About the history of the scientific school of Applied Probabilistic analysis and Queuing theory of the PT&MS Department of Tomsk State University

This article provides a brief overview of the largest research areas of the scientific school on applied probabilistic analysis and queuing theory, which has been formed over the past 50 years at the Department of Probability Theory and Mathematical Statistics of the National Research
Tomsk State University. The background of the formation of the department and the scientific interests of its employees are briefly described. Among the main areas of research are such as: management and adaptation in queuing systems; study of queuing systems with variable parameters; study of time series trends; study of doubly stochastic arrivals; identification of models and smoothing of experimental data by splines; search for a moving signal in a
multichannel system; study of mathematical models of communication networks with random multiple access protocols; development of methods of asymptotic analysis, limit decomposition, dynamic sieving; development of research methods for non-markovian systems and queuing networks with non-Poisson arrivals; development of research methods for queuing systems with random volume of resource requirements; development of new mathematical models of data transmission processes in the transport connection of telecommunication networks and their analysis in order to optimize their reliability and performance. For each direction of research, the article contains the names of researchers who have made a significant contribution to the development of the corresponding direction and received the most significant results.
The publications of some of them and the most fundamental works are referenced in the list of references. The article presents the main research topics being conducted at the moment, mentions the annual international conference held and founded by representatives of the
scientific school on the applied queuing theory, and bearing the name of its founder Alexander Fedorovich Terpugov.

1. Gortsev, A.M. 2000, “The department of applied mathematics and cybernetics”, Tomsk State University Journal, no 271, pp. 9-12.

2. Raduk, L.E. 1981, “Signal search in a multichannel system”, Tomsk State University Publishing House, Tomsk, 126 p.

3. Tonkonogov, Y.M. 1989, “Search for a moving signal in a multichannel system”, Tomsk State University Publishing House, Tomsk, 194 p.

4. Turenova, E.L. 1992, “Verification of statistical hypotheses about the ratio of nonstationary Poisson flows rates”, Abstract of the dissertation for the academic title of Ph.D. Tomsk State Univercity Publishing House, Tomsk, 19 p.

5. Nazarov, A.A.. 2000, “Some works at Tomsk State University on probability theory and its applications” Tomsk State University Journal, no 271, pp. 32–40.

6. Nazarov, A.A. 1984, “Managed queuing systems”, Tomsk State University Publishing House, Tomsk, 234 p.

7. Korotaev, I.A. 1991, “Queuing systems with variable parameters”, Tomsk State University Publishing House, Tomsk, 166 p.

8. Nazarov, A.A. 1991, “Asymptotic analysis of systems that can be markovized”, Tomsk State University Publishing House, Tomsk, 158 p.

9. Nazarov, A.A. 2006, “The method of asymptotic analysis in queuing theory”, Scientific and technical literature Publishing House, Tomsk, 112 p.

10. Moiseev, A.N. 2015, “Infinitely linear queuing systems and networks”, Scientific and technical literature Publishing House, Tomsk, 240 p

11. Kuznetsov, D.Y., Nazarov, A.A. 2002, “Adaptive random access networks”, Deltaplan, Tomsk, 254 p.

12. Garayshina, I.R., Moiseeva, S.P. & Nazarov, A.A. 2010, “Research methods of correlated flows and special queuing systems”, Scientific and technical literature Publishing House, Tomsk, 204 p.

13. Ananina, I.A. 2011, “Mathematical model of the income change of the trading company expanding the presence in the market”, Tomsk State University Journal. Сomputer science and informatics management, no 2(15), pp. 5–14.

14. “Information technology and mathematical modeling (ITMM-2018)”, 2018, The materials of the XVII international conference named after Terpugov A.F.Tomsk Sep, 10–15, 2018, Scientific and technical literature Publishing House, Tomsk, 442 p.

15. “Information technology and mathematical modeling (ITMM-2020)” 2020, The materials of the XIX international conference named after Terpugov A.F. Tomsk Dec,02–05,2020, Scientific and technical literature Publishing House, Tomsk, 498 p.

16. Dudin, A., Nazarov, A., Moiseev, A. (eds). 2020, Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM. Communications in Computer and Information Science, vol 1391. Springer, Cham. https://doi.org/10.1007/978-3-030-72247

17. “12-th International Workshop on Retrial Queues and Related Topics”, 2018, Scientific Technology Publishing House, Tomsk, 48 p.