Article ID: | iaor20073144 |
Country: | Netherlands |
Volume: | 35 |
Issue: | 1 |
Start Page Number: | 114 |
End Page Number: | 118 |
Publication Date: | Jan 2007 |
Journal: | Operations Research Letters |
Authors: | Chae Kyung C., Kim Sung J. |
Keywords: | GI/M/1 queues |
We consider the busy period in the GI/M/1 queue with multiple exponential vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.