Simple Solutions for a Class of Periodic Queues

Breuer, Lothar (2002) Simple Solutions for a Class of Periodic Queues. In: Amborski, K. and Meuth, H., eds. Modelling and Simulation 2002. SCS Europe, Ghent, Belgium pp. 505-512. ISBN 978-90-77039-07-6. (The full text of this publication is not available from this repository)

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Abstract

In the present paper, the periodic BMAP/M-t/c queue is analyzed. This queue. has a periodic BMAP arrival process, which is defined in this paper, and exponential service time distributions with service rates varying periodically in time. The transient distribution and several formulae for its efficient computation are derived. Furthermore, a stability condition in terms of arrival and service rates is proven, and for the case of stability the asymptotic distribution is given explicitly. A special class of periodic BMAP/M-t/c queues, which allows to reduce the complexity of computations to the level of homogeneous queues, is separated. The obtained results are applied to the spatial SMAP/M-t/(c)/(c) variant of the queue, too. This variant is very useful as a model for mobile communication networks.

Item Type: Conference or workshop item (UNSPECIFIED)
Additional information: 6th European Simulation Multiconference (ESM 2002) UNIV APPL SCI, DARMSTADT, GERMANY, JUN 03, 2001-JUN 05, 2002 Soc Comp Modeling & Simulat Int; ASIM; Chenese Assoc Syst Simulat; European Simulat Council; Federat European Simulat Soc; Hungarian Simulat Soc; Japan Soc Simulat Technol; Turkish Simulat soc
Uncontrolled keywords: periodic queues; BMAP; Markov jump processes
Subjects: Q Science
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Lothar Breuer
Date Deposited: 17 Sep 2008 10:04
Last Modified: 20 Apr 2012 13:44
Resource URI: http://kar.kent.ac.uk/id/eprint/4026 (The current URI for this page, for reference purposes)
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