IE 301 (Spring 24) • Operations Research I • Final

Introducing Artifical Variables

Big M Method

Example 1

Example 2

Two Phase Method

Example 3

Example 4

What is duality anyway?

Example 1

Example 2

Example 3

Meaning of Dual Varibles and Complementary Slackness

Example 4

Example 5

Idea Behind Dual Simplex

Comparing Primal/Dual Simplex

Example 1

Example 2

Generalized Simplex Method

Example 3

Example 4

Example 5

Matrices of LP

Example

Forming a Table with Given BV

Example

General Procedure

Changing Coefficients of a Non-Basic Variable

Example 1

Example 2

Introducing a New Variable

Example 3

Example 4

Changing Right-Hand-Side of a Constraint

Example 5

Example 6

Introducing a New Constraint

Example 7

Example 8

Changing Coefficients of a Basic Variable

Example 9

Example 10

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

Dual Simplex 1

Dual Simplex 2

Matrices of LP 1

Matrices of LP 2

Sensitivity Analysis 1

Sensitivity Analysis 2

Transportation Problem 1

Transportation Problem 2

Transportation Problem 3

Assignment Problem 1

Assignment Problem 2

Assignment Problem 3