ME- 432- E OPTIMIZATION METHODS FOR ENGINEERING SYSTEMS
ME- 432- E OPTIMIZATION METHODS FOR ENGINEERING SYSTEMS
Sessional : 50 Marks
Theory : 100 Marks
Unit I Introduction: Engineering Applications; Statement of the Optimal Problem: Classification; Optimization Techniques.
Unit II Classical Methods: Single Variable Optimization; Multivariable Optimization without any Constraints with Equality and Inequality Constraints.
Unit III One-Dimensional Minimization Methods: Uni-model Function; Elimination Methods – Dichotomous Search, Fibonacce and Golden Section Methods; Interpolation Methods – Quadratic and Cubic Interpolation Methods.
Unit IV Unconstrained Minimization Methods: Univariate, Conjugate Directions, Gradient and Variable Metric Methods.
Unit V Constrained Minimization Methods: Characteristics of a constrained problem; Direct Methods of feasible directions; Indirect Methods of interior and exterior penalty functions.
Unit VI Geometric Programming : Formulation and Solutions of Unconstrained and Constrained geometric programming problems.
Unit VII Dynamic Programming: Concept of Sub-optimization and the principle of optimality; Calculus, Tabular and Computational Methods in Dynamic Programming; An Introduction to Continuous Dynamic Programming.
Unit VIII Integer Programming : Gomory’s Cutting Plane Method for Integer Linear Programming; Formulation & Solution of Integer Polynomial and Non-linear problems.
Text Books :
1. Optimization ( Theory & Applications ) – S.S. Rao, Wiley Eastern Ltd., New Delhi.
2. Optimization Concepts and Applications in Engineering – Ashok D.Belegundu and Tirupathi R Chandrupatla — Pearson Education.
Reference Books :
1. Optimization: Theory and Practice, C.S.G. Beveridge and R.S. Schechter, MGH, New York.
Note : In the semester examination, the examiner will set eight questions, at least one question from each unit. The students will be required to attempt only 5 questions
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