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Analytical model of the multi-service cellular network servicing multicast connections

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Abstract

In this paper, a new analytical method of blocking probability calculation in multi-service cellular systems with multicast connections is proposed. The new analytical method considers the influence of both WCDMA and Iub interfaces on multicast traffic streams characteristics. The basis for the discussed method is a model of the full-availability group with traffic compression and the fixed-point methodology. The results of the analytical calculations of the cellular system with multicast connections are compared with the results of the simulation experiments, which confirms the accuracy of the proposed method. The proposed scheme can be applicable for a cost-effective resource management in UMTS/HSPA/LTE mobile networks and can be easily applied in proper network dimensioning.

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References

  1. El-Sallabi, H., Salo, J., & Vainikainen, P. (2004). Investigations on impact of bandwidth on orthogonality factor for WCDMA systems. In Proceedings of the IEEE wireless communications and networking conference, pp. 1138–1142, Atlanta.

    Google Scholar 

  2. Esteve, G., Valverde, D., Portilla-Figueras, A., Salcedo-Sanz, S., & Diaz-Estebaranz, J. (2008). Study into MBMS as a public warning technology. In DIWEB’08: Proceedings of the 8th WSEAS international conference on Distance learning and web engineering, Stevens Point, Wisconsin, USA (pp. 151–156). World Scientific/Engineering Academy and Society (WSEAS).

    Google Scholar 

  3. Głąbowski, M., Stasiak, M., & Zwierzykowski, P. (2009). Modelling of virtual-circuit switching nodes with multicast connections. European Transactions on Telecommunications, 20(2), 123–137. doi:10.1007/s11235-011-9615-0.

    Article  Google Scholar 

  4. Holma, H., & Toskala, A. (2000). WCDMA for UMTS. Radio access for third generation mobile communications. Chichester: Wiley.

    Google Scholar 

  5. Holma, H., & Toskala, A. (2006). HSDPA/HSUPA for UMTS: high speed radio access for mobile communications. Chichester: Wiley.

    Book  Google Scholar 

  6. Ishikawa, Y., Onoe, S., Fukawa, K., & Suzuki, H. (2005). Blocking probability calculation using traffic equivalent distributions in sir-based power controlled w-cdma cellular systems. IEICE Transactions on Communications E88-B(1), 312–324.

    Article  Google Scholar 

  7. Iversen, V. B., & Epifania, E. (2003). Teletraffic engineering of multi-band W-CDMA systems. In Network control and engineering for Qos, security and mobility II (pp. 90–103). Norwell: Kluwer Academic.

    Chapter  Google Scholar 

  8. Kallos, G. A., Vassilakis, V. G., & Logothetis, M. D. (2008). Call blocking probabilities in a W-CDMA cell with fixed number of channels and finite number of traffic sources. In Proceedings of 6th international conference on communication systems, networks and digital signal processing, Graz, Austria (pp. 200–203).

    Google Scholar 

  9. Kallos, G., Vassilakis, V., & Logothetis, M. (2010). Call-level performance analysis of a W-CDMA cell with finite population and interference cancellation. European Transactions on Telecommunications. doi:10.1002/ett.1446.

    Google Scholar 

  10. Kaufman, J. (1981). Blocking in a shared resource environment. IEEE Transactions on Communications, 29(10), 1474–1481.

    Article  Google Scholar 

  11. Kelly, F. (1991). Loss networks. The Annals of Applied Probability, 1(3), 319–378.

    Article  Google Scholar 

  12. Kennerstedt, F. Estimation of non-orthogonality and other-to-own cell interference in a WCDMA radio network (Internal Technical Report EAB/PD-06:0082 Uen). Ericsson (2006).

  13. Koo, I., & Kim, K. (2005). CDMA systems capacity engineering. Mobile communications. Boston/London: Artech House.

    Google Scholar 

  14. Koo, I., & Kim, K. (2006). Erlang capacity of multi-service multi-access systems with a limited number of channel elements according to separate and common operations. IEICE Transactions on Communications E89-B(11), 3065–3074.

    Article  Google Scholar 

  15. Kwon, Y. S., & Kim, N. (2004). Capacity and cell coverage based on calculation of the erlang capacity in a WCDMA system with multi-rate traffic. IEICE Transactions on Communications E87-B(8), 2397–2400.

    Google Scholar 

  16. Laiho, J., Wacker, A., & Novosad, T. (2006). Radio network planning and optimization for UMTS (2 ed.). Chichester: Wiley.

    Google Scholar 

  17. Mehta, N., Willis, L., & Kostic, Z. (2003). Analysis and results for the orthogonality factor in WCDMA downlinks. IEEE Transactions on Wireless Communications, 6(2), 1138–1149.

    Article  Google Scholar 

  18. Nawrocki, M., Aghvami, H., & Dohler, M. (2006). Understanding UMTS radio network modelling, planning and automated optimisation: theory and practice. Chichester: Wiley.

    Book  Google Scholar 

  19. Parniewicz, D., Stasiak, M., & Zwierzykowski, P. (2010). Model of k-cast connections in mobile networks. In Z. Ghassemlooy, & W. Ng (Eds.) 7th IEEE&IET international symposium on communication systems, networks and digital signal processing, pp. 911–915. School of Computing, Engineering and Information Science, Northumbria University, Newcastle upon Tyne, United Kingdom. The best paper award.

    Google Scholar 

  20. Pedersen, K., & Mogensen, P. (2002). The downlink code orthogonality factors influence on WCDMA system performance. In Proceedings of the 56th IEEE vehicular technology conference (pp. 2061–2065). Canada: Vancouver.

    Chapter  Google Scholar 

  21. Roberts, J. (1981). A service system with heterogeneous user requirements—application to multi-service telecommunications systems. In G. Pujolle (Ed.) Proceedings of performance of data communications systems and their applications (pp. 423–431). Amsterdam: North Holland.

    Google Scholar 

  22. Roberts, J. (Ed.) Performance evaluation and design of multiservice networks (Final Report COST 224). Commission of the European Communities, Brussels (1992).

  23. Staehle, D. Analytic methods for UMTS radio network planning. Ph.D. thesis, Bayerische Julius-Maximilians-Universitat Wurzburg (2004).

  24. Stasiak, M., & Zwierzykowski, P. (2009). Analytical model of the Iub interface carrying HSDPA traffic in the UMTS network. In Lecture notes in computer science: Vol. 5787. Computer performance engineering (pp. 536–539), Jeju, Korea. Berlin: Springer.

    Google Scholar 

  25. Stasiak, M., Wiśniewski, A., Zwierzykowski, P., & Głąbowski, M. (2009). Blocking probability calculation for cellular systems with WCDMA radio interface servicing PCT1 and PCT2 multirate traffic. IEICE Transactions on Communications E92-B(4), 1156–1165

    Article  Google Scholar 

  26. Stasiak, M., Zwierzykowski, P., & Parniewicz, D. (2009). Modelling of the WCDMA interface in the UMTS network with soft handoff mechanism. In Proceedings of IEEE global communications conference (GLOBECOM), Honolulu, Hawaii, USA.

    Google Scholar 

  27. Stasiak, M., Zwierzykowski, P., Wiewióra, J., & Parniewicz, D. (2009). Analytical model of traffic compression in the UMTS network computer performance engineering. In Lecture notes in computer science (Vol. 5652, pp. 79–93). Berlin: Springer.

    Google Scholar 

  28. Stasiak, M., Zwierzykowski, P., & Głąbowski, M. (2010). Teletraffic engineering for HSDPA/HSUPA cell. In Evolved cellular network planning and optimization for UMTS and LTE (pp. 297–330). Boca Raton: Auerbach Publications.

    Chapter  Google Scholar 

  29. Stasiak, M., Głąbowski, M., Wiśniewski, A., & Zwierzykowski, P. (2011). Modeling and dimensioning of mobile networks: from GSM to LTE. Chichester: Wiley.

    Google Scholar 

  30. Tyszer, J. (1999). Object-oriented computer simulation of discrete-event systems. Dordrecht: Kluwer Academic.

    Book  Google Scholar 

  31. Vassilakis, V. G., & Logothetis, M. D. (2008). The wireless Engset multi-rate loss model for the handofftraffic analysis in W-CDMA networks. In Proceedings of 19th international symposium on personal, indoor and mobile radio communications (pp. 1–6), Cannes, France.

    Google Scholar 

  32. Wiśniewski, A. (2009). Modelling of the mobile systems with WCDMA radio interface. Ph.D. thesis, Poznan University of Technology, Faculty of Electronics and Telecommunications, Poland.

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Correspondence to Piotr Zwierzykowski.

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Parniewicz, D., Stasiak, M. & Zwierzykowski, P. Analytical model of the multi-service cellular network servicing multicast connections. Telecommun Syst 52, 1091–1100 (2013). https://doi.org/10.1007/s11235-011-9615-0

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