• 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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