• Measures of Central Tendency – Mean, Median, Mode
  • Descriptive statistics
  • Measures of Central Tendency
    • Mean
    • Median
    • Mode
  • Advantages and disadvantages of– Mean, Median, Mode

• OR and Optimization Models
• 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 solution
    • North west corner method
    • Minimum cost method
  • VAM
  • Optimum solution
    • MODI method

• Degeneracy Model, Trans-shipment Model, Travelling Salesmen Problem.
  • Degeneracy in transportation problem
  • Transhipment problems

• Assignment Model
• Assignment problem
  • Introduction
  • Mathematical Formulation
  • Solution
    • Hungarian method

• Network Model, Networking
• Network Model
  • Network Analysis
  • Introduction
  • Dentitions

• CPM – Critical Path, Time Estimates
  • Network model
  • Critical path method
  • Forward pass and backward pass
  • Critical path, critical Activities

• Crashing
  • Network model
  • Crashing of project network

• PERT
  • Network model
  • PERT(Project Evaluation and Review Technique)

• 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

• 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

• Game Theory-Zero Sum Games: Arithmetic and Graphical Method
• Theory of games-Introduction
  • Definitions-Pay off, Zero sum Game, Maximin, minimax criteria, saddle point etc.
  • Solving games-Graphical method, algebraic method and Dominance method

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

• Decision Theory
• Decision Theory
  • Decision analysis concept
  • Types of decision making environment
  • Decision making under certainty
  • Decision making under un uncertainty
  • Maximin, minimax, maximax, Laplace and Hurwitz alpha criterion
  • Decision making under risk –EOL,EMV and EVPI criteria
  • Decision trees

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