A BMAP/PH/1 Queue with Feedback Operating in a Random Environment

Krieger, U. and Klimenok, Valentina 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 . (The full text of this publication is not available from this repository)

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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: 11 Jul 2014 10:41
Resource URI: http://kar.kent.ac.uk/id/eprint/17843 (The current URI for this page, for reference purposes)
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