Abstract
In this paper we describe an approach for optimal dimensioning of multi-service lines. The solution presented is based on the method to convert recursions for global state probabilities of multi-service models into stable form. The suggested approach is numerically stable because it deals with normalised values of global state probabilities used for estimation of main stationary performance measures.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Iversen, V.B. & Stepanov, S. N. The unified approach for teletraffic models to convert recursions for global state probabilities into stable form. Paper presented at IYTC 19, Beijing, China, august 29–September 2, 2005. Participants proceedings, pp. 1559–1570.
Stepanov, S.N. & Iversen, V.B. & Kostrov, V. O. Optimised Dimensioning of Large Bandwidth Resources Under MPLS Technology. Proc. of St. Petersburg Regional International Teletraffic Seminar on Telecommunication Network and Teletraffic Theory. St. Petersburg, Russia. January 2002, pp. 50–63.
Iversen, V. B. Teletraffic Engineering and Network Planning. Chapter 10. Multi-dimensional Loss Systems. http.//www.com.dtu.dk/education/34340/material/telenook.pdf. COM, Technical University of Denmark. 2006. 350 pp.
Nilsson, A. & Perry, M. MultiRate Blocking Probabilities, numerically stable computations. ITC 15, Fifteenth International Teletraffic Congress, Washington, DC, USA, Elsevier, 1997, pp. 1359–1368.
Nilsson, A. & Perry, M. & Gersht, A. & Iversen, V.B. On Multi-Rate Erlang-B Computations. ITC 16, Sixteenth International Teletra_c Congress, Edinburgh, UK, June 1999. Elsevier 1999. pp. 1051–1060.
Berezner, S.A. & Krzesinski, A. E. An Efficient Stable Recursion to Compute Multi-service Blocking Probabilities. Performance Evaluation. Vol. 43 (2001). 151–164.
Fortet, R. & Grandjean, Ch. Congestion in a Loss System when Some Calls want Several Devices Simultaneously. Electrical Communications, Vol. 39 (1964). 4, 513–526. Paper presented at ITC-4, Fourth International Teletraffic Congress, London, UK, 15–21 July 1964.
Kaufman, J. S. Blocking in a Shared Resource Environment. IEEE Transactions on Communications, Vol. COM-29 (1981). 10, 1474–1481.
Roberts, J. W. A Service System with Heterogeneous User Requirements-Applications to Multi-Service Telecommunication Systems. Pages 423-431 in Performance of Data Communication Systems and their Applications. G. Pujolle (editor), North-Holland Publ. Co. 19
Delbrouck, L. E. N. On the Steady-State Distribution in a Service Facility carrying Mixtures of Traffic with Different Peakedness Factor and Capacity Requirements. IEEE Transactions on Communications, Vol. COM-31 (1983). 11, 1209–1211.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, LLC
About this paper
Cite this paper
Iversen, V.B., Stepanov, S.N. (2006). The Optimal Dimensioning Of Multi-Service Links. In: Nejat Ince, A., Topuz, E. (eds) Modeling and Simulation Tools for Emerging Telecommunication Networks. Springer, Boston, MA . https://doi.org/10.1007/0-387-34167-6_7
Download citation
DOI: https://doi.org/10.1007/0-387-34167-6_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-32921-5
Online ISBN: 978-0-387-34167-5
eBook Packages: Computer ScienceComputer Science (R0)