Informatics and Applications
2025, Volume 19, Issue 2, pp 35-44
MATHEMATICAL SUPPORT FOR MONITORING OF STATES AND NUMERICAL CHARACTERISTICS OF NETWORK CONNECTION BASED ON COMPOUND STATISTICAL INFORMATION
- A. V. Borisov
- Yu. N. Kurinov
- R. L. Smeliansky
Abstract
The paper focuses on the application of optimal filtering methods to estimate the current qualitative states and numerical characteristics of a TCP link. The available statistical information includes measurements of round-trip times, jitter, and the flows of packet losses and timeouts. The evolution of the link state is modeled using a special class of Markov jump processes where one set of components defines the qualitative state of the channel while the other represents its quantitative characteristics. The proposed stochastic model and measurement structure enable the filtering ofboth the state and characteristics of the TCP link, yielding estimates that are optimal in both the class of linear and arbitrary transformations of the available observations. A numerical example is provided to validate the accuracy of these estimates.
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[+] About this article
Title
MATHEMATICAL SUPPORT FOR MONITORING OF STATES AND NUMERICAL CHARACTERISTICS OF NETWORK CONNECTION BASED ON COMPOUND STATISTICAL INFORMATION
Journal
Informatics and Applications
2025, Volume 19, Issue 2, pp 35-44
Cover Date
2025-07-10
DOI
10.14357/19922264250205
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
special Markov jump process; optimal filtering estimate; stochastic differential observation system; Kushner-Stratonovich equation; Kalman-Bucy filter
Authors
A. V. Borisov  , Yu. N. Kurinov  , and R. L. Smeliansky
Author Affiliations
Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
M. V. Lomonosov Moscow State University, 1-52 Leninskie Gory, GSP-1, Moscow 119991, Russian Federation
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