Thanks Jeanette. That was the exact information I was seeking.You may find this study useful:
Causes of repeated mating flights by queen honeybees
Journal of Apiculture Research (1964)
"Observations were made on 2434 flights of 628 queens. Of 303 once-inseminated queens left alive for further observations, 63% flew again and 38% mated on a second flight; 8% of the queens flew yet again, and 6% were inseminated a third time."
The scientists even counted the average number of sperms received in each flight, concluding that "the amount of sperm from the first mating flight influences the likelihood of a second flight and successive matings."