I have been on PBS now for several years! (How time flies) and to make a long story short I requested a book that had like 14 copies in the system, and if each copy takes 5 days and rolls over to the next copy in line, it would take 15 - 20 days for acceptance if the copy in the system rolls over to the next copy available in the system. Is this correct? Is there anyway to speed up this process?

 If 10 copeis roll over it would take 50 days or almost 2 months from request to being sent. I guess I should not complain for getting something for about 2.50 or 3.50

Yes, it is possible that there will be a roll over and each member is given 5 days to respond so it could be a long process.  If you are on a time crunch and need a book more quickly you can always make a request in the Book Bazaar forum or obtain the book through other resources (Ebay, local bookstore, library, etc).

No time crunch, but when pbs works fast it is well, awesome.

Everybody gets 5 days to accept a request so there's no way to speed up the process by shortening this time period. 

As Melissa suggested, you could always post in the Book Bazaar asking for the book but given the number of PBS members (over 100K), it's unlikely that those 14 members check out the forums regularly. But it can happen!

Plus every time it rolls over you are helping to weed out inactive members.  They don't automatically suspend accounts for a timeout but it'll flag them and if there are other signs of inactivity, they'll vacation the account.

Another option is Gold Key membership.  The Directed Delivery feature can get you your book faster.

Being on PBS does teach you to be patient.

You can track the roll-overs (you'll see the term "passed on", which I find amusing) in your credit registry, which is on the yellow bar on your main My Account page.