Transcription of Solving Optimization Problems with MATLAB
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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.]
Apply pattern vector, poll new points for improvement x y 3 Mesh size = 1 Pattern vectors = [1,0], [0,1], [-1,0], [0,-1] Pnew mesh_ size* pattern_ vector x 0 1*[1,0] x 0 1.6 0.4 4.6 2.8 First poll successful Complete Poll (not default)
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