Abstract
We construct and investigate a mathematical model for joint servicing of real-time multiservice traffic in access networks with a hierarchical topology. The model takes into account how the arrival of claims in each flow depends on the number of users that form this flow of claims and that are being serviced. We define quality indicators for joint servicing of claims through the values of stationary probabilities in the model. We obtain relations between them that simplify their estimation. We develop an algorithm for calculating the characteristics of the model based on an implementation of the convolution algorithm. We propose a procedure for estimating the transmission rate of connecting lines in the access network needed to service incoming traffic with a given quality. We also give numerical examples that illustrate the characteristic features of implementing the developed computational procedures.
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References
Evans, J. and Filsfils, C., Deploying I Pand MPLS QOS for Multiservice Networks. Theory and Practice, San Francisco: Morgan Kaufmann, 2007.
Kelly, F.P., Blocking Probabilities in Large Circuit-Switched Networks, Adv. Appl. Prob., 1986, vol. 18, pp. 473–505.
Broadband Network Traffic. Performance Evaluation and Design of Broadband Multiservice Networks, Final Report of Action COST 242, Roberts, J., Ed., Lecture Notes in Computer Sciences, Berlin: Springer-Verlag, 1996.
Ross, K.W., Multiservice Loss Models for Broadband Telecommunication Networks, London: Springer, 1995.
Stepanov, S.N., Osnovy teletrafika mul’tiservisnykh setei (Fundamentals of Teletraffic in Multiservice Networks), Moscow: Eko-Trendz, 2010.
Stepanov, S.N., Teoriya teletrafika: kontseptsii, modeli, prilozheniya (Theory of Teletraffic: Concepts, Models, Applications), Moscow: Goryachaya Liniya–Telekom, 2015.
Stepanov, S.N., Model of Joint Servicing of Real-Time Service Traffic and Data Traffic. I, Autom. Remote Control, 2011, vol. 72, no. 4, pp. 787–797.
Stepanov, S.N., Model of Joint Servicing of Real-Time Service Traffic and Data Traffic. II, Autom. Remote Control, 2011, vol. 72, no. 5, pp. 1028–1035.
Stepanov, S.N. and Stepanov, M.S., Planning Transmission Resource at Joint Servicing of the Multiservice Real Time and Elastic Data Traffics, Autom. Remote Control, 2017, vol. 78, no. 11, pp. 2004–2015.
Virtamo, J. https://doi.org/www.netlab.tkk.fi/opetus/s383141/english.shtml
Iversen, V.B., The Exact Evaluation of Multi-Service Loss System with Access Control, Teleteknik, 1987, vol. 31, no. 2, pp. 56–61.
Iversen, V.B., Teletraffic Engineering and Network Planning, Lyngby: Technical Univ. Denmark, 2010.
Iversen, V.B. and Stepanov, S.N., The Usage of Convolution Algorithm with Truncation for Estimation of Individual Blocking Probabilities in Circuit-Switched Telecommunication Networks, in Teletraffic Contributions for the Information Age, Proc. 15th International Teletraffic Congress (ITC 15), Ramaswami V. and Wirth, P.E., Eds., Amsterdam: Elsevier, 1997, pp. 1327–1336.
Iversen, V.B. and Stepanov, S.N., The Optimal Dimensioning of Multi-Service Links, Proc. COST285 Mid-term Sympos., Munchen, September 8–10, 2005, Chapter 7, pp. 151–178, in Modeling and Simulation Tools for Emerging Telecommunication Networks, New York: Springer, 2006.
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Original Russian Text © S.N. Stepanov, M.S. Stepanov, 2018, published in Avtomatika i Telemekhanika, 2018, No. 8, pp. 66–80.
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Stepanov, S.N., Stepanov, M.S. Planning the Resource of Information Transmission for Connection Lines of Multiservice Hierarchical Access Networks. Autom Remote Control 79, 1422–1433 (2018). https://doi.org/10.1134/S0005117918080052
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DOI: https://doi.org/10.1134/S0005117918080052