ME6806 Introduction to Engineering Optimization
L-T-P-Cr: 3- 0- 0- 3
Pre-requisite: Basic Intermediate (10+2) level mathematics.
Objectives: To solve the various types of basic optimization problems in engineering.
Outcome: Ability to explore and experience the scopes of applications of optimization techniques in real engineering problems.
Module 1: Introduction to Engineering Optimization. Historical Development of Optimization Techniques. Various areas of applications.
Module 2: Optimal Problem Formulation: Design variables, Constraints, Objective Function, Variable bounds. Engineering Optimization Problems. Optimization Algorithms.
Module 3: Single-variable Optimization Algorithms: Optimality Criteria. Bracketing Methods. Region Elimination Methods. Point-Estimation Method. Gradient-based Methods.
Module 4: Multi-variable Optimization Algorithms: Optimality Criteria. Direct Search Methods. Gradient-based Methods.
Module 5: Constrained Optimization Algorithms: Kuhn-Tucker Conditions. Transformation Methods. Sensitivity Analysis.
Module 6: Integer Programming. Introduction to Non-traditional Optimization Algorithms. Binary and Real-coded Genetic Algorithm..