Need a bit more info, the tanning booth is on the same circuit or just shares a neutral?
According to Ruud's website these fixtures have an integral class P ballast with automatic voltage senseing. It might be a case of reduced voltage during the fan motor start-up load causeing the can voltage sensor circuitry to fritz....it might be typical voltage drop on the circuit during fan start up if it is small conductors/long run/shared hot....
It might be all kinds of things but in your post you havn't given us a lot of info to go on....sorry
