I applied online. The process took 4 weeks. I interviewed at Southwest Airlines (Dallas, TX) in Feb 2015
Interview
Took a while for a call back at all (understandable...many thousands of resumes are submitted). One phone interview followed by an in-person interview. Very straight forward, very easy going. There were no particularly technical questions. Very much a personality interview -- Just be yourself! ~1month from phone call to offer, 3 months total.
did initial call with recruiter at swa, then did 3 interviews back to back with diff teams which lasted an hour an a half. Then waited for over 2 weeks to hear anything back