IE 333 • Midterm • Operations Research II - Deterministic Problems

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

Alternative Optimal Solutions Example 1

Alternative Optimal Solutions Example 2

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

Exam Like Question 1

Example 2

Combining with Primal Simplex

Example 3

Example 4

Example 5

Exam Like Question 2

Matrices of LP

Example 1

Forming a Table with Given BV

Example 2

General Procedure

Optimal Basis v Optimal Solution

Changing Objective Function Coefficient of a NBV

Example 3

Changing Objective Function Coefficient of a BV

Example 4

Changing RHS of a Constraint

Example 5

Changing Column of a NBV

Example 6

Adding a New Variable

Example 7

Adding a New Constraint

Example 8

Graphical Solution 1

Graphical Solution 2

Graphical Solution 3

Graphical Solution 4

Graphical Solution 5

Simplex Method 1

Simplex Method 2

Simplex Method 3

Simplex Method 4

Simplex Method 5

Simplex Method 6

Simplex Method 7

Duality 1

Duality 2

Duality 3

Duality 4

Duality 5

Duality 6

Dual Simplex 1

Dual Simplex 2

Dual Simplex 3

Dual Simplex 4

Sensitivity Analysis 1

Sensitivity Analysis 2

Sensitivity Analysis 3

Sensitivity Analysis 4

Sensitivity Analysis 5

Sensitivity Analysis 6