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System-of-Systems Engineering - Liophant Simulation

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Pareto Optimal Solutions in Many Dimensions• The use <strong>of</strong> GeneticAlgorithms to find ParetoFrontiers has become astandard means for multiobjectiveoptimization• When extended into multipleresponses, the concept tendsto break down as allsolutionsappear Pareto Optimal• Methods are needed to slicethe design space andvisualizemultidimensional trade<strong>of</strong>fsResponse 3Pareto FrontResponse 2MachResponse 154321Turb<strong>of</strong>an0 1000 2000 3000 4000SpThrustSpecific ThrustResponse 3RamjetTurbojetMach54321Turb<strong>of</strong>an1 2SFCThrust Specific Fuel Consumption (TSFC)Response 2RamjetTurbojetOn a 2-D plot, thePareto front maynot be easilyapparent for asystem with morethan 2 responses.Visualizing Multi-Dimensional Optimality is Difficult for Human Decision MakersDeveloping Methods and Techniques for <strong>System</strong> <strong>of</strong> <strong>System</strong>s <strong>Engineering</strong>Dr. Dimitri Mavris, dimitri.mavris@ae.gatech.edu51

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