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Optimal capacity assignment in general queueing networks

In: Optimization

Author

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  • P.K. Pollett

    (University of Queensland)

Abstract

We consider the problem of how best to assign the service capacity in a queueing network in order to minimize the expected delay under a cost constraint. We study systems with several types of customers, general service time distributions, stochastic or deterministic routing, and a variety of service regimes. For such networks there are typically no analytical formulae for the waiting-time distributions. Thus we shall approach the optimal allocation problem using an approximation technique: specifically, the residual-life approximation for the distribution of queueing times. This work generalizes results of Kleinrock, who studied networks with exponentially distributed service times. We illustrate our results with reference to data networks.

Suggested Citation

  • P.K. Pollett, 2009. "Optimal capacity assignment in general queueing networks," Springer Optimization and Its Applications, in: Charles Pearce & Emma Hunt (ed.), Optimization, edition 1, chapter 0, pages 261-272, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-98096-6_14
    DOI: 10.1007/978-0-387-98096-6_14
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    Cited by:

    1. A. B. Dieker & S. Ghosh & M. S. Squillante, 2017. "Optimal Resource Capacity Management for Stochastic Networks," Operations Research, INFORMS, vol. 65(1), pages 221-241, February.
    2. A. B. Dieker & S. Ghosh & M. S. Squillante, 2017. "Optimal Resource Capacity Management for Stochastic Networks," Operations Research, INFORMS, vol. 65(1), pages 221-241, February.

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