NPTEL : NOC:Selected Topics in Decision Modeling (Management)

Co-ordinators : Prof. Biswajit Mahanty


Lecture 1 - Dynamic Programming: Introduction

Lecture 2 - Stagecoach Problem

Lecture 3 - An Investment Problem

Lecture 4 - An Investment Problem (Continued...)

Lecture 5 - Further Examples

Lecture 6 - Machine Allocation and Cargo Loading Problem

Lecture 7 - Knapsack Problem

Lecture 8 - Probabilistic Dynamic Programming

Lecture 9 - Probabilistic Dynamic Programming (Continued...)

Lecture 10 - Dijkstra's Algorithm

Lecture 11 - Integer Programming: Introduction

Lecture 12 - Integer Programming: Formulation

Lecture 13 - Integer Programming: Formulation (Continued...)

Lecture 14 - Integer Linear Programming

Lecture 15 - Cutting Plane Method

Lecture 16 - Exhaustive Enumeration and Branch and Bound Techniques

Lecture 17 - Branch and Bound Technique

Lecture 18 - Assignment and Travelling Salesman Problem

Lecture 19 - Travelling Salesman Problem (Continued...)

Lecture 20 - Heuristic Methods for Integer Programming

Lecture 21 - Non-Linear Programming: Introduction

Lecture 22 - Single-Variable Unconstrained Optimization

Lecture 23 - Multi-variable Unconstrained NLP

Lecture 24 - Solving Unconstrained NLP

Lecture 25 - Numerical Methods for Unconstrained NLP

Lecture 26 - Constrained NLP: Lagrange Multipliers

Lecture 27 - Constrained NLP: KKT Conditions

Lecture 28 - Constrained NLP: KKT Conditions (Continued...)

Lecture 29 - Quadratic Programming

Lecture 30 - Example problems on Constrained NLP

Lecture 31 - Introduction to Metaheuristics

Lecture 32 - Genetic Algorithms

Lecture 33 - Genetic Algorithm Process

Lecture 34 - Genetic Algorithm Process (Continued...)

Lecture 35 - Genetic Algorithm Examples

Lecture 36 - Simulated Annealing

Lecture 37 - Tabu Search

Lecture 38 - Particle Swarm Optimization

Lecture 39 - Multi-Objective Optimization

Lecture 40 - NSGA-II Examples