Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4960099 | European Journal of Operational Research | 2017 | 9 Pages |
Abstract
We consider multi-server tandem queues where both stations have a finite buffer and all services times are phase-type distributed. Arriving customers enter the first queueing station if buffer space is available or get lost otherwise. After completing service in the first station customers proceed to the second station if buffer space is available, otherwise a server at the first station is blocked until buffer space becomes available at the second station. We provide an exact computational analysis of various steady-state performance measures such as loss and blocking probabilities, expectations and higher moments of numbers of customers in the queues and in the whole system by modeling the tandem queue as a level-dependent quasi-birth-and-death process and applying suitable matrix-analytic methods. Numerical results are presented for selected representative examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hendrik Baumann, Werner Sandmann,