Today, I viewed a site alexarankteam.com. It boasts they can do alexa rank easily. After talking with them, they said they never failed on this project. Should I try to use his service? Who knows more about that site?
Do they tell you how they are going to do it? I can tell you easy ways to do it, but they don't always net better/recurring traffic. In other words, they could just be spiking traffic to make alexa rank increase. That's easy to do.
Most of these companies just manipulate the Alexa system and add fake traffic to your site over time to increase your Alexa ranking. I personally do not pay much attention to the Alexa ranking since it can be so easily "tricked" and the stats are only from those people who have the Alexa bar or plugin installed.