Should add to that, when this is done the queen is generally mated with just one drone, that is to keep her progeny as genetically pure as possible, if 2 drones were used there would be greater genetic diversity among the offspring. Even though the drones are from the same mother there are still genetic differences between them.
The object is not to make a queen that will have a long life or head a production hive. All she has to do is lay eggs for a short period, which can enable up to thousands of queens to be raised from her if need be although in most line breeding programs a smaller amount of queens will do.
To some, this whole concept of how to breed would be repulsive. To me, I don't think we should do it a lot, but there are occasions when is has it's uses. Let's say, as a hypothetical example, someone happened upon a hive that could have thousands of varroa mites thrown at it, and repulse them all. An ultimate mite resistant machine. In such circumstances this genetic material should be treated as gold, and not be squandered just on the vagaries of open mating. There would be a strong case for line breeding and fixing this trait among thousands of almost identical queens, then using that broader base for further development of the strain.
It is in these type scenarios where keepers of survivor bees, and skilled professional breeders who use technology, could benefit by getting their heads together and cooperating for the benefit of all, rather than the discord that is often the order of the day. To do this, both have to understand and accept the others ideas and methods.