• 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