Skip to main content
SpringerLink
Log in

Regenerative Analysis of Two-Way Communication Orbit-Queue with General Service Time

  • Conference paper
  • First Online:
Queueing Theory and Network Applications (QTNA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10932))

Included in the following conference series:

Abstract

In this paper, we apply a regenerative approach to reprove some recent steady-state results [1, 8, 9] for an orbit-queue (also known as retrial queue with a constant retrial rate) with outgoing calls. Stability conditions are discussed as well. Moreover, some generalizations of the model are also considered.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Aissani, A., Phung-Duc, T.: Profiting the idleness in single server system with orbit-queue. In: Proceedings of VALUETOOLS 2017, 5–7 December 2017, Venice, Italy (2017)

    Google Scholar 

  2. Aksin, Z., Armony, M., Mehrotra, V.: The modern call center: a multidisciplinary perspective on operations management research. Prod. Oper. Manag. 16, 665–688 (2007)

    Article  Google Scholar 

  3. Asmussen, S.: Applied Probability and Queues. Stochastic Modelling and Applied Probability, 2nd edn. Springer, New York (2003). https://doi.org/10.1007/b97236

    Book  MATH  Google Scholar 

  4. Feller, W.: An Introduction to Probability Theory, vol. 2. Wiley, New York (1971)

    MATH  Google Scholar 

  5. Morozov, E.: The tightness in the ergodic analysis of regenerative queueing processes. Queueing Syst. 27, 179203 (1997)

    Article  MathSciNet  Google Scholar 

  6. Morozov, E., Delgado, R.: Stability analysis of regenerative queues. Autom. Remote Control 70, 1977–1991 (2009)

    Article  MathSciNet  Google Scholar 

  7. Morozov, E., Phung-Duc, T.: Stability analysis of a multiclass retrial system with classical retrial policy. Perform. Eval. 112, 15–26 (2017)

    Article  Google Scholar 

  8. Phung-Duc, T., Rogiest, W., Takahashi, Y., Bruneel, H.: Retrial queues with balanced call blending: analysis of single-server and multiserver model. Annal. Oper. Res. 239, 429–449 (2016)

    Article  MathSciNet  Google Scholar 

  9. Sakurai, H., Phung-Duc, T.: Two-way communication retrial queues with multiple types of outgoing calls. TOP 23, 466–492 (2015)

    Article  MathSciNet  Google Scholar 

  10. Smith, W.L.: Regenerative stochastic processes. Proc. R. Soc. Ser. A 232, 6–31 (1955)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgement

The research of EM is partly supported by Russian Foundation for Basic Research, projects 18-07-00156 and 18-07-00147 and also by the Institute of Applied Mathematical Research, Karelian Research Centre RAS. The research of TP is partially supported by University of Tsukuba Basic Research Support Program Type A.

Author information

Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Centre of RAS, 11 Pushkinskaya Street, 185910, Petrozavodsk, Russia

    Evsey Morozov

  2. Petrozavodsk State University, Petrozavodsk, Russia

    Evsey Morozov

  3. Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan

    Tuan Phung-Duc

Authors
  1. Evsey Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tuan Phung-Duc
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tuan Phung-Duc .

Editor information

Editors and Affiliations

  1. Kyoto University, Kyoto, Japan

    Yutaka Takahashi

  2. University of Tsukuba, Tsukuba, Japan

    Tuan Phung-Duc

  3. Ghent University, Gent, Belgium

    Sabine Wittevrongel

  4. Konan University, Kobe, Japan

    Wuyi Yue

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Morozov, E., Phung-Duc, T. (2018). Regenerative Analysis of Two-Way Communication Orbit-Queue with General Service Time. In: Takahashi, Y., Phung-Duc, T., Wittevrongel, S., Yue, W. (eds) Queueing Theory and Network Applications. QTNA 2018. Lecture Notes in Computer Science(), vol 10932. Springer, Cham. https://doi.org/10.1007/978-3-319-93736-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-93736-6_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-93735-9

  • Online ISBN: 978-3-319-93736-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation