Module |
Topics |
Suggested Completion Date |
Assignment due
(appear by content, NOT chronological) |
01 |
Class Introduction |
21 Aug 2023 |
Assessment 0 29 Aug 2023 |
02 |
Basic Concepts: Definitions, Optimal Design Problem Statement, Iterative Procedure, Solution Existence and Uniqueness, Kuhn-Tucker Conditions |
25 Aug 2023 |
Homework 0
06 Sep 2023 |
03 |
Functions of One Variable - Concepts, Newton's Method, and Quadratic Fit, Golden Section Search, Matlab's fminbnd |
30 Aug 2023 |
Assessment 1
12 Sep 2023 |
04 |
Unconstrained Functions in N Variables:
First-Order Methods - Calculating Derivatives, Steepest Descent, Conjugate Direction, Variable Metric (DFP, BFGS);
Second-Order Methods - Newton's Method, Variable Transformation and Scaling; Convergence Criteria, Matlab's fminunc, Excel Solver Add-in |
11 Sep 2023 |
Assessment 2
19 Sep 2023
Homework 1
27 Sep 2023
|
05 |
Linear and Quadratic Programming:
Simplex Method Excel Solver for LP, Matlab's linprog, Quadratic Programming, Matlab's quadprog
|
18 Sep 2023 |
Assessment 3
03 Oct 2023 |
06 |
Constrained Functions in N Variables - Direct Methods: Introductory Concepts, Sequential Linear Programming (SLP), Method of Centers (MoC), Generalized Reduced Gradient (GRG) , Excel Solver Add-in, Sequential Quadratic Programming (SQP), Matlab's fmincon |
02 Oct 2023 |
Assessment 4
12 Oct 2023
Homework 2
17 Oct 2023 |
07 |
Constrained Functions in N Variables - SUMT: Exterior and Interior Penalty Methods, Comparison of Penalty Methods, Constraint Scaling, Augmented Lagrange Multiplier (ALM) Method |
11 Oct 2023 |
Assessment 5
24 Oct 2023
Homework 3
31 Oct 2023 |
08 |
Non-smooth and Global Optimization:
Nelder-Mead Simplex, Simulated Annealing, Genetic Algorithms |
30 Oct 2023 |
Assessment 6
07 Nov 2023
Homework 4
21 Nov 2023 |
09 |
Multiobjective Design: Pareto Optimality and Dominance, Weighted Sum, Weighted Sum, ε-Constraint (Gaming) Approach, Min-Max Approach, Goal Attainment |
08 Nov 2023 |
Assessment 7
14 Nov 2023
Homework 5
05 Dec 2023 |
10 |
Approximation Techniques I: Basic Concepts, Derivative Based, Response Surface Methods, Least squares for Response Surface Coefficients, Design of Experiments, Global Response Surface Approximation, Sequential Response Surface Approximations |
17 Nov 2023 |
Assessment 8
28 Nov 2023 |
11 |
Multidisciplinary Optimization Introduction:
Decomposition Strategies, Multidisciplinary Feasible and All-at-Once Examples, Collaborative Optimization Example
|
01 Dec 2023 |
|
12 |
Revisiting the AAE 55000 "Toolbox" and Closing Comments |
08 Dec 2023 |
|