Download Homework 3:

SMRE
Homework 3
Simulation Modeling I
1
Consider a 2-out-of-3 system of independent and identical components with constant failure
rate λ = 1.
Use the inverse transform random variate generation technique together with the Monte
Carlo simulation method to determine values of the reliability of the system as a function of
time and compare against the exact solution.
Do the problem using first the RAND() function in Excel then using the RAPTOR code
and compare your results.
2
Use the inverse transform random variate generation technique together withthe Monte Carlo
simulation method to determine the reliability in a system consisting of three components,
1,2,3 with Weibull failure probability distribution functions given as follows:
F1 = 1 − exp(−t0.5 )
F2 = 1 − exp(−t)
F3 = 1 − exp(−t5 )
a.- Investigate for 0 < t < 2 the case when the components are connected in series.
b.- Investigate for 0 < t < 10 the case when the components are connected in parallel.
Do the problem using first the RAND() function in Excel then using the RAPTOR code
and compare your results.
1