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Resource-Sharing Queueing Systems with Fluid-Flow Traffic

Author

Listed:
  • Sai Rajesh Mahabhashyam

    (Oracle Corporation, King of Prussia, Pennsylvania 19406)

  • Natarajan Gautam

    (Department of Industrial and Systems Engineering, Texas A&M University, College Station, Texas 77843)

  • Soundar R. T. Kumara

    (Department of Industrial and Manufacturing Engineering, Pennsylvania State University, University Park, Pennsylvania 16802)

Abstract

A system consisting of two buffers, each with independent fluid sources, is considered in this paper. Due to ease of implementation, the output capacities for the two buffers depend on the workload of only one of the buffers that is measured. A threshold-based policy is considered to dynamically assign output capacities for both buffers. Marginal workload distributions for the two buffers need to be evaluated for this policy. The key contribution of this paper is the performance analysis to derive the workload distribution in the two buffers. In addition, the paper also provides some guidelines to choose the output capacities for the two buffers as well as a mathematical program to determine an optimal threshold to dynamically switch between output capacities. Further, various applications of such systems to computer-communication networks are discussed.

Suggested Citation

  • Sai Rajesh Mahabhashyam & Natarajan Gautam & Soundar R. T. Kumara, 2008. "Resource-Sharing Queueing Systems with Fluid-Flow Traffic," Operations Research, INFORMS, vol. 56(3), pages 728-744, June.
    • Handle: RePEc:inm:oropre:v:56:y:2008:i:3:p:728-744
    DOI: 10.1287/opre.1070.0483
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    References listed on IDEAS

    as
    1. Palmowski, Zbigniew & Rolski, Tomasz, 1996. "A note on martingale inequalities for fluid models," Statistics & Probability Letters, Elsevier, vol. 31(1), pages 13-21, December.
    2. M. Dacre & K. Glazebrook & J. Niño‐Mora, 1999. "The achievable region approach to the optimal control of stochastic systems," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(4), pages 747-791.
    Full references (including those not matched with items on IDEAS)

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