| Article ID: | iaor20041352 |
| Country: | United States |
| Volume: | 18 |
| Issue: | 3 |
| Start Page Number: | 369 |
| End Page Number: | 386 |
| Publication Date: | Jul 2002 |
| Journal: | Stochastic Models |
| Authors: | Takine Tetsuya, Lee Ho Woo, Chae Kyung Chul, Chang Seok Ho |
| Keywords: | BMAP/G/1 queues, vacation models |
The main purpose of this article is to demonstrate a unified queue length formula for the BMAP/G/1 queue with generalized server vacations. We also present two unified formulas; one for the distribution of the workload, and the other for the joint distribution of the queue length and the remaining service time. Some factorizations, which are previously known for M/G/1 queues with vacations and for MAP/G/1 queue with multiple vacations, are now recast in this new framework. Further, based on these formulas, we provide general recursions for the performance measures of interest.