Skip to main content

Approximation for Multi-service Systems with Reservation by Systems with Limited-Availability

  • Conference paper
Computer Performance Engineering (EPEW 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5261))

Included in the following conference series:

Abstract

The paper presents a new method for modeling systems with reservation. The method is based on the generalized ideal grading model servicing multi-rate traffic. The paper proposes an algorithm for determining such an availability value in the ideal grading that causes blocking equalization of different classes of calls. The proposed method was worked out for integer and non-integer values of the availability parameters. A comparison of the analytical results with the simulation data proves high accuracy of the proposed method.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Brockmeyer, E., Halstrom, H., Jensen, A.: The life and works of A. K. Erlang. Acta Polytechnica Scandinavica 287 (1960)

    Google Scholar 

  2. Lotze, A.: History and development of grading theory. In: 5th International Teletraffic Congress, New York, pp. 148–161 (1967)

    Google Scholar 

  3. Ershova, E.B., Ershov, V.A.: Cifrowyje sistiemy raspriedielenia informacji. Radio i swiaz, Moscow (1983) (in Russian)

    Google Scholar 

  4. Stasiak, M.: Blocage interne point a point dans les reseaux de connexion. Ann. Telecommun. 43, 561–575 (1988)

    Google Scholar 

  5. Hanczewski, S., Stasiak, M.: Point-to-group blocking in 3-stage switching networks with multicast traffic streams. In: Dini, P., Lorenz, P., de Souza, J.N. (eds.) SAPIR 2004. LNCS, vol. 3126, pp. 219–230. Springer, Heidelberg (2004)

    Google Scholar 

  6. Kaufman, J.S.: Blocking in shared resource environment. IEEE Transactions on Communications 29, 1474–1481 (1981)

    Article  Google Scholar 

  7. Roberts, J.W.: A service system with heterogeneous user requirements. Performance of data communications systems and their applications. Nort Holland Pub. Co., Amsterdam (1981)

    Google Scholar 

  8. Stasiak, M.: An approximate model of a switching network carrying mixture of different multichannel traffic streams. IEEE Transactions on Communications 41, 836–840 (1993)

    Article  MATH  Google Scholar 

  9. Beshai, M., Manfield, D.: Multichannel services performance of switching networks. In: 12th International Teletraffic Congress, Torino, Italy, pp. 857–864 (1988)

    Google Scholar 

  10. Stasiak, M.: Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Annals of Telecommunications 48, 71–76 (1993)

    Google Scholar 

  11. Stasiak, M., Glabowski, M.: A simple approximation of the link model with reservation by a one-dimensional Markov chain. Journal of Performance Evaluation 41, 195–208 (2000)

    Article  MATH  Google Scholar 

  12. Roberts, J.W., Mocci, V., Virtamo, I. (eds.): Broadband Network Teletraffic. Final Report of Action COST 242. Commission of the European Communities. Springer, Heidelberg (1996)

    Google Scholar 

  13. Roberts, J.W. (ed.): Performance Evaluation and Design of Multiservice Networks. Final Report COST 224. Commission of the European Communities (1992)

    Google Scholar 

  14. Roberts, J.W.: Teletraffic models for the Telcom 1 integrated services network. In: 10th International Teletraffic Congress, Montreal, Canada, p. 1.1.2 (1983)

    Google Scholar 

  15. Tran-Gia, P., Hubner, F.: An analysis of trunk reservation and grade of service balancing mechanisms in multiservice broadband networks. In: International Teletraffic Congress Seminar: Modeling and Performance evaluation of ATM technology, La Martynique, pp. 83–97 (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Nigel Thomas Carlos Juiz

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stasiak, M., Hanczewski, S. (2008). Approximation for Multi-service Systems with Reservation by Systems with Limited-Availability. In: Thomas, N., Juiz, C. (eds) Computer Performance Engineering. EPEW 2008. Lecture Notes in Computer Science, vol 5261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87412-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87412-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87411-9

  • Online ISBN: 978-3-540-87412-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics