# Relibilty Engineering Problem — Duane Parameters Essay Example

RELIABILITY ENGINEERING PROBLEM- DUANE PARAMETERS

Student No:

Faculty:

Data with 12 failures

1. 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

1. Cumulative and instantaneous MTBF curves

Figure 2: Cumulative MTBF vs Time

Figure 3: instantaneous MTBF vs Time

Figure 4: Cumulative and instantaneous MTBF curves

1. Required time for instantaneous MTBF of 500hours MTBF

1. Required time for cumulative MTBF of 500hours

References