Outline Heuristics Background in Statistical Mechanics -Atom Configuration Problem Metropolis Algorithm Simulated Annealing algorithm Sample Problems and Applications · Summary

Alternatives to Weighted Sum(WS)Approach Multiobjective Heuristic Programming Utility Function Optimization Physical Programming(Prof. Messac) Application to Space System Optimization Lab Preview(Friday 4-9-2003-Section 1) Massachusetts Institute of Technology-prof. de Weck and Prof. Willcox Engineering Systems Division and Dept of Aeronautics and Astronautics

Why multiobjective optimization? Example-twin peaks optimization History of multiobjective optimization Weighted Sum Approach(Convex Combination) Dominance and Pareto-Optimality Pareto Front Computation -nBl o Massachusetts Institute of Technology-Prof de Weck and Prof Willcox Engineering Systems Division and Dept of Aeronautics and Astronautics

Packaging Geometric measures to check requirements Occupant model Inputs Shoulder room, knee room etc Roominess measure GM RD Trunk∨oume

Massachusetts Institute of Technology-Prof. de Weck and Prof. Willcox Massachusetts Insfitute of Technology-Prof. de Weck and P Dept. of A Mlesd Why Approximation Methods? 0. Mlesd Approximation Methods

I. Structural Optimization ll. Integrated Structural Optimization lll. Design Space Optimization Massachusetts Institute of Technology-Dr. Yong Kim

Computer technologies have been changing the environment of engineering design-enabling MDO Hardware: Advances in processor speed, memory and storage Software: Powerful disciplinary analysis and simulation programs(e.g. Nastran, Fluent...)

When is a flow compressible? compressible flow differs from an incompressible one in that significant change happens in the density

Boundary layer(边界层) Although frictional effects in slightly viscous fluid are indeed present, they are confined to a thin layer near the surface of the body, and the rest of the flow can be considered inviscid. (1904, Prandt/)

Properties of Pressure Vertical to the surface and point into it. At any point, pressure is independent of orientation