The BMAP/G/1 $\to \cdot$/PH/1/M tandem queue with feedback and losses

Kim, Che Soong and Klimenok, V.I. and Tsarenkov, G.V. and Breuer, Lothar (2007) The BMAP/G/1 $\to \cdot$/PH/1/M tandem queue with feedback and losses. Performance Evaluation, 64 (7-8). pp. 802-818. (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.peva.2007.01.002

Abstract

Tandem queues are good mathematical models of communication systems and networks, so their investigation is important for theory and applications. In this paper, exact analytical analysis of the tandem queue of the type with customers loss in case when the intermediate buffer is full and with possible feedback is implemented. Possible correlation in the input stream is taken into account by of assuming the Batch Markovian Arrival Process (BMAP). Stability condition for the tandem is derived. Stationary distribution of the system states is derived. Loss probability is calculated. Dependence of the system performance measures on correlation in the input flow, buffer capacity, and feedback probability is numerically illustrated.

Item Type: Article
Subjects: Q Science
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Lothar Breuer
Date Deposited: 07 Oct 2008 08:58
Last Modified: 30 Jul 2012 10:37
Resource URI: http://kar.kent.ac.uk/id/eprint/12992 (The current URI for this page, for reference purposes)
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