• Georgia Institute Of Technology

• ISYE 6644

Module 1 –  Model: high-level representations of the operation of a real-world process or system (discrete vs. continuous, stochastic vs. deterministic (no randomness), dynamic vs. static)  Solving a model: 1) Analytical: model using physical/ mathematical equations, 2) Numerical: Model weather (too tough for exact analytical models), and 3) Simulation model: To add randomness Advantages of simulation:  Can study models too complicated for analytical / numerical treatment  Study detailed relations that might be lost in the analytical or numerical treatment  Use as a basis for experimental studies of systems.  Use to check results and give credibility to conclusions obtained by other methods  Reduce design blunders  Really nice demo method  (Sometimes) very easy. Disadvantages:  Sometimes not so easy.  Sometimes very time consuming / costly.  Simulations give “random” output (and lots of misinterpretation of results is possible).  To do a certain problem, better methods than simulation may exist.  Module 2 - Calculus, Probability, and Statistics Review Finding Zeroes Method for complicated non-linear function: Trial/error, bisection, Newton’s method & fixed-poin