To run Airlines in Docker, you need to install Docker and check that the version is greater or equal to 1.0.1.
To verify your version, run:
sudo docker --version
To upgrade your docker version or to install it, take a look at this section of the docker installation guide.
Once you are done with this, you can build your image and run your container:
sudo docker build -t airlines .
sudo docker run airlines
It will output the IP address of your container. Now, you just have to open a browser, paste the address and choose app.php or app_dev.php.