IE 311 • Midterm I • Operations Research I

What is Linear Programming?

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

What is different?

Piecewise Linear Example

Absolute Value Example

Max-Min Example

Using Mathematical Notation

Example 1

Example 2

Example 3

Example 4

Are we doing anything new?

Soru Tipi: Fixed Cost Problems

Example 1

Example 2

Constraints with Binary Variables

Special Constraints

Soru Tipi: Assignment Problems

Example 3

Soru Tipi: Set Covering Problems

Example 4

Solving LP with 2 variables

Example 1

Example 2

Example 3

Alternative Optimal Solutions

Example 4

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

Linear Programming 1

Linear Programming 2

Linear Programming 3

Linear Programming 4

Linear Programming 5

Linear Programming 6

Linear Programming 7

Integer Programming 1

Integer Programming 2

Integer Programming 3

Integer Programming 4

Integer Programming 5

Integer Programming 6

Mixed Integer Linear Programming 1

Mixed Integer Linear Programming 2

Mixed Integer Linear Programming 3

Graphical Solution 1

Graphical Solution 2

Graphical Solution 3

Graphical Solution 4

Closed Form LP 1

Closed Form LP 2

Non-Linear Objectives 1

Non-Linear Objectives 2

Closed Form LP + Non-Linear Objectives 1

Closed Form LP + Non-Linear Objectives 2

Gurobi 1

Gurobi 2

Gurobi 3

Gurobi 4

Mixed Integer Linear Programming 1

Mixed Integer Linear Programming 1 - GUROBI

Mixed Integer Linear Programming 2

Mixed Integer Linear Programming 2 - GUROBI

Linear Programming 1

Linear Programming 1 - GUROBI

Linear Programming 2

Linear Programming 2 - GUROBI

Integer Programming 1

Integer Programming 1 - GUROBI

Integer Programming 2

Integer Programming 2 - GUROBI