Stress-Strength Interference

This example validates the stress-strength interference results in Weibull++.

Reference Case

The data set is from Example 5.3 on page 129 in the book Practical Reliability Engineering by O’Connor and Kleyner, Wiley, 2012.

Data

The stress (load) is a lognormal distribution with Ln-Mean = 1.12 and Ln-Std = 0.243. The strength is a 3-parameter Weibull distribution with Beta = 1.69, Eta = 6.67, and Gamma = 3.2.

Result

The book used simulation to get the result. The probability of failure is 1.2%.

Results in Weibull++

In Weibull++, the probability of failure is 1.188%, as shown below.