Introduction to Operations Research
- 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

Linear Programming: Graphical Methods
- Solution of LPP
  - Graphical Method

Simplex Methods , Maximization Problems, Minimization Problems and Problems involving Artificial Variables
- Solution of LPP
  - Simplex Method

Concepts of Duality, Sensitivity Analysis
- Linear Programming Problems
  - Primal- Dual Problems
  - Concept of Sensitivity Analysis
  - Concept of Integer Programming

Transportation Problem, Transportation Algorithms, North West Corner Method (NWCM), Least Cost Method (LCM), Vogels Approximation Method ( VAM), MODI Method, Degeneracy in Transportation Problem
- 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
- Network Model
  - Network Analysis
  - Introduction
  - Definitions

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

Network Analysis
- Network Model
- Network Analysis
  - Introduction
  - Definitions

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

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

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

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