ME752A |
Optimization Methods in Engineering Design |
Credits: |
3L-0T-0P-1A (10 Credits) |
Objective of the course:
This course will introduce the students to the basic fundamentals of optimization methods that can be used during a design process. Considering the computational aspect of the subject especially in higher dimensions, the course will involve significant amount of computational assignments and a term project in the general area of engineering optimization. To account for the extra effort required in these activities, an extra self-assessment credit has been assigned.
Course content: (Precise syllabus for publication in course bulletin)
Classical optimization methods, unconstrained minimization; Univariate, conjugate direction, gradient and variable metric methods, constrained minimization, Feasible direction and projections. Advanced topics like Integer and Geometric programming, genetic algorithms, simulated annealing techniques.
Lecture-wise breakup (each lecture of 50 minutes/one hour fifteen minutes duration):
|
Sl. No. |
Topic |
Suggested number of lectures |
| 1 | Introduction and overview of optimization problems including the notion of convergence and convexity | 3/2 |
| 2 | Basics of univariate unconstrained minimization | 3/2 |
| 3 | Fundamentals of multivariate optimization including equation solving and least squares probelm | 4/3 |
| 4 | Discussion of professional (applied) methods for multivariate optimization | 4/3 |
| 5 | Basics of constrained optimization | 6/4 |
| 6 | Linear programming problems | 3/2 |
| 7 | Quadratic programming problem | 5/3 |
| 8 | Different family of methods for solving a constrained optimizationb problem | 6/4 |
| 9 | Advanced topics | 6/5 |
| Total number of lectures | 40/28 | |
Suggested text and reference materials:
- Optimization for Engineering Design. K Deb.
- Optimization concepts and applications in engineering, A. D. Belegundu and T. R. Chandrupatla.
- Linear and Nonlinear programming. S. Nash and A. sofer.