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Stability In Queueing Networks Via The Finite Decomposition Property

Author

Listed:
  • 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)

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.

Suggested Citation

  • Utku Yildirim & John J. Hasenbein, 2008. "Stability In Queueing Networks Via The Finite Decomposition Property," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 393-409.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:03:n:s0217595908001808
    DOI: 10.1142/S0217595908001808
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