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Lecture Notes on Operational Research topics

Hello Students

In upcoming blog posts I will be blogging more on Operational Research topics. Major ones are:

  1. Linear Programming, Applications Areas of Linear Programming, General Mathematical Model of Linear Programming Model, Guidelines on Linear Programming Model Formulation, Examples of LP Model Formulation.


  2. Linear Programming- The Graphical Method: Introduction, Important Definitions, Graphical Solution Methods of LP Problem.
    Linear Programming- The Simplex Method: Introduction, Standard Form of an LP Problem, Simplex Algorithm (Maximization Case), Simplex Algorithm (Minimization Case).
    Duality in Linear Programming: Introduction, Formulation of Dual Linear Programming Problem, Standard Results on Duality, Managerial Significance of Duality, Advantages of Duality.


  3. Integer Linear Programming: Introduction, Types of Integer Programming Problems, Enumeration and Cutting Plane Solution Concept, Gomory’s All Integer Cutting Plane Method, Gomory’s Mixed- Integer Cutting Plane Method, Branch and Bound Method, Applications of Zero-One Integer Programming.

  4. Transportation Problem: Introduction, Mathematical Model of Transportation Problem, The Transportation Algorithm, Methods for Finding Initial Solution.
    Assignment Problem: Introduction, Mathematical Model of Statement Assignment Problem, Solution Methods of Assignment Problem.


  5. Project Management-PERT and CPM: Introduction, Basic Differences between PERT and CPM, Phases of Project Management, PERT/CPM Network Components and Precedence Relationships, Critical Path Analysis.

  6. Queuing Theory: Introduction, Essential Features of a Queuing System, Performance Measures of a Queuing System, Probability Distributions in Queuing Systems, Classification of Queuing Models, Single- Server Queuing Models, Multi-Server Queuing Models.
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