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