The short url service of your own domain can increase your traffic as well as can place a good impression to the real time search users... It may come that the Twitter users starts using your short url service if they found your url more catchy than others.
A script by YOURLS , gives you the personal (private) or commercial (open to public) URL shortener for free. The script requires a server with PHP 4.3, MYSQL 4.1 and mod_rewrite enabled.
A Step by Step guideline by ShoutMeLoud to create your own URL shortening service. Follow its guidelines install it on your server.
