Uncertainty, Design, and Optimization

Catalog description

Principles of design as a creative and iterative process involving problem statements, incomplete information, conservative assumptions, constraining regulations, and uncertain operating environments. Parameterization of costs and constraints and formulation of constrained optimization problems. Analytical and numerical solutions to constrained optimization problems. Axioms of probability, probability distributions, and Monte Carlo simulation. Evaluation of design solutions via sensitivity and risk analysis. Application to design problems in structural, environmental, and electrical engineering.