Monte Carlo simulation is explained in this PDF article and how it applies to lean Six Sigma in an Integrated Enterprise Excellence (IEE) business management system.
Monte Carlo Simulation Explained with Lean Six Sigma Application
The stereotypical Lean Six Sigma Define-Measure-Analyze-Improve-Control (DMAIC) project has a nice process that produces data at a rapid enough rate that you can evaluate improvements during the project. Techniques for applying lean Six Sigma techniques not only at the project level but the business level as well are in a 5-book IEE book set.
But, what options are available if you do not have this situation and the details for conducting analysis in a lean Six Sigma project or a business?
The white paper PDF article below describes how Monte-Carlo simulations can be a powerful way to estimate future performance without having to actually pilot test or prototype the improvements.