skip to main content
10.1145/1080829.1080852acmconferencesArticle/Chapter ViewAbstractPublication PagesmobicomConference Proceedingsconference-collections
Article

An analytical model for the dimensioning of a GPRS/EDGE network with a capacity constraint on a group of cells

Published: 28 August 2005 Publication History

Abstract

This paper is a contribution to the generic problem of having simple and accurate models to dimension radio cells with data traffic on a GPRS or EDGE network. It addresses the issue of capacity limitation in a given cell due to coupling with other cells because of a central equipment or transmission link of limited capacity. A mobile station can't access the requested resource although it is alone in a cell. The traffic on other coupled cells leads to reach the global capacity limit. Our objective is to avoid the derivation of any multi-dimensional Markovian (or semi-Markovian) model, where each dimension corresponds to a given cell of the system. Such direct extensions would be of non-manageable complexity. Instead we derive an analytical model that captures in an aggregate way the coupling between cells. We show that the performance parameters of the GPRS/EDGE network can be derived quickly and with a very good accuracy. Finally, as our modeling framework allows very fast computations, we show how to use it to perform complex iterative dimensioning studies.

References

[1]
B. Baynat, K. Boussetta, P. Eisenmann, and N. Ben Rached. A discrete-time Markovian model for GPRS/EDGE radio engineering with finite-length sessions traffic. In International Symposium on Performance Evaluation of Computer and Telecommunication Systems (SPECTS'04), May 2004.
[2]
B. Baynat, K. Boussetta, P. Eisenmann, and N. Ben Rached. Towards an Erlang-Like formula for the performance evaluation of GPRS/EDGE networks with finite-length sessions. In 3rd IFIP-TC6 Networking Conference, May 2004.
[3]
B. Baynat, K. Boussetta, P. Eisenmann, and S. Trabelsi. Extended Erlang-B law for performance evaluation of voice/data policies in GSM/(E)GPRS Networks. In Proc of IEEE PIMRC, September 2005.
[4]
B. Baynat and P. Eisenmann. An Erlang-Like formula for GPRS/EDGE network engineering. In Technical report. Nortel Networks - LIP6, 2003.
[5]
B. Baynat and P. Eisenmann. Towards an Erlang-Like formula for GPRS/EDGE network engineering. In IEEE International Conference on Communications (ICC), June 2004.
[6]
S. Ben Fredj, T. Bonald, Proutiere, G. A. Regnie, and J. Roberts. Statistical bandwidth sharing: A Study of congestion at flow level. In ACM Sigcomm, 2001.
[7]
A. Berger and Y. Kogan. Dimensioning bandwidth for elastic traffic in high-speed data networks. In IEEE/ACM Trans. Networks, pages 643--654, October 2000.
[8]
S. Bruel and G. Balbo. Computational Algorithms for Closed Queuing Networks, Operating and programming systems series. P.J. Denning ed., New York, Oxford: North-Holland, 1980.
[9]
J. Cai and D. Goodman. General Packet Radio Service in GSM. In IEEE Comm. Magazine, pages 122--131, October 1997.
[10]
Y. Chung, D. Sung, and H. Aghvami. Steady State Analysis of Mobile Station State Transitions for General Packet Radio Service. In Proc of IEEE PIMRC, September 2002.
[11]
Fang and D. Ghosal. Performance Modeling and QoS Evaluation of MAC/RLC Layer in GSM/GPRS Networks. In Proc. of IEEE International Conference on Communications, May 2003.
[12]
C. H. Foh, B. Meini, B. Wydrowski, and M. Zukerman. Modeling and Performance Evaluation of GPRS. In Proc. of IEEE VTC, May 2001.
[13]
D. Heyman, T. Lakshman, and A. Neidhardt. New method for analyzing feedback protocols with applications to engineering web traffic over the internet. In Proc. of the ACM Sigmetrics, 1997.
[14]
C. Lindemann and A. Thummler. Performance Analysis of the General Packet Radio Service. In Computer Networks, pages 1--17, January 2003.
[15]
M. Mahdavi, R. Edwards, and P. Ivey. Performance Evaluation of a Data Subsystem in GSM/GPRS Using Complete Sharing of Available Bandwidth. In London Communications Symposium, 2001.
[16]
M. A. Marsan, P. Laface, and M. M. Packet Delay Analysis in GPRS Systems. In IEEE INFOCOM, 2003.
[17]
S. Ni and S. Haggman. GPRS performance estimation in GSM voice and GPRS shared resource system. In Proc. of IEEE Wireless Communication and Networking Conference(WCNC), pages 1417--1421, 1999.
[18]
G. Nogueira, B. Baynat, and P. Eisenmann. Asymptotic behavior of a GPRS/EDGE network with several cells controlled by a global capacity limit. In XIth International Symposium on Applied Stochastic Models and Data Analysis (ASMDA), May 2005.
[19]
M. Oliver and C. Ferrer. Overview and Capacity of the GPRS (General Packet Radio Service). In Proc. of PIMRC'98, 1998.
[20]
S. Pedraza, J. Romero, and J. Munoz. (E)GPRS Hardware Dimensioning Rules with Minimum Quality Criteria. In Vehicular Technology Conference, pages 391--395, 2002.
[21]
P. Stuckmann and F. Muller. GPRS Radio network capacity considering coexisting circuit switched traffic sources. In European conference on wireless technologie, 2000.
[22]
P. Stuckmann and O. Paul. Dimensioning Rules for GSM/GPRS Networks. In Proc.of the Aachen Symposium on Signal Theory, pages 169--174, 2001.
[23]
U. Vornefeld. Analytical Performance Evaluation of Mobile Internet Access via GPRS Networks. In European Wireless, February 2002.

Cited By

View all
  • (2022)Analytical Performance Modeling for Computer SystemsundefinedOnline publication date: 19-Mar-2022
  • (2019)Lessons from Teaching Analytical Performance ModelingCompanion of the 2019 ACM/SPEC International Conference on Performance Engineering10.1145/3302541.3311527(79-84)Online publication date: 27-Mar-2019
  • (2008)The limits of theory: Pragmatic challenges in mobile ad hoc systems2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications10.1109/PIMRC.2008.4699945(1-6)Online publication date: Sep-2008
  • Show More Cited By

Index Terms

  1. An analytical model for the dimensioning of a GPRS/EDGE network with a capacity constraint on a group of cells

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image ACM Conferences
      MobiCom '05: Proceedings of the 11th annual international conference on Mobile computing and networking
      August 2005
      325 pages
      ISBN:1595930205
      DOI:10.1145/1080829
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Sponsors

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 28 August 2005

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. EDGE
      2. Erlang
      3. GPRS
      4. Markov chain
      5. dimensionning
      6. global capacity limit
      7. modeling
      8. performance evaluation

      Qualifiers

      • Article

      Conference

      MobiCom05
      Sponsor:

      Acceptance Rates

      Overall Acceptance Rate 440 of 2,972 submissions, 15%

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)0
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 08 Mar 2025

      Other Metrics

      Citations

      Cited By

      View all
      • (2022)Analytical Performance Modeling for Computer SystemsundefinedOnline publication date: 19-Mar-2022
      • (2019)Lessons from Teaching Analytical Performance ModelingCompanion of the 2019 ACM/SPEC International Conference on Performance Engineering10.1145/3302541.3311527(79-84)Online publication date: 27-Mar-2019
      • (2008)The limits of theory: Pragmatic challenges in mobile ad hoc systems2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications10.1109/PIMRC.2008.4699945(1-6)Online publication date: Sep-2008
      • (2006)A Measurement Based Solution for Service Quality Assurance in Operational GPRS NetworksProceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications10.1109/INFOCOM.2006.283(1-12)Online publication date: Apr-2006

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Figures

      Tables

      Media

      Share

      Share

      Share this Publication link

      Share on social media