Skip to main content
SpringerLink
Log in

Retrial queues with generally distributed retrial times

  • Published:
Queueing Systems Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Altman, E., Borovkov, A.A.: On the stability of retrial queues. Queueing Syst. 26(3–4), 343–363 (1997)

    Article  Google Scholar 

  2. Anderson, D., Blom, J., Mandjes, M., Thorsdottir, H., de Turck, K.: A functional central limit theorem for a Markov-modulated infinite-server queue. Methodol. Comput. Appl. Probab. 18(1), 153–168 (2016)

    Article  Google Scholar 

  3. Asare, B.K., Foster, F.G.: Conditional response times in the M/G/1 processor-sharing system. J. Appl. Probab. 20(4), 910–915 (1983)

    Article  Google Scholar 

  4. Bongers, P.: Queuing on a continuous circle, a mathematical analysis of a void-avoiding optical fiber-loop. Master’s thesis, University of Amsterdam (2017)

  5. De Vuyst, S., Wittevrongel, S., Bruneel, H.: Mean value and tail distribution of the message delay in statistical multiplexers with correlated train arrivals. Perform. Eval. 48(1–4), 103–129 (2002)

    Article  Google Scholar 

  6. Diamond, J.E., Alfa, A.S.: Approximation method for M/PH/1 retrial queues with phase type inter-retrial times. Eur. J. Oper. Res. 113(3), 620–631 (1999)

    Article  Google Scholar 

  7. Fiems, D., Dorsman, J.-P.L., Rogiest, W.: Analysing queueing behaviour in void-avoiding fibre-loop optical buffers. Perform. Eval. 103, 23–40 (2016)

    Article  Google Scholar 

  8. Kernane, T.: Conditions for stability and instability of retrial queueing systems with general retrial times. Stat. Probab. Lett. 78(18), 3244–3248 (2008)

    Article  Google Scholar 

  9. Liang, H.-M., Kulkarni, V.G.: Stability condition for a single-server retrial queue. Adv. Appl. Probab. 25(3), 690–701 (1993)

    Article  Google Scholar 

  10. Pourbabai, B.: Tandem behavior of a telecommunication system with repeated calls: II. A general-case without buffers. Eur. J. Oper. Res. 65(2), 247–258 (1993)

    Article  Google Scholar 

  11. Shin, Y.W., Moon, D.H.: Approximation of M/M/c retrial queue with PH-retrial times. Eur. J. Oper. Res. 213, 205–209 (2011)

    Article  Google Scholar 

  12. Shin, Y.W., Moon, D.M.: Approximation of Ph/Ph/c retrial queue with Ph-retrial time. Asia Pac. J. Oper. Res. 31(2), 205–209 (2014)

    Article  Google Scholar 

  13. Yang, T., Posner, M.J.N., Templeton, J.G.C., Li, H.: An approximation method for the M/G/1 retrial queue with general retrial times. Eur. J. Oper. Res. 76(3), 552–562 (1994)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Telecommunications and Information Processing, Ghent University, Ghent, Belgium

    Dieter Fiems

Authors
  1. Dieter Fiems
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dieter Fiems.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fiems, D. Retrial queues with generally distributed retrial times. Queueing Syst 100, 189–191 (2022). https://doi.org/10.1007/s11134-022-09793-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11134-022-09793-4

Search

Navigation