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Queueing Systems with Fractional Number of Servers

Author

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  • Naumov, Valeriy
  • Martikainen, Olli

Abstract

In this paper we introduce multi-server queueing systems that can be considered as extensions of conventional M/M/s queue to fractional number of servers. We show that the extended Erlangs delay function can be used to calculate delay probabilities for such systems. This approach enables the delay analysis in networks with fractional number of servers in the nodes using classical methods.

Suggested Citation

  • Naumov, Valeriy & Martikainen, Olli, 2012. "Queueing Systems with Fractional Number of Servers," Discussion Papers 1268, The Research Institute of the Finnish Economy.
    • Handle: RePEc:rif:dpaper:1268
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    File URL: http://www.etla.fi/wp-content/uploads/2012/09/dp1268.pdf
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    References listed on IDEAS

    as
    1. Down, Douglas G. & Karakostas, George, 2008. "Maximizing throughput in queueing networks with limited flexibility," European Journal of Operational Research, Elsevier, vol. 187(1), pages 98-112, May.
    2. Naumov, Valeriy & Martikainen, Olli, 2011. "Method for Throughput Maximization of Multiclass Networks with Flexible Servers," Discussion Papers 1261, The Research Institute of the Finnish Economy.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Erlangs delay function; multi-server system; state dependent service times;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

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