An addiction is still an addiction, whether it's a substance or an action. I have addictive personality characteristics, I can (have) been addicted to caffeine, sugar, alcohol while being addicted to spending time on my computer and other activities.
Do you want to change the behaviour? Do you have any support for the drug/alcohol addiction? If you don't, I'd look into it... beyond that, I believe (if you like 12 step groups) there is a group - Sex Addicts Anonymous, which might help you?
(((((((((((pizzapie)))))))))))) congrats on a month