Operations Research: Linear Programming and Duality in Spreadsheets and Python

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"1. Operations Research
2. Linear Programming
3. Duality
4. Excel Implementation
5. Python Implementation
6. Dual Interpretation"
  1. IIT Madras - B.S. Degree Programme
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Introduction:

Linear Programming(LP): 1:33 2:13 4:45 6:13

Typical OR problem: 1:50
Domains in OR: 2:10
Integer Programming: 3:27 3:45
Caution: 4:04
Non-linear programming: 4:23
Decision or game?: 5:23(decision) 5:42(game)

LP Example: 6:38 (problem statement)

Overview: 9:55 11:08

Situation: 12:24
Dual of LP: 13:51 14:52
Primal: 14:07
Optimal solution: 14:18
Primal Vs Dual: 15:29
Coefficients: 15:58 16:10

Excel Implementation: Primal, Dual Verification

Solver addin: 22:40
SUMPRODUCT: 23:45, 24:21
Primal setup: 24:55 26:11
Solution: 26:33
Sensitivity Report: 27:40
Tight constraint: 29:24
Dual Setup: 30:12

Python Implementation: Primal, Dual Verification


Primal:

Overview: 32:20
Import Library: 32:50
Problem setup: 32:56
Variables: 33:09
Objective function setup: 33:33
Constraints: 33:53
Model: 34:05
Solution: 34:25
Print Optimal Solution: 34:45
Verification: 35:10

Dual:

Dual verification: 35:20
Objective: 35:33
Variables: 35:44
Objective Function: 35:50
Constraints: 35:53
Print dual: 35:59
Solve: 36:12
Optimal Solution: 36:19

avenumadhav
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🇮🇳 Week-5/Lec-7 🇮🇳
Jai Shree Ram
Har Har Mahadev

shailxiitm
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Which module is this? Is it part of Foundation course or what?

gangaprasadtewary