Skip to main content
SpringerLink
Log in

Performance of Queueing Model of one UMTS Cell with R Virtual Zones by the Maximum Entropy Solution

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

UMTS stands for Universal Mobile Telecommunications System, which is one of the third generation (i.e., 3G) cellular systems, will come into full commercial phase by year 2005 and the first UMTS services are launched commercially in 2001. Therefore, the research of UMTS is an important and urgent task. In this paper, the performance of UMTS systems is studied through a queueing model which consists of one UMTS with many virtual zones to evaluate the system uplink traffic performance. The two performance measures: blocking probability and system utilization are obtained by the Maximum Entropy Principle, i.e., ME solutions for S RXR (GGeo/GGeo/1)/N queue. S RXR (GGeo/GGeo/1)/N system means that arrival time and service time are both GGeo (Generalized Geometric) distributed, each output port has a single server and the maximum capacity is N. After the theoretical analysis, the numerical results are found for the idiographic example, 8×8 (GGeo/GGeo/1)/512 queueing model. Additionally, the performance of this queueing model is discussed with the effect of the parameters Ca 2 (squared coefficient of variation of the interarrival time), Cs 2 (squared coefficient of variation of the service time) and the arrival rate, λ.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Schueller, K. Begain, M. Ermel, T. Mueller, and M. Schweigel, “Performance Analysis of a Single UMTS Cell”, in Proceedings of the European Wireless Conference, Dresden, Germany, pp. 281–286, 13–14, September 2000.

    Google Scholar 

  2. A.H. Aghvami, “Digital Mobile and Personal Communication Systems”, Lecture Notes, King's College London, Vol. 2, 1994.

    Google Scholar 

  3. Flavior Muratore, UMTS: Mobile Communications for the Future, pp. 11–13, 103–139, 2001.

  4. H. Holma and A. Toskala, WCDMA For UMTS: Radio Access for Third Generation Mobile Communications, John Wiley & Sons, pp. 53–71, 2000.

  5. K. Begain and A.I. Zreikat, “Interference Based CAC for Up-Link Traffic in UMTS Networks”, in Proceedings of World Wireless Congress, San Francisco, USA, pp. 298–303, June 2002.

  6. R. Verdone and A. Zanella, “Performance of Received Power and Traffic Driven Handover Algorithms in Urban Cellular Networks”, IEEE Wireless Communications, Vol. 9, No. 1, pp. 60–71, February 2002.

    Article  Google Scholar 

  7. S. Asari, P. Ho, A. Jalan, and N. Velayudhan, “Performamce Analysis of a Forward Link in a Power Controlled CDMA Network”, in Proceedings of Vehicular Technology Conference, VTC'97, Vol. 3, pp. 2118–2122, 4–7 May 1997.

    Google Scholar 

  8. V.P. Van and S. Glisic, “Performance Analysis of Queueing Schemes for Priority Handoff and Call Admission Control in Mobile Cellular Radio Networks”, IEEE Journal on Selected Areas in Communications, JSAC'98, Vol. 16, No. 6, pp. 858–874, August 1998.

    Article  Google Scholar 

  9. A. Brand and H. Aghvami, Multiple Access Protocol for Mobile Communications, GPRS, UMTS and Beyond. John Wiley & Sons, pp. 23–48, 2002.

  10. D.D. Kovatsos, “Performance Evaluation and Applications for ATM Networks”, Kluwer Academic Publisher, pp. 413–445, 2000.

  11. Demetres D. Kovatsos, “Nasreddine M. Tabel-Aouel and Spyros G. Denazis”, ME Based Approximations for General Discrete-Time Queueing Models”, Performance Evaluation, Vol. 21, pp. 89–98, 1994.

    Google Scholar 

  12. D.D. Kovatsos, “Cost Effective Methodologies for Queueing Models of ATM Switched Networks”, Keynote Paper, Proceedings of the 11th U.K. Performance Engineering Workshop for Computer and Telecommunications Systems.

Download references

Author information

Authors and Affiliations

  1. Mutah University, Al-karak, Jordan

    Aymen I. Zreikat

Authors
  1. Aymen I. Zreikat
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aymen I. Zreikat.

Additional information

Aymen I. Zreikat has obtained his B.Sc. in Computer Science from Yarmouk University, Jordan in 1990 and MSc in Computational Engineering (honour degree) from University of Erlangen, Germany in 2000. In January, 2001, he has joint the Performance Modelling and Engineering Research Group in the Computing Department of Bradford University, UK. His area of research is in the Performance Evaluation and Resource Management of 3G Wireless Mobile Networks. He has a set of international Journal and Conference papers in this field and he was responsible for reviewing a set of papers in this area of research. Furthermore, he is a member of some international organizations; i.e., MOSEL, etc. He has obtained his Ph.D. from Bradford University, UK in 2003. In January, 2004, he has appointed as an Assistant Professor at the Information Technology Department, Mutah University, Jordan where he is currently teaching some courses in performance modelling of Wirelsss Networks, programming languages, advanced simulation techniques and some other important courses.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zreikat, A.I. Performance of Queueing Model of one UMTS Cell with R Virtual Zones by the Maximum Entropy Solution. Wireless Pers Commun 39, 135–149 (2006). https://doi.org/10.1007/s11277-006-9083-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-006-9083-0

Keywords

Search

Navigation