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Mean Value Analysis Of Single Server Retrial Queues

Author

Listed:
  • J. R. ARTALEJO

    (Department of Statistics and Operations Research, Faculty of Mathematics, Universidad Complutense of Madrid, 28040 Madrid, Spain)

  • J. A. C. RESING

    (Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands)

Abstract

Mean value analysis is an elegant tool for determining mean performance measures in queueing models. In this paper we show how mean value analysis can be applied to retrial queues. First, we illustrate the technique for the standardM/G/1retrial queue with exponential retrial times. After that we show how the relations can be adapted to obtain mean performance measures in more advancedM/G/1-type retrial queues.

Suggested Citation

  • J. R. Artalejo & J. A. C. Resing, 2010. "Mean Value Analysis Of Single Server Retrial Queues," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(03), pages 335-345.
    • Handle: RePEc:wsi:apjorx:v:27:y:2010:i:03:n:s0217595910002739
    DOI: 10.1142/S0217595910002739
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    Citations

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    Cited by:

    1. Sofiane Ouazine & Karim Abbas, 2016. "A functional approximation for retrial queues with two way communication," Annals of Operations Research, Springer, vol. 247(1), pages 211-227, December.
    2. Se Won Lee & Bara Kim & Jeongsim Kim, 2022. "Analysis of the waiting time distribution in M/G/1 retrial queues with two way communication," Annals of Operations Research, Springer, vol. 310(2), pages 505-518, March.
    3. Muthukrishnan Senthil Kumar & Aresh Dadlani & Kiseon Kim, 2020. "Performance analysis of an unreliable M/G/1 retrial queue with two-way communication," Operational Research, Springer, vol. 20(4), pages 2267-2280, December.

    More about this item

    Keywords

    Retrial queue; mean value analysis;

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