Introduction to Operations Research

Duration:8 weeks

Srinivasan G

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What you will learn

  • Management

  • EEE

Operations Research (OR) is a discipline that helps to make better decisions in complex scenarios by the application of a set of advanced analytical methods. It couples theories, results and theorems of mathematics, statistics and probability with its own theories and algorithms for problem solving. Applications of OR techniques spread over various fields in engineering, management and public systems.This course introduces the students to the following topics Linear Programming,Transportation problems Assignment problems.Advanced topics on duality.At the end of this course students will be able to understand, formulate linear programming problems and applications.

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Graphical method (maximization)
Preview 20:01
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Graphical method (minimization)
Preview 20:09
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Algebraic method (maximization)
Preview 23:15
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Algebraic method (minimization)
Preview 19:31
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Comparing graphical and algebraic methods
Preview 19:14

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Algebraic form of simplex algorithm
Preview 20:08
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Tabular form of simplex (maximization)
Preview 24:13
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Tabular form (minimization)
Preview 26:34
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Unboundedness
Preview 28:10
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Infeasibility
Preview 25:25

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Motivation to the dual
Preview 20:57
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Writing the dual for a general LP
Preview 25:17
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Writing dual for a general LP (continued)
Preview 22:55
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Duality theorems
Preview 18:22
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Complimentary slackness theorem
Preview 15:47

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Dual solution using complimentary slackness
Preview 21:53
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Dual solution from simplex table; economic interpretation of dual
Preview 23:25
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Economic Interpretation of the dual; Dual Simplex algorithm
Preview 22:11
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Solving LPs with mixed type of constraints
Preview 25:10
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Matrix method for LP problems
Preview 20:42

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Introducing the transportation problem
Preview 21:44
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North West corner Rule and minimum cost method
Preview 22:34
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Penalty cost method
Preview 21:26
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Stepping stone method and Modified Distribution method
Preview 22:58
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MODI method; Dual of the transportation problem and the optimality of the MODI method
Preview 22:53

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Introducing the Assignment problem
Preview 24:23
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Solving the Assignment problem
Preview 21:42
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Hungarian algorithm; Alternate optimum
Preview 20:11
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Unequal number of rows and columns; Dual of the assignment problem
Preview 20:36
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Optimality of the Hungarian algorithm
Preview 25:42

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Setting up the problem and solving simple LP problems
Preview 22:22
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Unboundedness and infeasibility
Preview 17:10
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Solving other formulations
Preview 20:00
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Solving a transportation problem
Preview 21:52
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Solving an assignment problem
Preview 23:10
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Meet Your Instructor
Srinivasan G
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Instructor
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7 Courses
About Instructor

Prof. G Srinivasan is a Professor in the Department of Management Studies at IIT Madras. He has more than 25 years of teaching and research experience. His areas of Interest include Operations Research, Supply Chain Management, O.R. Applications. His videos in Operations Research available under NPTEL are popular.

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  • Course Duration
    14 h 37 m 51 s
  • Course Level
    Intermediate
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 14 h 37 m 51 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion