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, Sensitvity 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

CPM, Time Estimation, Critical Path
- 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

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