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This lecture covers the introduction to numerical simulation methods and tools, focusing on digital simulation and the origin of object-oriented simulators. It explains the variables, parameters, and functions involved, as well as the law of generation and simultaneous operations. The presentation includes examples such as traffic management, stacker crane sizing, and mechanized parking simulations. The instructor demonstrates the application of simulation in various scenarios, from industrial site traffic management to emergency department operations, emphasizing the importance of probabilistic approaches and risk analysis.