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NOC:Introduction to Operations Research (Video)
Syllabus
Co-ordinated by :
IIT Madras
Available from :
2015-01-09
Lec :
1
Modules / Lectures
Intro Video
Week 1 - Linear Programming Introduction and formulations
Product Mix problem and Notations
Manpower and Production planning formulations
Media selection problem and Bicycle problem
Caterer problem
Maximum flow and bin packing problems
Week 2 - Graphical and Algebraic methods
Graphical method (maximization)
Graphical method (minimization)
Algebraic method (maximization)
Algebraic method (minimization)
Comparing graphical and algebraic methods
Week 3-Simplex Algorithm
Algebraic form of simplex algorithm
Tabular form of simplex (maximization)
Tabular form (minimization)
Unboundedness
Infeasibility
Week 4:Dual
Motivation to the dual
Writing the dual for a general LP
Writing dual for a general LP (continued)
Duality theorems
Complimentary slackness theorem
Week 5:Primal dual relationships
Dual solution using complimentary slackness
Dual solution from simplex table; economic interpretation of dual
Economic Interpretation of the dual; Dual Simplex algorithm
Solving LPs with mixed type of constraints
Matrix method for LP problems
Week 6:Transportation problem
Introducing the transportation problem
North West corner Rule and minimum cost method
Penalty cost method
Stepping stone method and Modified Distribution method
MODI method; Dual of the transportation problem and the optimality of the MODI method
Week 7:Assignment Problem
Introducing the Assignment problem
Solving the Assignment problem
Hungarian algorithm; Alternate optimum
Unequal number of rows and columns; Dual of the assignment problem
Optimality of the Hungarian algorithm
Week 8:Solving LPs using a solver
Setting up the problem and solving simple LP problems
Unboundedness and infeasibility
Solving other formulations
Solving a transportation problem
Solving an assignment problem
Live Session
Live Session 24-03-2021
Watch on YouTube
Assignments
Transcripts
Books
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Sl.No
Chapter Name
English
1
Product Mix problem and Notations
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2
Manpower and Production planning formulations
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Verified
3
Media selection problem and Bicycle problem
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Verified
4
Caterer problem
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Verified
5
Maximum flow and bin packing problems
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Verified
6
Graphical method (maximization)
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Verified
7
Graphical method (minimization)
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Verified
8
Algebraic method (maximization)
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Verified
9
Algebraic method (minimization)
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Verified
10
Comparing graphical and algebraic methods
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Hindi
1
Product Mix problem and Notations
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2
Manpower and Production planning formulations
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3
Media selection problem and Bicycle problem
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4
Caterer problem
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5
Maximum flow and bin packing problems
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6
Graphical method (maximization)
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7
Graphical method (minimization)
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8
Algebraic method (maximization)
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9
Algebraic method (minimization)
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10
Comparing graphical and algebraic methods
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1
Product Mix problem and Notations
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2
Manpower and Production planning formulations
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3
Media selection problem and Bicycle problem
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4
Caterer problem
Download
5
Maximum flow and bin packing problems
Download
6
Graphical method (maximization)
Download
7
Graphical method (minimization)
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8
Algebraic method (maximization)
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9
Algebraic method (minimization)
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10
Comparing graphical and algebraic methods
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Telugu
1
Product Mix problem and Notations
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2
Manpower and Production planning formulations
Download
3
Media selection problem and Bicycle problem
Download
4
Caterer problem
Download
5
Maximum flow and bin packing problems
Download
6
Graphical method (maximization)
Download
7
Graphical method (minimization)
Download
8
Algebraic method (maximization)
Download
9
Algebraic method (minimization)
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10
Comparing graphical and algebraic methods
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