Skip to main content
SpringerLink
Log in

Modeling and Analysis of a Relay-Assisted Cooperative Cognitive Network

  • Conference paper
  • First Online:
Analytical and Stochastic Modelling Techniques and Applications (ASMTA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10378))

Abstract

We investigate a novel queueing system that can be used to model relay-assisted cooperative cognitive networks with coupled relay nodes. Consider a network of two saturated source users that transmit packets towards a common destination node under the cooperation of two relay nodes. The destination node forwards packets outside the network, and each source user forwards its blocked packets to a dedicated relay node. Moreover, when the transmission of a packet outside the network fails, either due to path-loss, fading or due to a hardware/software fault in the transmitter of the destination node, the failed packet is forwarded to a relay node according to a probabilistic policy. In the latter case a recovery period is necessary for the destination node in order to return in an operating mode. Relay nodes have infinite capacity buffers, and are responsible for the retransmission of the blocked/failed packets. Relay nodes have cognitive radio capabilities, and there are fully aware about the state of the other. Taking also into account the wireless interference, a relay node adjusts its retransmission parameters based on the knowledge of the state of the other. We consider a three-dimensional Markov process, investigate its stability, and study its steady-state performance using the theory of boundary value problems. Closed form expressions for the expected delay are also obtained in the symmetrical model.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Notes

  1. 1.

    Note that our analysis is not affected in case we considered more than two source users. However, it cannot be applied when we considered \(N>2\) relay nodes. However, some basic performance metrics and some bounds on the stability conditions can also be obtained; see [9].

  2. 2.

    The packet success probabilities depend on interference, power etc., and they are commonly determined by the signal to interference plus noise ratio (SINR) threshold model [17, 18].

  3. 3.

    A technical assumption to avoid normalizing the one step transition probabilities.

References

  1. Avrachenkov, K., Nain, P., Yechiali, U.: A retrial system with two input streams and two orbit queues. Queueing Syst. 77, 1–31 (2014)

    Article  MathSciNet  Google Scholar 

  2. Cohen, J.W., Boxma, O.: Boundary Value Problems in Queueing Systems Analysis. North Holland Publishing Company, Amsterdam (1983)

    MATH  Google Scholar 

  3. Bing, B.: Emerging Technologies in Wireless LANs: Theory, Design, and Deployment. Cambridge University Press, New York (2007)

    Book  Google Scholar 

  4. Bonald, T., Borst, S., Hegde, N., Proutiere, A.: Wireless data performance in multi-cell scenarios, In: Proceedings of ACM Sigmetrics/Performance 2004, pp. 378–388. ACM, New York (2004)

    Article  Google Scholar 

  5. Borst, S., Jonckheere, M., Leskela, L.: Stability of parallel queueing systems with coupled service rates. Discrete Event Dyn. Syst. 18(4), 447–472 (2008)

    Article  MathSciNet  Google Scholar 

  6. Cover, M., Gamal, A.: Capacity theorems for the relay channel. IEEE Trans. Infor. Theory 25(5), 572–584 (1979)

    Article  MathSciNet  Google Scholar 

  7. Dimitriou, I.: A queueing model with two types of retrial customers and paired services. Ann. Oper. Res. 238(1), 123–143 (2016)

    Article  MathSciNet  Google Scholar 

  8. Dimitriou, I.: A two class retrial system with coupled orbit queues. Probab. Eng. Inf. Sci. 31(2), 139–179 (2017)

    Article  MathSciNet  Google Scholar 

  9. Dimitriou, I.: A queueing system for modeling cooperative wireless networks with coupled relay nodes and synchronized packet arrivals. Perform. Eval. (2017). doi:10.1016/j.peva.2017.04.002

    Article  Google Scholar 

  10. Dimitriou, I.: A retrial queue to model a two-relay cooperative wireless system with simultaneous packet reception. In: Wittevrongel, S., Phung-Duc, T. (eds.) ASMTA 2016. LNCS, vol. 9845, pp. 123–139. Springer, Cham (2016). doi:10.1007/978-3-319-43904-4_9

    Chapter  MATH  Google Scholar 

  11. Fayolle, G., Iasnogorodski, R., Malyshev, V.: Random Walks in the Quarter-Plane, Algebraic Methods, Boundary Value Problems and Applications. Springer-Verlag, Berlin (2017)

    MATH  Google Scholar 

  12. Gakhov, F.D.: Boundary Value Problems. Pergamon Press, Oxford (1966)

    Book  Google Scholar 

  13. Haykin, S.: Cognitive radio: brain-empowered wireless communications. IEEE J. Sel. Areas Commun. 23, 201–220 (2005)

    Article  Google Scholar 

  14. Liu, K., Sadek, A., Su, W., Kwasinski, A.: Cooperative Communications and Networking. Cambridge University Press, Cambridge (2008)

    Book  Google Scholar 

  15. Mitola, J., Maguire, G.: Cognitive radio: making software radios more personal. IEEE Pers. Commun. 6(4), 13–18 (1999)

    Article  Google Scholar 

  16. Nosratinia, A., Hunter, T.E., Hedayat, A.: Cooperative communication in wireless networks. Comm. Mag. 42(10), 74–80 (2004)

    Article  Google Scholar 

  17. Pappas, N., Kountouris, M., Ephremides, A., Traganitis, A.: Relay-assisted multiple access with full-duplex multi-packet reception. IEEE Trans. Wirel. Commun. 14, 3544–3558 (2015)

    Article  Google Scholar 

  18. Sadek, A., Liu, K., Ephremides, A.: Cognitive multiple access via cooperation: protocol design and performance analysis. IEEE Trans. Inf. Theory 53(10), 3677–3696 (2007)

    Article  MathSciNet  Google Scholar 

  19. Sendonaris, A., Erkip, E., Aazhang, B.: User cooperation diversity-Part I: system description. IEEE Trans. Commun. 51, 1927–1938 (2003)

    Article  Google Scholar 

  20. Resing, J., Ormeci, L.: A tandem queueing model with coupled processors. Oper. Res. Lett. 31, 383–389 (2003)

    Article  MathSciNet  Google Scholar 

  21. Van Leeuwaarden, J., Resing, J.: A tandem queue with coupled processors: computational issues. Queueing Syst. 50, 29–52 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgment

The author is grateful to the PC chairs and the anonymous referees for the valuable remarks, from which the presentation of the paper has benefited. He would also like to thank Dr. N. Pappas (Linköping University, Sweden), and Dr. T. Phung-Duc (University of Tsukuba, Japan) for their valuable comments.

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Patras, 26500, Patras, Greece

    Ioannis Dimitriou

Authors
  1. Ioannis Dimitriou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ioannis Dimitriou .

Editor information

Editors and Affiliations

  1. School of Computing Science, Newcastle University, Newcastle upon Tyne, UK

    Nigel Thomas

  2. School of Computing Science, Newcastle University, Newcastle upon Tyne, UK

    Matthew Forshaw

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Dimitriou, I. (2017). Modeling and Analysis of a Relay-Assisted Cooperative Cognitive Network. In: Thomas, N., Forshaw, M. (eds) Analytical and Stochastic Modelling Techniques and Applications. ASMTA 2017. Lecture Notes in Computer Science(), vol 10378. Springer, Cham. https://doi.org/10.1007/978-3-319-61428-1_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-61428-1_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61427-4

  • Online ISBN: 978-3-319-61428-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation