IE 310 • Final • Operations Research

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

Method

Example 1

Example 2

What is a network?

Shortest Path Problems

Dijkstra's Algorithm

Example 1

Example 2

Example 3

Example 4

Example 5

Maximum Flow Problems

Minimum Cut

Ford Fulkerson Algorithm

Example 1

Example 2

What is NLP?

One Variable Unconstrained Optimization

Bisection method

Example 1

Example 2

Newton's method

Example 3

Example 4

Multivariable Unconstrained Optimization

Gradient Search Algorithm

Example 5

IP Modeling 1

IP Modeling 2

IP Modeling 3

IP Modeling 4

IP Modeling 5

IP Modeling 6

IP Modeling 7

Branch and Bound 1

Branch and Bound 2

Branch and Bound 3

Cutting Plane 1

Cutting Plane 2

Shortest Path Problems 1

Shortest Path Problems 2

Maximum Flow Problem 1

Maximum Flow Problem 2

Non-Linear Programming 1

Non-Linear Programming 2

Non-Linear Programming 3