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Queueing Systems

, Volume 9, Issue 1–2, pp 17–27 | Cite as

Effective bandwidths for the multi-type UAS channel

  • R. J. Gibbens
  • P. J. Hunt
Article

Abstract

The Uniform Arrival and Service (UAS) model is one of several appropriate to modelling traffic offered to a multi-service communication channel. We exhibit, via asymptotics and a range of specific examples, that it is possible to assign a notionaleffective bandwidth to each source, dependent not only on its mean bandwidth but also on its burstiness and on the channel. The effective bandwidth can be calculated quickly and efficiently using the results of Anick, Mitra and Sondhi and reduces the multi-service network to the more familar, and well understood, form of a traditional circuit-switched network.

Keywords

ATM networks large deviations UAS channels 

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References

  1. [1]
    D. Anick, D. Mitra and M.M. Sondhi, Stochastic theory of a data-handling system with multiple sources, Bell Sys. Tech. J. 61 (1982).Google Scholar
  2. [2]
    J. Appleton, Modelling a connection acceptance strategy for asychronous transfer mode networks,Int. Teletraffic Congress, 7th Specialist Seminar, Morristown, NJ (1990).Google Scholar
  3. [3]
    J.N. Daigle and J.D. Langford, Models for analysis of packet voice communication systems, IEEE J. Selected Areas in Commun. SAC-4 (1986).Google Scholar
  4. [4]
    A.I. Elwalid, D. Mitra and T.E. Stern, A theory of statistical multiplexing of Markovian sources: spectral expansions and algorithms,Proc. 13th Int. Teletraffic Congress, Copenhagen, Denmark (1991).Google Scholar
  5. [5]
    R.J. Gibbens, P.J. Hunt and F.P. Kelly, On models of buffering, paper in preparation (1991).Google Scholar
  6. [6]
    T.R. Griffiths, Analysis of connection acceptance strategies in asynchronous transfer mode networks,Globecom '90 (1990).Google Scholar
  7. [7]
    J.Y. Hui, Resource allocation for broadband networks, IEEE J. Selected Areas in Commun. 6 (1988).Google Scholar
  8. [8]
    P.J. Hunt, Asymptotic behaviour of an integrated video-data network, to appear in Prob. Eng. Inf. Sci. (1991).Google Scholar
  9. [9]
    F.P. Kelly, Effective bandwidths at multi-type queues, this issue.Google Scholar
  10. [10]
    F.P. Kelly, Blocking probabilites in large circuit-switched networks, Adv. Appl. Prob. 20 (1986) 112–44.Google Scholar
  11. [11]
    L. Koten, Stochastic theory of data handling systems with groups of multiple sources,Proc. 2nd Int. Symp. on the Performance of Computer Communication Systems, eds. H. Rudin and W. Bux (North-Holland, 1984).Google Scholar
  12. [12]
    B. Maglaris, D. Anastassiou, P. Sen, G. Karlsson and J.D. Robbbins, Performance models of statistical multiplexing in packet video communications, IEEE Trans. Commun. COM-36 (1988).Google Scholar
  13. [13]
    D. Mitra, Stochastic theory of a fluid model of producers and consumers coupled by a buffer, Adv. Appl. Prob. 20 (1988) 646–676.Google Scholar
  14. [14]
    A. Weiss, A new technique for analyzing large traffic systems, Adv. Appl. Prob. 18 (1986) 506–532.Google Scholar

Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1991

Authors and Affiliations

  • R. J. Gibbens
    • 1
  • P. J. Hunt
    • 1
  1. 1.Statistical LaboratoryUniversity of CambridgeCambridgeEngland

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