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Queuing Systems with Semi-Markov Flow in Average and Diffusion Approximation Schemes

Author

Listed:
  • V. S. Koroliuk

    (Ukrainian National Academy of Science)

  • V. V. Koroliuk

    (Ukrainian National Academy of Science)

  • N. Limnios

    (Université de Technologie de Compiègne)

Abstract

We study asymptotic average and diffusion approximation schemes for semi-Markov queuing systems by a random evolution approach and using compensating operator of the corresponding extended Markov renewal process. These results generalize Markov and renewal flow queuing systems.

Suggested Citation

  • V. S. Koroliuk & V. V. Koroliuk & N. Limnios, 2009. "Queuing Systems with Semi-Markov Flow in Average and Diffusion Approximation Schemes," Methodology and Computing in Applied Probability, Springer, vol. 11(2), pages 201-209, June.
    • Handle: RePEc:spr:metcap:v:11:y:2009:i:2:d:10.1007_s11009-008-9081-7
    DOI: 10.1007/s11009-008-9081-7
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    References listed on IDEAS

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    1. Ward Whitt, 2004. "A Diffusion Approximation for the G/GI/n/m Queue," Operations Research, INFORMS, vol. 52(6), pages 922-941, December.
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