13_Data+Collection+and+Empirical+Reliability+Models_Problems.doc

# 13_Data+Collection+and+Empirical+Reliability+Models_Problems.doc

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Chapter 13: Exercise Questions 1. Given the following 10 failure times in hours. Estimate ), ( ), ( ), ( t f t F t R and ) ( t , and compute a 90% confidence interval for the MTTF: 24.5, 18.9, 54.7, 48.2, 20.1, 29.3, 15.4, 33.9, 72.0, 86.1. 2. Seventy compressors are observed at 5-month intervals with the following number of failures: 3, 7, 8, 9, 13, 18, and 12. Estimate ), ( ), ( t f t R and ) ( t , and determine the sample mean time to failure and sample standard deviation. 3. The following failure and censor times (in operating hours) were recorded on 10 turbine vanes: 150, 340+, 560, 800, 1130+, 1720, 2470+, 4210+, 5230, 6890. censoring was a result of failure modes other than fatigue or wearout. Determine the empirical reliability curve. 4. Using the multiply censored data from problem 3 with ) 0 ( i t R representing the reliability immediately following th i failure, compute the empirical reliability function by Kaplan-Meier product limit estimator. 5. Construct a life table for the engines of a fleet of 200 single-engine aircraft having the following annual failures and removals (censors). Removals resulted from aircraft eliminated from the inventory for various reasons other than engine failure.

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• Three '17
• Bouanar Jack

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