IE 222 (Spring 24) • Operations Research I • Final

What is duality?

Example 1

Example 2

Example 3

Complementary Slackness

Example 4

Example 5

What is Integer Programming?

Fixed Cost Problems

Constraints with Binary Variables

Special Constraints

Assignment Problems

Set Covering Problems

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Definition / LP Solution

Assumptions of the Problem

Least Cost Solution

Example 1

Northwest Corner Solution

Example 2

Vogel's Method

Example 3

Transportation Simplex Method

Example 4

Example 5

Example 6

Example 7

Definition / LP Solution

Assumptions of the Problem

Hungarian Method

Hungarian Method: A Problem!

Example 1

Example 2

Duality 1

Duality 2

Duality 3

Duality 4

Duality 5

Duality 6

Modeling with Integer Variables 1

Modeling with Integer Variables 2

Modeling with Integer Variables 3

Modeling with Integer Variables 4

Modeling with Integer Variables 5

Modeling with Integer Variables 6

Modeling with Integer Variables 7

Transportation Problem 1

Transportation Problem 2

Transportation Problem 3

Assignment Problem 1

Assignment Problem 2

Assignment Problem 3