# Operations Research
#### Enrico Malucelli
##### 6 October 2015
## Introduction
### What is Operations Research?
Is a method of taking decisions using math

Typically we solve optimization problems daily withoud being conscious

        Confucius

        I hear and forget,
        I see and remember,
        I do and understand.
####Interesting sites:


### What kind of decisions?
- __Strategic__ Level: design a railroad
- __Tactical__ level: how many trains to use
- __Operational__ level: schedule the trains

### How OR approaches the problems
- __Decisions__
- __Rules__ Mathematical constraints
- __Objective__ Maximize the income
#### Solution to phone building example:
- plot the constraints in a 2D graph
- select the region below all the constraints
- Find the optimal solution analyzing the vertexes of the polygon.

(In this case the vertex were integers but they may be real numbers and the solution is required to be integer.)
### Challenges
http://challenge.roadef.org/2016/en/index.php