What do you mean by "central booking system"? As far as I know (working on a rental car contract for a couple years), there are just various travel industry standards for bookings and whatnot.
It started with airlines, but eventually included everything from hotels to rental cars.
The space is more or less dominated by a few big players. Sabre. Amadeus. Travelport.
GDS is the backbone of all of these booking platforms as far as I'm aware.