COURSE SUMMARY
Course Title: 
Optimization Techniques
Course Code: 
15MAT303
Year Taught: 
2015
2016
2017
2018
Semester: 
6
Degree: 
Undergraduate (UG)
School: 
School of Engineering
Campus: 
Bengaluru
Coimbatore
Amritapuri

'Optimization Techniques' is a course offered in the sixth semester of B. Tech. in Electrical and Electronics Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

Unit 1

Introduction
Optimization - optimal problem formulation, engineering optimization problems, optimization algorithms, numerical search for optimal solution.

Unit 2

Single Variable optimization
Optimality criteria, bracketing methods - exhaustive search method, bounding phase method - region elimination methods - interval halving, Fibonacci search, golden section search, point estimation method - successive quadratic search, gradient based methods.

Unit 3

Multivariable Optimization
Optimality criteria, unconstrained optimization - solution by direct substitution, unidirectional search – direct search methods evolutionary search method, simplex search method, Hook-Jeeves pattern search method, gradient based methods – steepest descent, Cauchy’s steepest descent method, Newton’s method, conjugate gradient method - constrained optimization. Kuhn-Tucker conditions.

  • S. S. Rao, “Optimization Theory and Applications”, Second Edition, New Age International (P) Limited Publishers, 1995.
  • Kalyanmoy Deb, “Optimization for Engineering Design Algorithms and Examples”, Prentice Hall of India, New Delhi, 2004.
  • Edwin K. P. Chong and Stanislaw H. Zak, “An Introduction to Optimization”, Second Edition, Wiley-Interscience Series in Discrete Mathematics and Optimization, 2004.
  • M. Asghar Bhatti, “Practical Optimization Methods: with Mathematics Applications”, Springer Verlag Publishers, 2000.