I applied online. The process took 1 week. I interviewed at UPS (Dallas, TX) in Apr 2013
Interview
1. Apply online - Apply on careers page of UPS
2. HR interview - They pick your resume and this is a basic screening on call if you are remote.
3. Interview with the Engineering manager. - This is the actual engineering / technical interview where they might see if you are a match .
4. Confirmation with a final round of HR interview. To seal the deal pretty much
If you get an offer you might have a week or two to respond and finalize.