timeline for adjudicated VA claim depends on which VA you've filed with. As an example, I have friends who have been waiting anywhere from one to several years. I, on the other hand, had a fully adjudicated claim in 8 weeks, because the Southern Arizona VA (aka Tucson) is awesome. Have you already filed your claim paperwork?
My timeline: filed paperwork at the assistance office on base, 5 weeks later had appointment at the VA hospital for the exams, 3 weeks after that I got a letter in the mail detailing the results/decisions for my claimed service-connected medical issues, and a week after that I had my first check electronically deposited in my bank account for the back pay to my DOS.