Monte Carlo Simulation Method

The Monte Carlo simulation method is employed when individual component reliability metrics are known, but system reliability is too complex for precise mathematical modeling. This stochastic simulation approach approximates system reliability predictions through iterative random sampling. Prediction accuracy improves with increasing simulation iterations. Due to computational intensity, computer implementation is essential. This document applies the method to hospital queueing theory problems, demonstrating how to model patient flow and optimize waiting times through probabilistic event simulation.