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Linear Programming Modeling
What is Linear Programming?
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Graphical Solution
Solving LP with 2 variables
Example 1
Example 2
Example 3
Alternative Optimal Solutions
Example 4
Simplex Method
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
Duality
What is duality anyway?
Example 1
Example 2
Example 3
Meaning of Dual Varibles and Complementary Slackness
Example 4
Example 5
Dual Simplex Method
Idea Behind Dual Simplex
Comparing Primal/Dual Simplex
Example 1
Example 2
Combining with Primal Simplex
Example 3
Example 4
Example 5
Sensitivity Analysis
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
Transportation Problem
Definition / LP Solution
Assumptions of the Problem
Least Cost Solution
Example 1
Northwest Corner Solution
Example 2
Assignment Problem
Definition / LP Solution
Assumptions of the Problem
Hungarian Method
Hungarian Method: Trouble in Paradise
Example 1
Example 2
Sample Midterm Problems
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
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