Skip to main content

The Analytical Model of Complex Non-Full-Availability System

  • Conference paper
  • First Online:
Book cover Image Processing and Communications (IP&C 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1062))

Included in the following conference series:

Abstract

This paper presents an analytical model of a complex non-full-availability system. In systems of this type, non-full availability resources consist of a certain number of component elements, each of which being a non-full-availability system. During the study, the results obtained on the basis of the proposed model were compared with the results obtained in simulation experiments, which confirmed the correctness of the adopted theoretical assumptions. The model can be used to model complex networks/systems, such as cloud computing systems or data centers.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. CISCO: Cisco virtual networking index: forecast and methodology, 2015–2020 white paper. Technical report (2016)

    Google Scholar 

  2. Internet Society: Internet society global internet report 2015 mobile evolution and development of the internet. Technical report (2015)

    Google Scholar 

  3. Stasiak, M.: Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Ann. Telecommun. 48(1–2), 71–76 (1993)

    Google Scholar 

  4. Brockmeyer, E., Halstrom, H., Jensen, A.: The life and works of A.K. Erlang. Acta Polytechnika Scand. 6(287), 138–155 (1960)

    MATH  Google Scholar 

  5. Gła̧bowski, M., Hanczewski, S., Stasiak, M., Weissenberg, J.: Modeling Erlang’s ideal grading with multi-rate BPP traffic. Math. Probl. Eng. 2012, 35 (2012). Art ID 456910

    Google Scholar 

  6. Gła̧bowski, M.: Recurrent calculation of blocking probability in multiservice switching networks. In: Asia-Pacific Conference on Communications, Busan, pp. 1–5 (2006)

    Google Scholar 

  7. Hanczewski, S., Sobieraj, M., Stasiak, M.: The direct method of effective availability for switching networks with multi-service traffic. IEICE Trans. Commun. E99–B(6), 1291–1301 (2016)

    Article  Google Scholar 

  8. Gła̧bowski, M., Hanczewski, S., Stasiak, M.: Modelling of cellular networks with traffic overflow. Math. Probl. Eng. 2015, 15 (2015). Art ID 286490

    Google Scholar 

  9. Gła̧bowski, M., Hanczewski, S., Stasiak, M.: Modelling load balancing mechanisms in self-optimising 4G mobile networks with elastic and adaptive traffic. IEICE Trans. Commun. E99–B(8), 1718–1726 (2016)

    Article  Google Scholar 

  10. Roberts, J., Mocci, U., Virtamo, J.: Broadband network teletraffic. In: Final Report of Action COST 242. Commission of the European Communities. Springer, Berlin (1996)

    Google Scholar 

  11. Gła̧bowski, M., Kaliszan, A., Stasiak, M.: Modeling product-form state-dependent systems with BPP traffic. Perform. Eval. 67, 174–197 (2010)

    Article  Google Scholar 

  12. Hanczewski, S., Weissenberg, M.: Concept of an analytical model for cloud computing infrastructure. In: 11th International Symposium on Communication Systems, Networks & Digital Signal Processing, Budapest, pp. 1–4 (2018)

    Google Scholar 

Download references

Acknowledgments

The presented work has been funded by the Polish Ministry of Science and Higher Education within the status activity task “Structure, analysis and design of modern switching system and communication networks” (08/82/SBAD/8229) in 2019.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sławomir Hanczewski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Hanczewski, S., Stasiak, M., Weissenberg, M. (2020). The Analytical Model of Complex Non-Full-Availability System. In: Choraś, M., Choraś, R. (eds) Image Processing and Communications. IP&C 2019. Advances in Intelligent Systems and Computing, vol 1062. Springer, Cham. https://doi.org/10.1007/978-3-030-31254-1_33

Download citation

Publish with us

Policies and ethics