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

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)

Basic concepts of crashing
- Network model
- Crashing of project network

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 Decision Trees
- EOL, EMV and EVPI Criterion

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

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

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