• OR and Optimization Models, Linear Programming
  • Operations Research
    • Introduction and definitions
    • Basic terms
    • Phases of OR
    • Linear programming –phases and definitions

 

• Linear Programming – Formulation
  • Linear Programming problems
    • Introduction
    • Formulation of LPP

 

• Linear Programming – Graphical Solution
  • Solution of LPP
  • Graphical Method

 

• Linear Programming – Simplex Method.
  • Solution of LPP
  • Simlpex method

 

• Transportation model – Initial Basic Feasible Solutions, Optimum Solution
  • Transportation problem
  • Introduction
  • Mathematical Formulation
  • Methods to find initial solutionVAM
    • North west corner method
    • Minimum cost method
  • Optimum solution
    • MODI method

 

• Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems
  • Probability
    • Definitions –random experiment, sample space events etc.
    • Statement of Addition theorem and multiplication theorems
    • Problems based on the above theorems
    • Conditional probability

 

• Random Variable and Probability Distribution: Binomial, Poisson, Normal
  • Random Variable & Probability Distributions
    • Discrete and continuous random variable
    • Probability Distributions continuous and discrete
    • Binomial distribution
    • Poisson distribution
    • Normal Distribution
    • Uniform Distribution
    • Problems based on the above

 

• Simulation – Types of simulation, Monte Carlo Simulation, Simulation Problems
  • Simulation
    • Simulation – Introduction and definitions
    • Types of Simulation
    • Monte –Carlo simulation
    • Simulation of problems

 

• Waiting Line Model – Structure of model, M/M/1 for infinite population.
  • Queuing theory (Waiting line models)
    • Queuing Theory –Introduction
    • Components of Queuing model
    • M/M/1: inf/FCFS Queuing model
    • Problems