UNIT 1:
Introduction to Optimization:
Engineering application of Optimization – Statement of an Optimization problem - Optimal Problem formulation - Classification of Optimization problem. Optimum design concepts, Definition of Global and Local optima – Optimality criteria - Review of basic calculus concepts – Global optimality

UNIT 2:
Linear programming methods for optimum design:
Review of Linear programming methods for optimum design – Post optimality analysis - Application of LPP models in design and manufacturing.

UNIT 3:
Optimization algorithms for solving unconstrained optimization problems:
Gradient based method: Cauchy’s steepest descent method, Newton’s method, Conjugate gradient method

UNIT 4:
Optimization algorithms for solving constrained optimization problems:
Direct methods – penalty function methods – steepest descent method - Engineering applications of constrained and unconstrained algorithms.

UNIT 5:
Modern methods of Optimization:
Genetic Algorithms - Simulated Annealing - Ant colony optimization - Tabu search – Neural-Network based Optimization – Fuzzy optimization techniques – Applications. Use of Matlab to solve optimization problems.