This is coming from a guy that has never installed OBA, so take it with a handful of salt… I currently have a portable tankless compressor with alligator clips for mobile tire filling. It’s a few pounds, and if I want to use it, I unroll the cables and air hose, connect it to the battery, connect it to a tire, and flip the switch to turn it on. BRRRRRRR, I’m filling my tire.
OBA works the same way, but it’s integrated: the compressor is installed somewhere in the vehicle, cab or engine compartment. The cables are connected to the battery (or maybe even an aux battery), the switch might be located on the dash, and the air hose is probably routed somewhere convenient like through a hole in one of the bumpers.
OBA might even include a tank for storing compressed air. In that case, there will be a pressure switch that shuts off the compressor when the tank hours a certain pressure, and a drain/high-pressure bleed valve. And then the air hose would be routed from the compressor to the tank, and then from the tank to the accessories that require air… probably with some regulators to ensure the air is at the correct pressure for those accessories (lockers, BFO air horn, etc.).