Abstract
A mathematical model of joint servicing of priority real-time traffic and elastic data traffic in multiservice access nodes has been constructed and studied. Definitions of quality indicators for joint servicing of incoming requests for information services are provided. A system of statistical equilibrium equations is formed and its use for calculating the exact values of the introduced characteristics is considered. A method for approximate calculation of characteristics is proposed, based on the construction of a system of simplified equilibrium equations. It has been established that the obtained estimates of customer service indicators are asymptotically accurate in the region of large and small losses. The use of the developed method is shown to solve the problem of estimating the volume of traffic offloaded in an overload situation to other access nodes or to other frequency ranges in order to achieve values of specified QoS indicators and to solve the problem of planning the volume of required transmission resource of a multiservice access node.
Notes
We will use lowercase letters to denote the normalized values of the probabilities of states and characteristics and uppercase letters to denote their non-normalized values.
Worst case scenario for servicing elastic data.
REFERENCES
Study on Scenarios and Requirements for Next Generation Access Technologies, 3GPP Technical Report (TR) 138.913 version 15.0.0 Release 15. 2018.
Network Slice Selection Services, 3GPP Technical Specification (TS) 129.531 version 15.5.0. Release 15. 2019.
Evans, J. and Filsfils, C., Deploying IP and MPLS QOS for Multiservice Networks. Theory and Practice, Morgan Kaufmann Publishers, Elsevier, 2007.
Ross, K.W., Multiservice Loss Models for Broadband Telecommunication Networks. London: Springer, 1995.
Iversen, V.B., Teletraffic Engineering and Network Planning, Technical University of Denmark, May 2010.
Broadband Network Traffic. Performance Evaluation and Design of Broadband Multiservice Networks. Final Report of Action COST 242, James Roberts, Ed., Lecture Notes in Computer Sciences, Springer, 1996.
Stepanov, S.N., Osnovy Teletrafika Mul’tiservisnykh Setei (The Foundation of Multiservice Network Teletraffic), Moscow: Eqo-Trends, 2010.
Bonald, T. and Feuillet, M., Network Performance Analysis, United Kingdom, London: Wiley, 2011.
Basharin, G.P., Gaidamaka, Yu.V., and Samouylov, K.E., Mathematical Theory of Teletraffic and Its Application to the Analysis of Multiservice Communication of Next Generation Networks, Autom. Control Comput. Sci., 2013, vol. 47, no. 2, pp. 62–69.
Stepanov, S.N., Teoriya teletrafika: kontseptsii, modeli, prilozheniya (Teletraffic Theory: Concepts, Models, Applications), Moscow: Goryachaya Liniya–Telekom, 2015.
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.
Shorgin, S., Samouylov, K., Gaidamaka, Y., Chukarin, A., Buturlin, I., and Begishev, V., Modeling Radio Resource Allocation Scheme with Fixed Transmission Zones for Multiservice M2M Communications in Wireless IoT Infrastructure, Lecture Notes Comput. Sci., Springer, Cham., 2015, vol. 9012, pp. 473–483.
Begishev, V., Petrov, V., Samuylov, A., Moltchanov, D., Andreev, S., Koucheryavy, Y., and Samouylov, K., Resource Allocation and Sharing for Heterogeneous Data Collection over Conventional 3GPP LTE and Emerging NB-IoT Technologies, IT Comput. Commun., 2018, vol. 120, no. 2, pp. 93–101.
Naumov, V., Gaidamaka, Yu., Yarkina, N., and Samouylov, K., Matrix and Analytical Methods for Performance Analysis ofTelecommunication Systems, Springer Nature, Switzerland, 2021.
Kallos, G.A., Vassilakis, V.G., Moscholios, I.D., and Logothetis, M.D., Performance Modelling of W-CDMA Networks Supporting Elastic and Adaptive Traffic, Proc. of 4 Int. Working Conference on Performance Modelling and Evaluation of Heterogeneous Networks (HET-NETs’06), Ilkley, 2006.
Gudkova, I.A. and Samouylov, K.E., Modelling a Radio Admission Control Scheme for Video Telephony Service in Wireless Networks, Lecture Notes Comput. Sci., 2012, vol. 7469, pp. 208–215.
Bonald, T. and Virtamo, J., A Recursive Formula for Multirate Systems with Elastic Traffic, IEEE Communicat. Lett., 2005, vol. 9, no. 8, pp. 753–755.
Stepanov, S.N. and Stepanov, M.S., Planning the Resource of Information Transmission for Connection Lines of Multiservice Hierarchical Access Networks, Autom. Remote Control, 2018, vol., 79. no. 8, pp. 1422–1433.
Stepanov, S.N. and Stepanov, M.S., Efficient Algorithm for Evaluating the Required Volume of Resource in Wireless Communication Systems under Joint Servicing of Heterogeneous Traffic for the Internet of Things, Autom. Remote Control, 2019, vol., 80, no. 11, pp. 2017–2032.
Stepanov, S.N. and Stepanov, M.S., Methods for Estimating the Required Volume of Resource for Multiservice Access Nodes, Autom. Remote Control, 2020, vol., 81, no. 12, pp. 2244–2261.
Stepanov, S.N., Markov Models with Retrials: The Calculation of Stationary Performance Measures Based on the Concept of Truncation, Math. Comput. Model, 1999, no. 30, pp. 207–228.
Stepanov, S. and Stepanov, M., Estimation of the Performance Measures of a Group of Servers Taking into Account Blocking and Call Repetition Before and After Server Occupation, Mathematics, 2021, vol. 9, no. 21, p. 2811https://doi.org/10.3390/math9212811
Fortet, R., and Grandjean, Ch., Congestion in a Loss System When Some Calls Want Several Devices Simultaneously, Electr. Communicat., 1964, vol. 39, no. 4, pp. 513–526.
Kaufman, J.S., Blocking in a Shared Resource Environment, IEEE Transact. Communicat., 1981, vol. 29, no. 1, pp. 1474–1481.
Chen, J., Chang, Z., Guo, X., Li, R., Han, Z., and Hamalainen, T., Resource Allocation and Computation Offloading for Multi-Access Edge Computing with Fronthaul and Backhaul Constraints, IEEE Transactions on Vehicular Technology, 2021, vol. 70, no. 8, pp. 8037–8049.
Stepanov, S.N., Andrabi, U.M., Stepanov, M.S. and Ndayikunda, J., Reservation Based Joint Servicing of Real Time and Batched Traffic in Inter Satellite Link, Proc. of 2020 Systems of Signals Generating and Processing in the Field of on Board Communications, Moscow, Russia, 2020, pp. 1–5. https://doi.org/10.1109/IEEECONF48371.2020.9078542
Volkov, A.O., Korobkina, A.V. and Stepanov, S.N., Development of Model and Algorithms for Servicing Real-Time and Data Traffic in a Cloud Computing System, Proc. of 2022 Systems of Signals Generating and Processing in the Field of on Board Communications, Moscow, Russia, 2022, pp. 1–6.https://doi.org/10.1109/IEEECONF53456.2022.9744289
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Stepanov, S.N., Stepanov, M.S. Approximate Method for Estimating Characteristics of Joint Service of Real-Time Traffic and Elastic Data Traffic in Multiservice Access Nodes. Autom Remote Control 84, 1191–1207 (2023). https://doi.org/10.1134/S0005117923110073
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DOI: https://doi.org/10.1134/S0005117923110073