Media Storage Type : DVD-ROM
NPTEL Course Name : Optimization Methods
NPTEL Subject Matter Expert : Dr. D. Nagesh Kumar
NPTEL Co-ordinating Institute : IISc Bangalore
NPTEL Lecture Count : 37
Lecture Titles:
Lecture 1 - Historical Development and Model Building
Lecture 2 - Optimization Problem and Model Formulation
Lecture 3 - Classification of Optimization Problems
Lecture 4 - Classical and Advanced Techniques for Optimization
Lecture 5 - Stationary points: Functions of Single and Two Variables
Lecture 6 - Convexity and Concavity of Functions of One and Two Variables
Lecture 7 - Optimization of Functions of Multiple Variables: Unconstrained Optimization
Lecture 8 - Optimization of Functions of Multiple Variables subject to Equality Constraints
Lecture 9 - Kuhn-Tucker Conditions
Lecture 10 - Preliminaries
Lecture 11 - Graphical Method
Lecture 12 - Simplex Method-I
Lecture 13 - Simplex Method-II
Lecture 14 - Revised Simplex Method, Duality and Sensitivity analysis
Lecture 15 - Other Algorithms for Solving Linear Programming Problems
Lecture 16 - Use of software for solving linear programming problems
Lecture 17 - Transportation Problem
Lecture 18 - Assignment Problem
Lecture 19 - Structural and Water Resources Problems
Lecture 20 - Introduction
Lecture 21 - Recursive Equations
Lecture 22 - Computational Procedure in Dynamic Programming
Lecture 23 - Other Topics
Lecture 24 - Design of Continuous Beam
Lecture 25 - Optimum Geometric Layout of Truss
Lecture 26 - Water Allocation as a Sequential Process ? Recursive Equations
Lecture 27 - Water Allocation as a Sequential Process ? Numerical Example
Lecture 28 - Capacity Expansion
Lecture 29 - Integer Linear Programming
Lecture 30 - Mixed Integer Programming
Lecture 31 - Integer Programming - Examples
Lecture 32 - Piecewise Linear Approximation of a Nonlinear Function
Lecture 33 - Multi-objective Optimization
Lecture 34 - Multilevel Optimization
Lecture 35 - Direct and Indirect Search Methods
Lecture 36 - Evolutionary Algorithms for Optimization and Search
Lecture 37 - Applications in Civil Engineering