Article ID: | iaor20013671 |
Country: | Germany |
Volume: | 52 |
Issue: | 2 |
Start Page Number: | 307 |
End Page Number: | 323 |
Publication Date: | Jan 2000 |
Journal: | Mathematical Methods of Operations Research (Heidelberg) |
Authors: | Boxma O.J., Deng Q. |
Keywords: | tandem queues |
Consider a tandem queue consisting of two single-server queues in series, with a Poisson arrival process at the first queue and arbitrarily distributed service times, which for any customer are identical in both queues. For this tandem queue, we relate the tail behaviour of the sojourn time distribution and the workload distribution at the second queue to that of the (residual) service time distribution. As a by-result, we prove that both the sojourn time distribution and the workload distribution at the second queue are regularly varying at infinity of index 1 –