IE 3553 • Final • Deterministic Operations Research

What is duality anyway?

Example 1

Example 2

Example 3

Meaning of Dual Varibles and Complementary Slackness

Example 4

Example 5

Matrices of LP

Example 1

Forming a Table with Given BV

Example 2

Simplex Method in Matrix Form

Example 3

Example 4

Idea Behind Dual Simplex

Comparing Primal/Dual Simplex

Example 1

Example 2

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

What is Integer Programming?

Constraints with Binary Variables

Special Constraints

Introduction

Example 1

Example 2

An Important Question

Knapsack Problem and Branch&Bound

Knapsack Problemi B&B Example

Duality 1

Duality 2

Duality 3

Duality 4

Duality 5

Duality 6

Matrix Form 1

Matrix Form 2

Dual Simplex 1

Dual Simplex 2

Dual Simplex 3

Sensitivity Analysis 1

Sensitivity Analysis 2

Sensitivity Analysis 3

Branch and Bound 1

Branch and Bound 2

Branch and Bound 3