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Solving Optimization Problems with MATLAB

1 2018 The MathWorks, Optimization Problems with MATLAB2 Introduction Least-squares minimization Nonlinear Optimization Mixed-integer programming Global optimizationTopics3 Optimization ProblemsMinimize RiskMaximize ProfitsMaximize Fuel Efficiency4 Design ProcessInitial Design VariablesSystemModify Design VariablesOptimal DesignObjectivesmet?NoYes5 Manually (trial-and-error or iteratively)Why use Optimization ?Initial Guess6 Automatically (using optimizationtechniques)Initial GuessWhy use Optimization ?7 Why use Optimization ? Finding better (optimal) designs and decisions Faster design and decision evaluations Automate routine decisions Useful for trade-off analysis Non-intuitive designs may be foundAntenna Design Using Genetic Introduction Least-squares minimization Nonlinear Optimization Mixed-integer programming Global optimizationTopics9 Curve Fitting DemoGiven some data:Fit a curve of the form:teccty 21)(t = [0.]

18 Optimize Gift Card Spending Problem: Given gift cards to different stores and a shopping list of desired purchases, decide how to spend the gift cards to use as much of the gift card money as possible. Constraints: You cannot overspend the gift card. You can purchase one of any item, and must purchase one of a specific item.

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