| Article ID: | iaor20052378 |
| Country: | China |
| Volume: | 24 |
| Issue: | 2 |
| Start Page Number: | 155 |
| End Page Number: | 162 |
| Publication Date: | Apr 2004 |
| Journal: | Journal of Systems Science and Complexity |
| Authors: | Yu Haibo |
| Keywords: | GI/G/1 queues, vacation models |
In this paper the discrete-time queue with phase-type vacation, phase-type set-up time and single geometric vacation is studied. Suppose that the interarrival times of customers follow general distributions and service times of customers follow geometric distributions, the stationary queue length distributions at arrival times and stochastic decompositions of queue length in the three queueing systems are obtained by using matrix analysis.