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HISTORY OF MATHEMATICS AND APPLICATIONS
About the history of the scientific school of Applied Probabilistic analysis and Queuing theory of the PT&MS Department of Tomsk State University
I. A. Turenovaa, E. L. Turenovab, S. P. Moiseevaa a Tomsk State University (Moscow)
b Academy of Civil Defense of the Ministry of Emergency Situations of Russia (Moscow)
Abstract:
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.
Keywords:
queuing theory, applied probabilistic analysis, PT&MS Department, Tomsk State University, FAMC, IAM&CS.
Received: 06.04.2023 Accepted: 11.12.2023
Citation:
I. A. Turenova, E. L. Turenova, S. P. Moiseeva, “About the history of the scientific school of Applied Probabilistic analysis and Queuing theory of the PT&MS Department of Tomsk State University”, Chebyshevskii Sb., 24:4 (2023), 372–379
Linking options:
https://www.mathnet.ru/eng/cheb1367 https://www.mathnet.ru/eng/cheb/v24/i4/p372
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Abstract page: | 36 | Full-text PDF : | 21 | References: | 9 |
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