3.16 Simulations

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1. Exam Points

  • Benefits/advantages of simulations. (less or no real-world limitations).
  • Limitations of simulations. (some details omitted or functionality simplified).
  • Choose the scenarios to use simulations.(real experiments impractical)
  • Choose the scenarios not to use simulations. (need real data)

2. Knowledge Points

(1) Simulations

  • Simulations are abstractions of more complex objects or phenomena for a specific purpose.
  • A simulation is a representation that uses varying sets of values to reflect the changing state of a phenomenon.
  • Simulations often mimic real-world events with the purpose of drawing inferences, allowing investigation of a phenomenon without the constraints of the real world.
  • The process of developing an abstract simulation involves removing specific details or simplifying functionality.
  • Generally, a simulation based on a less detailed model will require less time to run.
  • Simulations can contain bias derived from the choices of real-world elements that were included or excluded.
  • Simulations are most useful when real-world events are impractical for experiments (e.g., too big, too small, too fast, too slow, too expensive, or too dangerous).
  • A simulation is unlikely to be appropriate if continuous real-world data is needed.
  • Random number generators can be used to simulate the variability that exists in the real world.

(2) Note

  • Draw facts from existing data. (simulations not appropriate).
  • Impractical scenarios/events. (simulations necessary).

3. Exercises