What aircraft are you talking here? I was unaware, though we used to take Navy and Army aircraft from DC to Norfolk/Langley a lot.
For the Navy, the logistic squadrons are required to have a certain number of aircraft available for JOSAC tasking at any one time. What would happen for my unit a lot of time is that we would get our JOSAC tasked aircraft pulled at the last minute and the same squadron would scramble to make another aircraft available for us.