Skip to main content

On Mean Return Time in Queueing System with Constant Service Time and Bi-level Hysteric Policy

  • Conference paper

Part of the Communications in Computer and Information Science book series (CCIS,volume 356)

Abstract

Single server queueing system with two Poisson input flows of rate λ 1 and λ 2, finite queue of size R − 1 < ∞ and bi-level hysteretic policy is considered. Customers of λ 1 flow are served with relative priority. Customers of both flows are served with the same constant service time. Bi-level hysteretic policy implies that system may be in three states (normal, overload, blocking), depending on the total number of customers present in it. New method for calculation of mean return time to normal operation state is proposed.

Keywords

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. ITU-T Recommendation Q.704. Signalling System No.7 – Message Transfer Part, Signalling network functions and messages (1996)

    Google Scholar 

  2. Abaev, P., Gaidamaka, Y., Pechinkin, A., Razumchik, R., Shorgin, S.: Simulation of overload control in SIP server networks. In: Proc. of the 26th European Conference on Modelling and Simulation, pp. 533–539 (2012)

    Google Scholar 

  3. Hilt, V., Noel, E., Shen, C., Abdelal, A.: Design Considerations for Session Initiation Protocol (SIP) Overload Control. RFC6357 (2011)

    Google Scholar 

  4. Abaev, P., Pechinkin, A., Razumchik, R.: Analysis of queueing system with constant service time for SIP server hop-by-hop overload control. In: Dudin, A., et al. (eds.) BWWQT 2012. CCIS, vol. 356. Springer, Heidelberg (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Abaev, P., Pechinkin, A., Razumchik, R. (2013). On Mean Return Time in Queueing System with Constant Service Time and Bi-level Hysteric Policy. In: Dudin, A., Klimenok, V., Tsarenkov, G., Dudin, S. (eds) Modern Probabilistic Methods for Analysis of Telecommunication Networks. BWWQT 2013. Communications in Computer and Information Science, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35980-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35980-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35979-8

  • Online ISBN: 978-3-642-35980-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics