Weeks Weekly Lecture Topics (Module Titles)
1 Day 1 Introduction to Operations Research and Linear Programming Problems
Day 2 Mathematical Preliminaries
Day 3 Mathematical formulation of LPPs-1
Day 4 Mathematical formulation of LPPs-2
Day 5 Assignment I
2 Day 1 Basic assumptions, applications, advantages and limitations of Linear Programming
Day 2 Some important theorems related to LPP
Day 3 Solution of LPP – Graphical Method
Day 4 Solution of LPP – Graphical Method-II
Day 5 Assignment II
3 Day 1 Simplex method -1
Day 2 Simplex method -2
Day 3 More Problems on Simplex method (Simplex method -3)
Day 4 Simplex method in tableau format-I
Day 5 Assignment III
4 Day 1 Simplex method in tableau format – II
Day 2 Artificial variable techniques – Two phase method.
Day 3 Artificial variable techniques - Big M Method
Day 4 Interactive session
Day 5 Assignment IV
5 Day 1 Artificial Variable Techniques More Problems (Solving more LPPs using two phase and Big M method.)
Day 2 Degeneracy in Simplex Method.
Day 3 Duality in LPP
Day 4 More theorems on Duality
Day 5 Assignment V
6 Day 1 Dual simplex method and Economical Interpretation of Dual
Day 2 Transportation Problem
Day 3 North-West corner rule (Transportation Problem-Initial basic feasible solution)
Day 4 Row minima method, Column Minima method and Least Cost method. (Transportation Problem-Initial basic feasible solution)
Day 5 Assignment VI
7 Day 1 Vogels Approximation method. (Transportation Problem-Initial basic feasible solution)
Day 2 Unbalanced Transportation Problem, Loops in Transportation Table
Day 3 Optimal solution for a Transportation Problem
Day 4 Discussion
Day 5 Assignment VII
8 Day 1 Degeneracy in Transportation Problems
Day 2 Maximization transportation problems and an Introduction to Assignment Problems
Day 3 Solution of Assignment Problem - Hungarian method
Day 4 Unbalanced and Maximization Assignment Problems
Day 5 Assignment VIII
9 Day 1 Game Theory – An Introduction
Day 2 Games with Mixed Strategies
Day 3 Dominance in Games
Day 4 Games Problems – Graphical Method
Day 5 Assignment IX
10 Day 1 Linear Programming Formulation of a Game Problem
Day 2 More Problems on Linear Programming Method of Solving Games
Day 3 Mathematical Formulation of Linear Programming Problems – More examples
Day 4 Interactive session
Day 5 Assignment X
11 Day 1 Graphical Solution of Linear Programming Problems – More examples
Day 2 Solution to Linear Programming Problem by Simplex Method – Special cases
Day 3 Simplex Method – LPP with more than two variables
Day 4
Day 5 Assignment XI
12 Day 1 Additional problems on Two Phase and Big M Method
Day 2 Dual Simplex Method – More Problems
Day 3 Transportation Problem – Initial Basic Feasible Solution-More problems using N-W Corner, Row Minima and Least Cost Methods.
Day 4
Day 5 Assignment XII
13 Day 1 Transportation Problem – Initial Basic Feasible Solution-More problems using Vogel’s Approximation Method
Day 2 Optimal Solution for Transportation Problems- Additional Problems -I
Day 3 Optimal Solution for Transportation Problems- Additional Problems -II
Day 4 Interactive session
Day 5 Assignment XIII
14 Day 1 Assignment Problems
Day 2 Assignment Problems-Additional problems
Day 3 Solving More Game Problems Using Graphical Method
Day 4
Day 5 Assignment XIV
15 Day 1 Linear Programming Formulation of Game Problems –Additional example
Day 2 Interactive session
Day 3 Assignment XV
Day 4
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