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Analytic study of multiserver buffers with two-state Markovian arrivals and constant service times of multiple slots

Author

Listed:
  • Peixia Gao
  • Sabine Wittevrongel
  • Joris Walraevens
  • Herwig Bruneel

Abstract

In this paper, we study the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive at the system according to a two-state Markovian arrival process. The service times of the packets are assumed to be constant, equal to multiple slots. The behavior of the system is analyzed by means of an analytical technique based on probability generating functions (PGF’s). Explicit expressions are obtained for the PGF’s of the system contents and the packet delay. From these, the mean values, the variances and the tail distributions of the system contents and the packet delay are calculated. Numerical examples are given to show the influence of various model parameters on the system behavior. Copyright Springer-Verlag 2008

Suggested Citation

  • Peixia Gao & Sabine Wittevrongel & Joris Walraevens & Herwig Bruneel, 2008. "Analytic study of multiserver buffers with two-state Markovian arrivals and constant service times of multiple slots," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(2), pages 269-284, April.
    • Handle: RePEc:spr:mathme:v:67:y:2008:i:2:p:269-284
    DOI: 10.1007/s00186-007-0163-z
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    References listed on IDEAS

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    1. M. L. Chaudhry & U. C. Gupta & V. Goswami, 2001. "Modeling and Analysis of Discrete-Time Multiserver Queues with Batch Arrivals: GI X /Geom/m," INFORMS Journal on Computing, INFORMS, vol. 13(3), pages 172-180, August.
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    Cited by:

    1. Bruneel, Herwig & Maertens, Tom & Walraevens, Joris, 2014. "Class clustering destroys delay differentiation in priority queues," European Journal of Operational Research, Elsevier, vol. 235(1), pages 149-158.

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