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Waiting time analysis of the M/G/1 queue with finite retrial group

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  • Jesus R. Artalejo
  • A. Gómez‐Corral

Abstract

We consider an M/G/1 retrial queue with finite capacity of the retrial group. First, we obtain equations governing the dynamic of the waiting time. Then, we focus on the numerical inversion of the density function and the computation of moments. These results are used to approximate the waiting time of the M/G/1 queue with infinite retrial group for which direct analysis seems intractable. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Jesus R. Artalejo & A. Gómez‐Corral, 2007. "Waiting time analysis of the M/G/1 queue with finite retrial group," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 524-529, August.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:5:p:524-529
    DOI: 10.1002/nav.20227
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    References listed on IDEAS

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    1. Grace M. Carter & Robert B. Cooper, 1972. "Queues with Service in Random Order," Operations Research, INFORMS, vol. 20(2), pages 389-405, April.
    2. A. G. de Kok, 1984. "Algorithmic Methods For Single Server Systems With Repeated Attempts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 38(1), pages 23-32, March.
    3. J.R. Artalejo & M. Pozo, 2002. "Numerical Calculation of the Stationary Distribution of the Main Multiserver Retrial Queue," Annals of Operations Research, Springer, vol. 116(1), pages 41-56, October.
    4. Xiaoyong Wu & Percy Brill & Myron Hlynka & Jinting Wang, 2005. "An M/G/1 retrial queue with balking and retrials during service," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(1/2), pages 30-51.
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    Cited by:

    1. Velika I. Dragieva & Tuan Phung-Duc, 2020. "A finite-source M/G/1 retrial queue with outgoing calls," Annals of Operations Research, Springer, vol. 293(1), pages 101-121, October.

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