| Article ID: | iaor20083456 |
| Country: | Netherlands |
| Volume: | 35 |
| Issue: | 5 |
| Start Page Number: | 595 |
| End Page Number: | 600 |
| Publication Date: | Sep 2007 |
| Journal: | Operations Research Letters |
| Authors: | Tian Nai-shuo, Liu Wen-yuan, Xu Xiu-li |
| Keywords: | M/M/1 queues, M/G/1 queues, vacation models |
We demonstrate stochastic decomposition structures of the queue length and waiting time in an M/M/1/WV queue, and obtain the distributions of the additional queue length and additional delay. Furthermore, we discuss the relationship between the stochastic decomposition properties of the working vacation queue and those of the standard M/G/1 queue with general vacations.