IE 335 • Final • Optimization Methods II

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 (Eğer İşlendiyse)

Ford Fulkerson Algorithm (Eğer İşlendiyse)

Example 1 (Eğer İşlendiyse)

Example 2 (Eğer İşlendiyse)

Boss of Network Problems

Example 1

Example 2

Step 1: Finding Initial BFS

Step 2: Finding Entering Variable

Step 3: Finding Leaving Variable & Pivoting

Let's Continue with Iterations

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

Non-Linear Objectives

Piecewise Linear Example

Absolute Value Example

Max-Min Example

If-then --> Either-or

Example 1

Example 2

Dijkstra's Algorithm 1

Shortest Path Problem 1

Shortest Path Problem 2

Shortest Path Problem 3

Shortest Path Problem 4

Shortest Path Problems True/False 1

Shortest Path Problems True/False 2

Maximum Flow Problem 1

Maximum Flow Problem / Ford Fulkerson Algorithm 1

Ford Fulkerson Algorithm 1

MCNFP 1

Network Simplex

IP Modeling 1

IP Modeling 2

IP Modeling 3

IP Modeling 4

IP Modeling 5

IP Modeling 6

IP Modeling 7

IP Modeling 8

IP Modeling 9

IP Modeling 10

IP Modeling 11

IP Modeling 12