IE 312 • Midterm I • Operations Research II

What is Integer Programming?

Fixed Cost Problems

Example 1

Example 2

Constraints with Binary Variables

Special Constraints

Assignment Problems

Example 3

Set Covering Problems

Example 4

If-then --> Either-or

Example 5

Example 6

Introduction

Example 1

Example 2

An Important Question

Knapsack Problem and Branch&Bound

Knapsack Problem B&B Example

What is Gurobi?

Constructing Model

Defining Input Parameters

Adding Variables

Adding Constraints - Part I

quicksum

Adding Constraints - Part II

Defining Objective Function

Solving Model

Printing Output

Gurobi Hatirlatma

Gurobi LP Example

Integer Programming Gurobi Example

Branch and Bound Gurobi

Integer Programming 1

Integer Programming 2

Integer Programming 3

Integer Programming 4

Integer Programming 5

Integer Programming 6

Integer Programming 7

Integer Programming 8

Integer Programming 9

Integer Programming 10

Integer Programming 11

Integer Programming 12

Integer Programming 13

Integer Programming 14

Integer Programming 15

Integer Programming 16

Integer Programming 17

Integer Programming 18

Integer Programming 19

Branch and Bound 1

Branch and Bound 2

Branch and Bound 3

Branch and Bound 4

Branch and Bound 5

Branch and Bound 6

Gurobi 1

Gurobi 2

Mixed Integer Linear Programming 1

Mixed Integer Linear Programming 1 - GUROBI

Mixed Integer Linear Programming 2

Mixed Integer Linear Programming 2 - GUROBI

Integer Programming 1

Integer Programming 1 - GUROBI

Integer Programming 2

Integer Programming 2 - GUROBI