Krieger, U., Klimenok, Valentina, Kazimirsky, A., 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. (doi:10.1016/j.mcm.2004.11.002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17843)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| 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 |
|---|---|
| DOI/Identification number: | 10.1016/j.mcm.2004.11.002 |
| Uncontrolled keywords: | Batch Markovian arrival process; Phase type service; Feedback; Random environment; Algorithm |
| Subjects: | Q Science |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Lothar Breuer |
| Date Deposited: | 16 Apr 2009 12:58 UTC |
| Last Modified: | 16 Nov 2021 09:56 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/17843 (The current URI for this page, for reference purposes) |
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