| Article ID: | iaor20091437 |
| Country: | Netherlands |
| Volume: | 36 |
| Issue: | 2 |
| Start Page Number: | 189 |
| End Page Number: | 195 |
| Publication Date: | Mar 2008 |
| Journal: | Operations Research Letters |
| Authors: | Liu Liming, Lian Zhaotong |
| Keywords: | tandem queues, MAP/G/1 queues |
This paper studies a tandem queue with MAP inputs. A novel formulation is proposed to model it into a level-dependent quasi-birth–death process with expanding blocks. This allows us to analyze the joint time-dependent and steady-state queue length distributions efficiently. We also obtain the network sojourn time of an arbitrary customer.