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- Politecnico di Milano
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- Energy Engineering
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- RELIABILITY, SAFETY AND RISK ANALYSIS C
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TEXT exercises on Monte Carlo Method AY 2023 2024
Topic-based study materials for RELIABILITY, SAFETY AND RISK ANALYSIS C in the Energy Engineering degree programme at Politecnico di Milano. The document covers: EXERCISE 2 Consider a continuously monitored component with constant failure (π) and repair (π) rates in the table. Assuming a mission time π = 1000 βππ’ππ , write the MC code for the estimation of: 1. The instantaneous availability 2. The time dependent reliability
RELIABILITY, SAFETY AND RISK ANALYSIS CBy topic
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Topic-based study materials for RELIABILITY, SAFETY AND RISK ANALYSIS C in the Energy Engineering degree programme at Politecnico di Milano. The document covers: EXERCISE 2 Consider a continuously monitored component with constant failure (π) and repair (π) rates in the table. Assuming a mission time π = 1000 βππ’ππ , write the MC code for the estimation of: 1. The instantaneous availability 2. The time dependent reliability
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EXERCISE 2 Consider a continuously monitored component with constant failure (π) and repair (π) rates in the table. Assuming a mission time π = 1000 βππ’ππ , write the MC code for the estimation of: 1. The instantaneous availability 2. The time dependent reliability π=3*10^(-3) h-1 π =25*10^(-3) h-1 EXERCISE 4 Consider the system in figure composed of three components(A, B, C). Each component can be in two different health states (1-nominal, 2-failed) with exponentially distributed transition times (table) between them. Assuming a mission time π = 500 βππ’ππ , write the MC code for the estimation of: βͺ The time dependent reliability βͺ The instantaneous availability. βͺ The estimators uncertainty 1 2 3 Ξ» 1*10^-3 2*10^-2 5*10^-2 m 3*10^-2 5*10^-2 5*10^-3 EXERCISE 1 Consider the Weibull distribution with π½ = 1,5 and π = 1,0 1. Sample N=400 values from ππ π‘ 2. Verify whether the obtained distribution provides a good approximation of the Weibull distribution. To this aim, you are required to: A. find the empirical probability density function (pdf) of the sampled values in 1 B. compare the empirical pdf found in 2A. with the analytical Weibull distribution 3. Provide an estimate πΊπ of 4. Estimate the variance of πΊπ
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