A lot depends on the viability of the drone she mates with.
I read a lot of the research done by David Tarpy. In that research they did DNA testing to see exactly how many drones a queen actually mated with.
The answers ranged from ONE to forty. With an average of around 13 - 15 Drones.
The interesting part was that he found that queens that mated with MORE drones were more.... adored, by the bees. a queen that mated one to four times was accepted, but a queen that mated ten + times was lavished with attention by the bees.
Few matings could result in a queen being superseded, or failing early.
Other research I have read indicates that pesticide, fungicide, mitacide, etc, etc, building up in combination within the hive caused... if not sterility in drones, then Low viability of the sperm, and consequently queens that were prone to failing early.
One day I need to conglomerate all of this information with references to make it easier to find and verify.