Esame Simulation

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Name:___________________ I.D.: __________________ Exam Simulation (1) (15/06/2020) Note: 1. Make sure to write your name and I.D. Number 2. The exam consists of 2 problems 3. Exam time is 40 minutes (20 minutes for Mobility Engineerig) Good Luck! Problem 1. (20 minutes) [both courses Mobility Engineering and Reliability Engineering] (15 points) Consider the following structure of a simple system where input signal is processing via any path and is output. A Input C E B D F Output Each component has a constant failure rate 𝝀 = 𝟐 ∙ 𝟏𝟎 −𝟓 h-1. Please answer the following questions: 1. Build the Fault Tree corresponding to the top event: ‘no connection between Input and Output’. (6) 2. Find the minimal cut sets (6) 3. Estimate the reliability of system at t=1000h (3) Problem 2. [Only for Reliability Engineering] (15 points) In order to estimate a product’s reliability, 10 independent life experiments are made. The lives of these 10 products are: 997h, 945h, 1039h, 1001h, 998h, 1022h, 999h, 959h, 1027h, 992h. 1. If the life of the product obeys the exponential distribution, please compute an estimate of the product failure rate by: a) The method of moments (5) b) The maximum likelihood (5) 2. Compute the reliability of the product at 500h and at 1000h; (5) Name:___________________ I.D.: __________________ 3. Compute the product hazard rate and MTTF; Exam Simulation (2) (15/06/2020) Note: 4. Make sure to write your name and I.D. Number 5. The exam consists of 2 problems 6. Exam time is 40 minutes (20 minutes for Mobility Engineerig) Good Luck! Problem 1. (20 minutes) [both courses Mobility Engineering and Reliability Engineering] (15 points) Consider a hot standby system. The main component passes through “safe” and “failed with a failure rate λ=10-3h-1, whereas the standby…