| Article ID: | iaor20021450 |
| Country: | China |
| Volume: | 4 |
| Issue: | 4 |
| Start Page Number: | 63 |
| End Page Number: | 70 |
| Publication Date: | Nov 2000 |
| Journal: | OR Transactions |
| Authors: | Yu Haibo, Zhou Jialiang, Nie Zankan |
| Keywords: | MAP/G/c queues |
In this paper, we study the MAP/PH/3 discrete-time queue with Markovian arrival process, there are three servers in the system, service time of each server follows phase type distribution. By using the theory of matrix-geometric solution we give the necessary and sufficient condition of the system being stable and the stationary queue length distribution of the system. At the same time, the stationary distribution of queue length seen by an arriving customer and the mean waiting time are also provided.