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IIT Madras via NPTEL

Introduction to Operations Research

Overview

Management course by Prof. G. Srinivasan.

Syllabus 8

  1. Week 1 : Linear Programming – Introduction and formulations
    • Lec 1: Product Mix problem and Notations
    • Lec 2: Manpower and Production planning formulations
    • Lec 3: Media selection problem and Bicycle problem
    • Lec 4: Caterer problem
    • Lec 5: Maximum flow and bin packing problems
  2. Week 2 : Graphical and Algebraic methods
    • Lec 1: Graphical method (maximization)
    • Lec 2: Graphical method (minimization)
    • Lec 3: Algebraic method (maximization)
    • Lec 4: Algebraic method (minimization)
    • Lec 5: Comparing graphical and algebraic methods
  3. Week 3 : Simplex Algorithm
    • Lec 1: Algebraic form of simplex algorithm
    • Lec 2 : Tabular form of simplex (maximization)
    • Lec 3 : Tabular form (minimization)
    • Lec 4 : Unboundedness
    • Lec 5 : Infeasibility
  4. Week 4 : Dual
    • Lec 1 : Motivation to the dual
    • Lec 2 : Writing the dual for a general LP
    • Lec 3 : Writing dual for a general LP (continued)
    • Lec 4 : Duality theorems
    • Lec 5 : Complimentary slackness theorem
  5. Week 5 : Primal dual relationships
    • Lec 1 : Dual solution using complimentary slackness
    • Lec 2 : Dual solution from simplex table; economic interpretation of dual
    • Lec 3 : Economic Interpretation of the dual; Dual Simplex algorithm
    • Lec 4 : Solving LPs with mixed type of constraints
    • Lec 5 : Matrix method for LP problems
  6. Week 6 : Transportation problem
    • Lec 1 : Introducing the transportation problem
    • Lec 2 : North West corner Rule and minimum cost method
    • Lec 3 : Penalty cost method
    • Lec 4 : Stepping stone method and Modified Distribution method
    • Lec 5 : MODI method; Dual of the transportation problem and the optimality of the MODI method
  7. Week 7 : Assignment Problem
    • Lec 1 : Setting up the problem and solving simple LP problems
    • Lec 2 : Unboundedness and infeasibility
    • Lec 3 : Solving other formulations
    • Lec 4 : Solving a transportation problem
    • Lec 5 : Solving an assignment problem
  8. Live Session
    • Live Session 24-03-2021

Advantages and disadvantages

Advantages

  • Taught by IIT and IISc professors, and it follows the Indian university syllabus closely.
  • All videos and assignments are free on NPTEL and SWAYAM.
  • The certificate is recognised by many Indian universities for credit transfer and by GATE aspirants.
  • Great for GATE and semester exam preparation.
  • Taught by Indian Institute of Technology Madras, one of the strongest names in its field.
  • Completely free.
  • Self-paced: start any time.
  • A clear syllabus (8 parts) you can see before you start.

Disadvantages

  • The certificate needs a proctored exam at a centre, which has a fee.
  • Recorded classroom lectures: thorough, but slower than made-for-online courses.
  • New runs start on fixed dates (January and July).
  • Learning is free, but the certificate costs money.

Some points apply to every course of this kind; see how we rank.

Free to learn

  • Free: Every video and assignment is free on NPTEL and SWAYAM. Enrol when the next run opens.
  • Certificate: Optional. It needs a proctored exam at a centre, which has a fee.

Taught by

  • Prof. G. SrinivasanIIT Madras

Indian Institute of Technology Madras is in Tier 1: world-leading universities and India's top institutes of our institution ranking (96/100). Runs NPTEL and the online BS in Data Science.

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