Article ID: | iaor20003178 |
Country: | Netherlands |
Volume: | 31 |
Issue: | 1/2 |
Start Page Number: | 95 |
End Page Number: | 100 |
Publication Date: | Mar 1999 |
Journal: | Queueing Systems |
Authors: | Chaudhry M.L., Gupta U.C. |
Keywords: | markov processes |
In this paper, we consider a single-server finite-capacity queue with general bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. The queue is analyzed using both the supplementary variable and imbedded Markov chain techniques. The relations between state probabilities at departure and arbitrary epochs have been presented in explicit forms.