Course Details
Subject {L-T-P / C} : ME6232 : Optimization Method in Engineering Design { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Saroj Kumar Patel
Syllabus
Optimization problem formulation: Design variables, constraints, objective function and variable bounds, classification of optimization problems.
Single Variable Optimization Algorithm: Bracketing methods (Exhaustive Search Method and Bounding Phase Method) Region Elimination Methods (Fibonacci Search method and Golden Section search method) Gradient based methods (Newton-Raphson method, Bisection Method, Secant Method).
Multivariable Optimization Algorithms: Direct search methods (Hooke- Jeeves pattern search method), Gradient based methods (Cauchy's steepest descent method, Newton’s method, Marquardt’s method).
Constrained Optimization Algorithms: Kuhn-Tucker conditions, Penalty function method, Method of multipliers, Cutting plane method, Generalized Reduced Gradient method, Integer programming
Nature Inspired Algorithms: global optima, genetic algorithm, simulated annealing
Course Objectives
- This course deals with various numerical methods used for single objective optimization problems. Such methods have application in finding solution to many engineering problems. It covers all the traditional methods for searching local optima and a few non-traditional methods for finding global optima.
Course Outcomes
He will be able to solve all types of single objective optimization problems
Essential Reading
- Deb, Kalyanmoy, Optimization for Engineering Design : Algorithms and Examples, PHI
- Rao, SS, Engineering Optimization : Theory and Practice, New Age International
Supplementary Reading
- Arora, Jasbir S, Introduction to Optimum Design, Academic Press
- Alam, SN Islam, S and Patel, SK, Advanced Guide to MATLAB: Practical Examples in Science and Engineering, IK International