STABILITY IN QUEUEING NETWORKS VIA THE FINITE DECOMPOSITION PROPERTY

Utku Yildirim () and John J. Hasenbein ()
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Utku Yildirim: Prorize LLC, 12138 Madison Dr. Atlanta, Georgia 30346, USA
John J. Hasenbein: Graduate Program in OR\IE, Department of Mechanical Engineering, University of Texas at Austin, Austin, Texas 78712-1063, USA

Asia-Pacific Journal of Operational Research (APJOR), 2008, vol. 25, issue 03, 393-409

Abstract: Determination of the stability behavior of a queueing network is an important part of analyzing such systems. Gamarnik and Hasenbein (2005) have shown that if a fluid network has the finite decomposition property (FDP) and is not weakly stable, then any queueing network associated with the fluid network is not rate stable. In Gamarnik and Hasenbein's paper, the FDP was demonstrated for two station queueing networks only. In this paper, we show that the property holds for certain classes of queueing networks with any number of stations, thus allowing one to completely analyze the global stability of such queueing networks via the fluid model.

Keywords: Queueing network stability; fluid network models; finite decomposition property (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0217595908001808

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