MIest Module 2: Exploration and 16888 Module 3: Multi-Objective Optimization Algorithms Optimization Isoperform i DOE ( full factorial, orthogonal arrays, one-at-a Iso: find set of performance-invariant solutions time) GP: minimize deviation from target point GA, SA& Gradient-based techniques Domination basic understanding of algorithms weak vs strong, domination matrix, ranking how to choose an algorithm s Pareto Front Computation reasons for algorithm failure concave versus convex, jumps, multiple optimality criteria dimensions implementation of several algorithms s MO Algorithms Sensitivity Analysis weighted-sum-approach, NBI Jacobian and Hessian, scaling compromise programming physical programming finite difference approximation multiobjective heuristics: SA, GA utility theory Massachusetts Institute of Technology-Prof de Weck and Prof Wacox sachusetts institute of Technology. Prof. de Weck and Prof. willcox MIEsa Module 4: Implementation Issues, 503 Mlet Class Projects-Applications(2004)50 Applications Aircraft Systems Design Silent Aircraft Design(air ation methods Environmental Design Space Shuttle Fuel Tank Space(Barter, Jonker, Kit Hsieh, Hynes, Lawson, response surtace methodology Axial Compressor Desig i Design for Value cost models elicopter Platform(Freuler, Mark, Toupet) MSDO Siddiqi) SPHERES(lshutkina, Nolet) market/revenue models Orbit Transfe Space Station e Robust Design robustness Ground Infrastructure eliability probabilistic methods Applications hip Design(Boaz, Structural Optimization(Nadir Visualization Dickmann, Woll) Radio Telescope Array s Computational Strategies Hydrofoil Ship Design (Chatzakis) Massachusetts Institute of Technology -. de Weck and Prof Wilcox Massachusetts Institute of Techmology.Prof de Weck and Prof Willcox13 Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Module 2: Exploration and Module 2: Exploration and Optimization Algorithms Optimization Algorithms ¾ DOE (full factorial, orthogonal arrays, one-at-a￾time) ¾ GA, SA & Gradient-based techniques: • basic understanding of algorithms • how to choose an algorithm • reasons for algorithm failure • optimality criteria • implementation of several algorithms ¾ Sensitivity Analysis Œ Jacobian and Hessian, scaling Œ finite difference approximation 14 Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Module 3: Multi Module 3: Multi-Objective Objective Optimization Optimization ¾ Isoperformance and Goal Programming • Iso: find set of performance-invariant solutions • GP: minimize deviation from target point ¾ Domination Œ weak vs strong, domination matrix, ranking ¾ Pareto Front Computation Œ concave versus convex, jumps, multiple dimensions ¾ MO Algorithms Œ weighted-sum-approach, NBI Œ compromise programming, physical programming Œ multiobjective heuristics: SA , GA Œ utility theory 15 Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Module 4: Implementation Issues, Module 4: Implementation Issues, Applications Applications ¾ Approximation Methods • reduced-basis methods • response surface methodology ¾ Design for Value • cost models • market/revenue models ¾ Robust Design • robustness • reliability • probabilistic methods ¾ Visualization ¾ Computational Strategies 16 Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Class Projects Class Projects – Applications (2004) Applications (2004) Aircraft Systems Design Spacecraft and Constellation Design Marine Applications Ground Infrastructure and Vehicles (air) (water) (land) (space) MSDO - Space Shuttle Fuel Tank (Hsieh, Hynes, Lawson, Posner, Usan) - Communication Satellite Constellations (Mellein, Siddiqi) - SPHERES (Ishutkina, Nolet) - Orbit Transfer (Taylor) - Space Station Utilization (Saenz Otero) - Structural Optimization (Nadir) - Radio Telescope Array (Bounova) - Silent Aircraft Design (Diedrich, Tan) - Environmental Design Space (Barter, Jonker, King) - Supersonic Jet (Robinson) - Axial Compressor Design (Castiella) - Helicopter Platform (Freuler, Mark, Toupet) - Ship Design (Boaz, Dickmann, Wolf) - Hydrofoil Ship Design (Chatzakis)