| Article ID: | iaor20073142 |
| Country: | Netherlands |
| Volume: | 34 |
| Issue: | 6 |
| Start Page Number: | 706 |
| End Page Number: | 712 |
| Publication Date: | Nov 2006 |
| Journal: | Operations Research Letters |
| Authors: | Chae Kyung C., Lee Ho Woo, Lee Sang Min |
| Keywords: | stochastic processes |
We consider a GI/M/1 queueing system in which the server takes exactly one exponential vacation each time the system empties. We derive the PGF of the stationary queue length and the LST of the stationary FIFO sojourn time. We show that both the queue length and the sojourn time can be stochastically decomposed into meaningful quantities.