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Monte Carlo Simulation

Monte Carlo simulation is a quantitative risk analysis technique that uses random sampling of probability distributions for cost and schedule estimates to model possible project outcomes and calculate the probability of achieving targets.

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Explanation

Monte Carlo simulation runs thousands of iterations of a project model, each time randomly selecting values from the probability distributions assigned to uncertain variables (activity durations, costs, etc.). The result is a probability distribution of possible project outcomes rather than a single deterministic estimate.

For schedule analysis, the simulation might show that there is a 50% probability of completing the project by June 30 and an 85% probability of completing by July 15. For cost analysis, it might reveal that a $2 million budget has only a 40% chance of being sufficient, while $2.3 million provides 90% confidence. These insights directly inform contingency reserve calculations.

The simulation requires three-point estimates (optimistic, most likely, pessimistic) or other probability distributions for each uncertain element. The output is typically displayed as an S-curve (cumulative probability distribution) or histogram. It is the most commonly used technique in Perform Quantitative Risk Analysis.

Key Points

  • Runs thousands of iterations using random sampling from probability distributions
  • Produces S-curves showing probability of meeting cost/schedule targets
  • Requires three-point estimates or defined probability distributions
  • Directly informs contingency reserve amounts

Exam Tip

Monte Carlo simulation answers "What is the probability of finishing by date X or within budget Y?" It does not identify individual risks—it models aggregate uncertainty.

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