Krieger, U. and Klimenok, V.I. and Kazimirsky, A. and Breuer, Lothar (2005) A BMAP/PH/1 Queue with Feedback Operating in a Random Environment. Mathematical and Computer Modelling, 41 (8-9). pp. 867-882. ISSN 0895-7177 .
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| Official URL http://dx.doi.org/10.1016/j.mcm.2004.11.002 |
Abstract
Feedback queues play an important role in real-life service systems, where customers may require repeated services. In this paper, we consider a feedback queue with batch Markovian arrivals and phase type services. We further assume that both the arrival process and service times are influenced by an external finite state Markovian environment. The stationary state distributions of the queue and the sojourn time are calculated and numerical examples are presented.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Batch Markovian arrival process; Phase type service; Feedback; Random environment; Algorithm |
| Subjects: | Q Science |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Lothar Breuer |
| Date Deposited: | 16 Apr 2009 12:58 |
| Last Modified: | 30 Jul 2012 10:37 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/17843 (The current URI for this page, for reference purposes) |
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