Approximation of message inter-arrival and inter-departure time distributions in IMS/NGN architecture using phase-type distributions

• Autorzy: Kaczmarek S. , Sac M.
• Języki publikacji: EN

Abstrakty

EN

Currently it is assumed that requirements of the information society for delivering multimedia services will be satisfied by the Next Generation Network (NGN) architecture, which includes elements of the IP Multimedia Subsystem (IMS) solution. In order to guarantee Quality of Service (QoS), NGN has to be appropriately designed and dimensioned. Therefore, proper traffic models should be proposed and applied. This requires determination of queuing models adequate to message inter-arrival and interdeparture time distributions in the network. In the paper the above mentioned distributions in different points of a single domain of NGN are investigated, using a simulation model developed according to the latest standards and research. Relations between network parameters and obtained message inter-arrival as well as interdeparture time distributions are indicated. Moreover, possibility of approximating the above mentioned distributions using phase-type distributions is investigated, which can be helpful in identifying proper queuing models and constructing an analytical model suitable for NGN.

Słowa kluczowe

EN

call processing performance; IMS; message interarrival time distributions; message inter-departure time distributions; NGN; phase type distributions; traffic model

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2013
• Tom: nr 3
• Strony: 9--18
• Opis fizyczny: Bibliogr. 32 poz., rys., tab.

Twórcy

autor

Kaczmarek S.

• Department of Teleinformation Networks, Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology, Gabriela Narutowicza st 11/12, 80-233 Gdańsk, Poland

autor

Sac M.

• Department of Teleinformation Networks, Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology, Gabriela Narutowicza st 11/12, 80-233 Gdańsk, Poland

Bibliografia

• [1] “General overview of NGN”, ITU-T Rec. Y.2001, Dec. 2004.
• [2] “IP Multimedia Subsystem (IMS); Stage 2 (Release 11)”, 3GPP TS 23.228 v11.0.0, Mar. 2011.
• [3] J. Rosenberg et al., “SIP: Session Initiation Protocol”, IETF RFC 3261, Jun. 2002.
• [4] P. Calhoun et al., “Diameter Base Protocol”, IETF RFC 3588, Sept. 2003.
• [5] “Call processing performance for voice service in hybrid IP networks”, ITU-T Rec. Y.1530, Nov. 2007.
• [6] “SIP-based call processing performance”, ITU-T Rec. Y.1531, Nov. 2007.
• [7] S. Kaczmarek and M. Sac, “Traffic modeling in IMS-based NGN networks”, Gdańsk University of Technology Faculty of ETI Annals, vol. 1, no 9, pp. 457–464, 2011.
• [8] S. Kaczmarek and M. Sac, “Zagadnienia inżynierii ruchu w sieciach NGN bazujących na IMS” (“Traffic engineering aspects in IMS-based NGN networks”), in Biblioteka teleinformatyczna, t. 6. Internet 2011 (Teleinformatics library, vol. 6. Internet 2011), D. J. Bem et al., Eds. Wrocław: Oficyna Wydawnicza Politechniki Wrocławskiej, 2012, pp. 63–115 (in Polish).
• [9] S. Kaczmarek, M. Kaszuba and M. Sac, “Simulation model of IMS/NGN call processing performance”, Gdańsk University of Technology Faculty of ETI Annals, vol. 20, pp. 25–36, 2012.
• [10] S. Kaczmarek and M. Sac, “Traffic Model for Evaluation of Call Processing Performance Parameters in IMS-based NGN”, in Information Systems Architecture and Technology: Networks Design and Analysis, A. Grzech et al., Eds. Wrocław: Oficyna Wydawnicza Politechniki Wrocławskiej, 2012, pp. 85–100.
• [11] S. Kaczmarek and M. Sac, “Message Inter-Arrival and Inter Departure Time Distributions in IMS/NGN Architecture”, in Proc. 17th Polish Teletraffic Symp. PTS 2012, Zakopane, Poland, 2012, pp. 37–43.
• [12] T. Osogami and M. Harchol-Balter, “Closed form solutions for mapping general distributions to quasi-minimal PH distributions”, Perform. Eval., vol. 63, no. 6, pp. 524–55, 2006.
• [13] A. Bobbio, A. Horvath and M. Telek, “Matching three moments with minimal acyclic phase type distributions”, Stoch. Mod., vol. 21, no. 2–3, pp. 303–326, 2005.
• [14] M. Telek and G. Horvath, “A minimal representation of Markov arrival processes and a moments matching method”, Perform. Eval., vol. 64, no. 9–12, pp. 1153–1168, 2007.
• [15] A. van de Liefvoort, “The moment problem for continuous distributions”, Tech. rep., University of Missouri, WP-CM-1990-02, Kansas City, USA, 1990.
• [16] S. Asmussen, O. Nerman and M. Olsson, “Fitting Phase-type distributions via the EM Algorithm”, Scandinavian J. Statist., vol. 23, no. 4, pp. 419–441, 1996.
• [17] “Functional requirements and architecture of next generation networks”, ITU-T Rec. Y.2012, Apr. 2010.
• [18] “IMS for next generation networks”, ITU-T Rec. Y.2021, Sept. 2006.
• [19] “Resource and admission control functions in next generation networks”, ITU-T Rec. Y.2111, Nov. 2008.
• [20] “Resource control protocol no. 1, version 2 – Protocol at the Rs interface between service control entities and the policy decision physical entity”, ITU-T Rec. Q.3301.1, Jun. 2010.
• [21] M. Pirhadi, S. M. Safavi Hemami and A. Khademzadeh, “Resource and admission control architecture and QoS signaling scenarios in next generation networks”, World Appl. Sci. J. 7 (Special Issue of Computer & IT), pp. 87–97, 2009.
• [22] OMNeT++ Network Simulation Framework [Online]. Available: http://www.omnetpp.org
• [23] MATLAB – The Language of Technical Computing [Online]. Available: http://www.mathworks.com/products/matlab
• [24] V. S. Abhayawardhana and R. Babbage, “A traffic model for the IP Multimedia Subsystem (IMS)”, in Proc. IEEE 65th Veh. Technol. Conf. VTC 2007-Spring, Dublin, Ireland, 2007.
• [25] T. Czachórski, “Modele kolejkowe w ocenie efektywności sieci i systemów komputerowych” (“Queuing models in evaluation of effectiveness of computer networks and systems”). Gliwice: Pracownia Komputerowa Jacka Skalmierskiego, 1999 (in Polish).
• [26] Moment Matching Algorithms [Online]. Available: http://www.cs.cmu.edu/ osogami/code/momentmatching/index.html
• [27] BuTools Program Packages [Online]. Available: http://webspn.hit.bme.hu/ telek/tools/butools/butools.html
• [28] G. W. Corder and D. I. Foreman, Nonparametric Statistics for Non-Statisticians: A Step-by-Step Approach. Wiley, 2009.
• [29] S. Kaczmarek and M. Sac, “Analysis of IMS/NGN call processing performance using G/G/1 queuing systems approximations”, Przegl.Telekomun. i Wiadom. Telekomun. (Telecommun. Rev. & Telecommun. News), no. 8–9, pp. 702–710, 2013.
• [30] “Centralized RACF architecture for MPLS core networks”, ITU-T Rec. Y.2175, Nov. 2008.
• [31] “Ethernet QoS control for next generation networks”, ITU-T Rec. Y.2113, Jan. 2009.
• [32] “Requirements for the support of flow state aware transport technology in an NGN”, ITU-T Rec. Y.2121, Jan. 2008.