Article ID: | iaor20041261 |
Country: | United States |
Volume: | 26 |
Issue: | 3 |
Start Page Number: | 485 |
End Page Number: | 493 |
Publication Date: | Aug 2001 |
Journal: | Mathematics of Operations Research |
Authors: | Zwart A.P. |
Keywords: | GI/G/1 queues |
We characterise the tail behaviour of the busy period distribution in the GI/G/1 queue under the assumption that the tail of the service time distribution is of intermediate regular variation. This extends a result of de Meyer and Teugels, who treated the M/G/1 queue with a regularly varying service time distribution. Our method of proof is, opposed to the one in de Meyer and Teugels, probabilistic, and reveals an insightful relationship between the busy period and the cycle maximum.