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Theoretical Approach to Optimization of Home Subscriber Server in IP Multimedia Subsystem

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Our paper deals with structure of Home Subscriber Server in IP Multimedia Subsystem and mathematical models for optimizing this database. The aim of our work is choose and verify proper models for dimensioning of traffic in the HSS. In this paper we describe the Markov M/M/1/K and M/M/m/K models and Erlang C formula. Simulations are graphically interpreted in MATLAB and results are discussed.

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  1. 1.

    Pantunn, S., & Pattaramalai, S. (2017). Security of connecting SIP trunk via SBC on IMS network. Pattaya: International Electrical Engineering Congress—iEECON.

  2. 2.

    Vargas, R., Mauricio, A., & Cadena Munoz, E. (2017). Review of Quality of Service (QoS) mechanisms over IP Multimedia Subsystem (IMS). Ingeniería y Desarrollo, 35(1), 262–281. https://doi.org/10.14482/inde.35.1.8952.

  3. 3.

    Frnda, J., Voznak, M., & Sevcik, L. (2016). Impact of packet loss and delay variation on the quality of real-time video streaming. Telecommunication Systems, 62(2), 265–275. https://doi.org/10.1007/s11235-015-0037-2.

  4. 4.

    Certik, F., & Roka, R. (2016). Possibilities for advanced encoding techniques at signal transmission in the optical transmission medium. Journal of Engineering (United States), 9, 11.

  5. 5.

    Bazot, P., Huber, R., Kappel, J., Subramanian, B. S., Oguejiofor, E., Georges, B., et al. (2007). Developing SIP and IP Multimedia Subsystem (IMS) applications (1st ed.). New York: IBM Corp. ISBN: 0738489573.

  6. 6.

    Hasswa, A., & Hassanein, H. (2013). Utilizing the IP Multimedia Subsystem to create an extensible service-oriented architecture. Journal of Computational Science, 4, 183–198. https://doi.org/10.1016/j.jocs.2012.02.002.

  7. 7.

    Roka, R. (2015). The environment of fixed transmission media and their negative influences in the simulation. International Journal of Mathematics and Computers in Simulation, 9, 190–205.

  8. 8.

    Bellavista, P., Foschini, L., Venanzi, R., & Carella, G. (2017). Extensible orchestration of elastic IP Multimedia Subsystem as a service using open baton. In 5th IEEE international conference on mobile cloud computing, services, and engineering (MobileCloud), San Francisco, CA (pp. 88–95). https://doi.org/10.1109/MobileCloud.2017.31.

  9. 9.

    Alvi, A. B., Masood, T., & Mehboob, U. (2017). Load based automatic scaling in virtual IP based multimedia subsystem. In 14th IEEE annual consumer communications and networking conference (CCNC), Las Vegas, NV (pp. 665–670). https://doi.org/10.1109/CCNC.2017.7983210.

  10. 10.

    Poiksela, M., & Mayer, G. (2009). The IMS: IP Multimedia Concepts and Services (3rd ed.). Hoboken: Wiley. ISBN: 978-0-470-72196-4.

  11. 11.

    Abu-Lebdeh, M., Yangui, S., Naboulsi, D., Glitho, R. Tchouati, C. W. (2016). A virtual network PaaS for 3GPP 4G and beyond core network services. In 5th IEEE international conference on cloud networking (Cloudnet), Pisa, Italy (pp. 7–13). https://doi.org/10.1109/CloudNet.2016.31.

  12. 12.

    GitHub. (2015). A 3GPP IP Multimedia Subsystem (IMS) Home Subscriber Server (HSS). https://github.com/sigscale/hss. Accessed 5 Feb 2018.

  13. 13.

    Abhayawardhana, V. S., Babbage, R. (2007). A traffic model for the IP Multimedia Subsystem (IMS). In IEEE 65th vehicular technology conference (VTC2007), Dublin, Ireland (pp. 783–787). https://doi.org/10.1109/VETECS.2007.171.

  14. 14.

    Tang, C.-S., Chiang, Y.-K., Tsou, Y.-D., Ju, J.-H., Twu, C.-Y. (2016). A converged network architecture for ICT and IoT combined applications. In 18th Asia-Pacific network operations and management symposium, Kanazawa, Japan. https://doi.org/10.1109/APNOMS.2016.7737284.

  15. 15.

    RFC 4740. (2006). Diameter Session Initiation Protocol (SIP) application. https://tools.ietf.org/html/rfc4740. Accessed 5 Feb 2018.

  16. 16.

    Voznak, M., & Rozhon, J. (2010). Methodology for SIP infrastructure performance testing. WSEAS Transactions on Computers, 9(9), 1012–1021.

  17. 17.

    Stasiak, M., Glabowski, M., Wisniewski, A., & Zwierzykowski, P. (2010). Modelling and dimensioning of mobile wireless networks: From GSM to LTE. Hoboken: Wiley. ISBN: 978-0-470-66586-2.

  18. 18.

    Islam, F., Petriu, D., & Woodside, M. (2015). Simplifying layered queuing network EPEW 2015: Computer performance engineering. Part of the lecture notes in computer science (Vol. 9272, pp. 65–79). https://doi.org/10.1007/978-3-319-23267-6_5.

  19. 19.

    Klucik, S., & Lackovic, M. (2013). Modelling of H.264 MPEG2 TS traffic source. Advances in Electrical and Electronic Engineering, 11(5), 404–409.

  20. 20.

    Alassane, B. A., Karim, K., Chervyakov, N. I., Deryabin, M. A., Babenkoa, M. G., & Shabalina, M. N. (2016). Jitter calculation in core IMS. In IEEE NW Russia young researchers in electrical and electronic engineering conference. St. Petersburg, Russia (pp. 112–115). https://doi.org/10.1109/EIConRusNW.2016.7448134.

  21. 21.

    Kovac, A., Halas, M., & Orgon, M. (2011). E-model MOS estimate improvement through jitter buffer packet loss modelling. Advances in Electrical and Electronic Engineering, 9(5), 233–242.

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This article was created with the support of the Ministry of Education, Science, Research and Sport of the Slovak Republic within the KEGA agency project—007STU4/2016 Progressive educational methods in the eld of telecommunications multiservice networks and VEGA agency project—1/0462/17 Modeling of qualitative parameters in IMS networks.

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Correspondence to Juraj Skunda.

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Skunda, J., Baronak, I. & Chromy, E. Theoretical Approach to Optimization of Home Subscriber Server in IP Multimedia Subsystem. Wireless Pers Commun 110, 1825–1837 (2020). https://doi.org/10.1007/s11277-019-06813-0

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  • Erlang C
  • HSS
  • IMS
  • queueing models