Skip to main content
SpringerLink
Log in

Analysis of Retrial Queues for Cognitive Wireless Networks with Sensing Time of Secondary Users

  • Conference paper
  • First Online:
Queueing Theory and Network Applications (QTNA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11688))

Included in the following conference series:

Abstract

This paper considers a cognitive radio network system which has two classes of users that we call Primary Users and Secondary Users. We model this system using a single server retrial queueing model. In the conventional retrial queue, if a customer cannot find an idle channel, he joins the orbit and retries to occupy a channel. The new feature of our model is that every arriving Secondary User first enters the orbit. He starts to sense the channels and tries to find an idle channel. For this model, we obtain explicit expressions for the joint generating functions of the state of the server and the number of Secondary Users in the orbit. In addition, we derive the necessary stability condition. We obtain the distribution of the number of retrials by a Secondary User using simulation. Beside, we consider the multiserver model for which we obtain the average of the number of Secondary Users in the orbit and the distribution of the number of retrials by simulation.

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. Cognitive radio, efficiently utilizing white-space for communication. Web, 30 November 2018. (in Japanese), https://cend.jp/user/headline_technology/20180319.html

  2. What is cognitive radio? Indispensable technology for realizing ubiquitous. Web, 30 November 2018. (in Japanese), https://www.sbbit.jp/article/cont1/19899

  3. Keilson, J., Cozzolino, J., Young, H.: Service system with unfilled requests repeated. Oper. Res. 6, 1126–1137 (1968)

    Article  Google Scholar 

  4. Falin, G.I.: Aggregate arrival of customers in a one-line system with repeated calls. Ukrainian Math. J. 28, 437–440 (1975)

    Article  Google Scholar 

  5. Falin, G.I.: Waiting time in a single-channel queueing system with repeated calls. Moscow Univ. Comput. Math. Cybern. 4, 83–87 (1977)

    Google Scholar 

  6. Falin, G.I.: An M/G/1 system with repeated calls in heavy traffic. Moscow Univ. Comput. Math. Cybern. 6, 48–50 (1980)

    MathSciNet  MATH  Google Scholar 

  7. Falin, G.I.: On the waiting-time process in a single-line queue with repeated calls. J. Appl. Probab. 23, 185–192 (1986)

    Article  MathSciNet  Google Scholar 

  8. Konishi, Y., Masuyama, H., Kasahara, S., Takahashi, Y.: Performance analysis of dynamic spectrum handoff scheme with variable bandwidth demand of secondary users for cognitive radio networks. Wireless Netw. 19, 607–617 (2013)

    Article  Google Scholar 

  9. Salameh, O., De Turck, K., Bruneel, H., Blondia, C., Wittevrongel, S.: Analysis of secondary user performance in cognitive radio networks with reactive spectrum handoff. Telecommun. Syst. 65, 539–550 (2017)

    Article  Google Scholar 

  10. Artalejo, J.R., Phung-Duc, T.: Single server retrial queues with two way communication. Appl. Math. Model. 37(4), 1811–1822 (2013)

    Article  MathSciNet  Google Scholar 

  11. Artalejo, J.R., Phung-Duc, T.: Markovian retrial queues with two way communication. J. Ind. Manage. Optim. 8(4), 781–806 (2012)

    MathSciNet  MATH  Google Scholar 

  12. Sakurai, H., Phung-Duc, T.: Two-way communication retrial queues with multiple types of outgoing calls. TOP 23(2), 466–492 (2015)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

The research of Tuan Phung-Duc was supported in part by JSPS KAKENHI Grant Number 18K18006.

Author information

Authors and Affiliations

  1. Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, Japan

    Kohei Akutsu

  2. Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, Japan

    Tuan Phung-Duc

Authors
  1. Kohei Akutsu
    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. University of Tsukuba, Tsukuba, Japan

    Tuan Phung-Duc

  2. Nara Institute of Science and Technology, Nara, Japan

    Shoji Kasahara

  3. Ghent University, Ghent, Belgium

    Sabine Wittevrongel

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Akutsu, K., Phung-Duc, T. (2019). Analysis of Retrial Queues for Cognitive Wireless Networks with Sensing Time of Secondary Users. In: Phung-Duc, T., Kasahara, S., Wittevrongel, S. (eds) Queueing Theory and Network Applications. QTNA 2019. Lecture Notes in Computer Science(), vol 11688. Springer, Cham. https://doi.org/10.1007/978-3-030-27181-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-27181-7_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27180-0

  • Online ISBN: 978-3-030-27181-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation