For another example of timelines I will add my experience so far.
I submitted mine 8/31.  DH did his 9/1.  DH's was processed on Sept 6th and we received it on Sept 13th, for 12 days total. Awesome!  
My payment was processed 9/3 and as of 9/21 it's still showing "In Process".   3 weeks and not even done/mailed yet.  I'm not sure why there is such a discrepancy, especially when they say they process them in order, but they do say  it takes 6-8 weeks so I will have to wait some more.  Our next cruise check in is in about a month so I hope to have it in time for that.