BLM 3740 • Midterm • Operations Research

What is Linear Programming?

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Solving LP with 2 variables

Example 1

Example 2

Example 3

Alternative Optimal Solutions

Example 4

Standard Form of LP

Example 1

Basic Solutions - Basic Feasible Solutions

Example 2

What is Simplex Method?

Example 3

Example 4

Example 5

Example 6 (Minimization)

Example 7 (Minimization)

Example 8 (Reverse)

Infeasible LP

Alternative Optimal Solutions

Unbounded LP

Direction of Unboundedness

Degeneracy

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

Combining with Primal Simplex

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

Definition / LP Solution

Assumptions of the Problem

Hungarian Method

Hungarian Method: Trouble in Paradise

Example 1

Example 2

Linear Programming 1

Linear Programming 2

Linear Programming 3

Linear Programming 4

Linear Programming 5

Linear Programming 6

Linear Programming 7

Graphical Solution 1

Graphical Solution 2

Graphical Solution 3

Graphical Solution 4

Simplex Method 1

Simplex Method 2

Simplex Method 3

Simplex Method 4

Simplex Method 5

Simplex Method 6

Duality 1

Duality 2

Duality 3

Duality 4

Duality 5

Dual Simplex 1

Dual Simplex 2

Dual Simplex 3

Sensitivity Analysis 1

Sensitivity Analysis 2

Assignment Problem 1

Assignment Problem 2