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:

  1. Optimization for Engineering Design. K Deb.  

  2. Optimization concepts and applications in engineering, A. D. Belegundu and T. R. Chandrupatla.

  3. Linear and Nonlinear programming. S. Nash  and A. sofer.