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

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 2

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

Optimization algorithms for solving constrained optimization problems – direct methods – penalty function methods – steepest descent method – Engineering applications of constrained and unconstrained algorithms.

Unit 3

• Deb K. – ‘Optimization for Engineering Design Algorithms and Examples’ – PHI – 2000
• Arora J. – ‘Introduction to Optimization Design’ – Elsevier Academic Press, New Delhi – 2004
• . Saravanan R. – ‘Manufacturing Optimization through Intelligent Techniques’ – Taylor & Francis (CRC Press) – 2006
• Hardley G. -‘Linear Programming’ – Narosa Book Distributors Private Ltd. – 2002