construction
- Document type:Math Problem
- Level:Masters
- Page:1
- Words:152
RELIABILITY ENGINEERING PROBLEM- DUANE PARAMETERS
Student No:
Faculty:
Data with 12 failures
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Reliability growth
Given that is time for failures and
the number of failures, then
Mean time between failures () is given as
Therefore making the equation algebraic:
Setting
Then,
Equating to the expected value,
Assuming a constant failure intensity, the cumulative intensity
Then,
Therefore, the total expected failures at
Duane reliability,
Where T = test time
Time at beginning of monitoring period
Cumulative MTBF at start of monitoring period
= growth rate
= instantaneous MTBF
Cumulative failure rate is expressed as
= initial failure rate
)
, the test time
= growth rate = 0.4701
Figure 1: Estimated Duane parameters
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Cumulative and instantaneous MTBF curves
Figure 2: Cumulative MTBF vs Time
Figure 3: instantaneous MTBF vs Time
Figure 4: Cumulative and instantaneous MTBF curves
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Required time for instantaneous MTBF of 500hours MTBF
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Required time for cumulative MTBF of 500hours
References