• Introduction to Operations Research: Scope, Phase Merits and Limitations, Concept of Optimization
• Operations research
• Introduction and definitions
• Basic Terms
• Phases of OR
• Linear Programming- Introduction and Definitions

• Linear Programming and Applications
• Linear Programming Problems
• Introduction
• Formulation of LPP

• Solution of LPP- Graphical Method
• Solution of LPP
• Graphical Method

• Solution of LPP- Simplex Method
• Solution of LPP
• Simplex Method

• Dual Problem and its Properties, Dual Simplex Method, Sensitivity Analysis, Integer Programming
• Linear Programming Problems
• Primal- Dual Problems
• Concept of Sensitivity Analysis
• Concept of Integer Programming

• Transportation Problem by Vogel’s Approximation Method with MODI Optimality Test
• Transportation problem
• Introduction
• Mathematical Formulation
• Methods to Find Initial Solution
• North West Corner Method
• Minimum Cost Method
• VAM
• Optimum Solution
• MODI method

• Assignment Problem, Solution Methods of Assignment Problem
• Assignment Problem
• Introduction
• Mathematical Formulation
• Solution
• Hungarian Method

• Travelling Salesman Problem, Transhipment Problem
• Degeneracy in Transportation Problem
• Transhipment Problem

• Network Analysis Drawing of arrow diagram
• Network Model
• Network Analysis
• Introduction
• Definitions

• Critical Path Method: Calculation of Critical Path Duration, Total, Free and Independent Floats
• Network Model
• Critical Path Method
• Forward Pass and Backward Pass
• Critical Path, Critical Activities

• PERT
• Network Model
• PERT (Project Evaluation and Review Technique)

• Decision Under Risk. Expected Money Value Criterion, Decision Trees, Decision Under Uncertainty, Minimax Criterion
• Decision Theory
• Decision Analysis Concept
• Types of Decision Making Environment
• Decision Making Under  Uncertainty
• Maxmin, Minmax, Maximax, Laplace and Hurvitz Alpha Criterion
• Decision Making Under Risk
• EOL, EMV and EVPI Criterion
• Decision Trees

• Theory of Games
• Theory of Games
• Introduction
• Definitions
• Payoff, Zero sum Game, Maxmin and Minmax  Criteria, Saddlepoint etc.
• Solving Games
• Algebraic Method, Graphical Method and Dominance Method

• Queing Theory – M/M/1/FIFO/oc Model
• Queing Theory (Waiting Line Models)
• Queing Theory Introduction
• Components of Queing Model
• M/M/1: INF/FCFS Queing Model
• Problems

• Simulation : Monte Carlo Method
• Simulation
• Simulation – Introduction and Definitions
• Types of  Simulations
• Monte Carlo Simulation
• Simulation Problems