Two designs for a critical component are being investigated. During prototype testing, it was found that...
Two designs for a critical component are being investigated. During prototype testing, it was found that the time to failure is Weibull distributed with a minimum life of zero. Design A has Weibull parameters of β=2 and η=100 Design B has Weibull parameters of β=3 and η=100 hours.
The component has a 10-hour guaranteed life. Assuming both component cost about the same. Which design should the manufacturer produce and why?
Homework Answers
The Beta parameter is greater than 1 in both the cases. This means that the failure rate increases with time in both the cases. Also we have the same eta parameter for both the designs thus it will not affect our judgement
If beta > 1, higher the beta, higher is the failure rate with passing time. Hence we will pick the design with a lower Beta value, i.e. Design A
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