O.V. Druzhinina1, I.V.Makarenkova2, V.V. Maksimova3

1–3 FRС «Computer Science and Control» of RAS (Moscow, Russia)
1ovdruzh@mail.ru; 2imakarenkova@ipiran.ru; 3vmaksimova@mail.ru

The problems of analytical and computer research of dynamic models of repair and operation of technical vehicles used in railway transport are among the urgent problems related to ensuring safety and stability of traffic, with the development of digital twins and the improvement of monitoring and diagnostic systems. The analysis of models described by various types of multidimensional nonlinear differential equations requires the use of modern methods of dynamical systems theory, numerical optimization and computer algebra. The purpose of the article is to conduct a qualitative and numerical analysis of mathematical models of organizational and technological processes (OTP) in railway transport, as well as the synthesis of new controlled OTP models. Nonstationary generalizations of a two-dimensional dynamic model describing the repair process of railway transport equipment are proposed. Various cases of using constant and time-dependent parameters are considered. The case of linear and exponential dependences of parameters on time is studied. For the studied models, trajectories are obtained taking into account the variation of constant parameters and taking into account the choice of parametric dependencies, a comparative analysis of the results is presented. The formulation of the problem of optimal control of the number of repaired and repaired railway wagons is proposed. Promising methods for solving this problem using numerical optimization methods, including those inspired by nature, are described. The results can be used in the tasks of constructing and analyzing mathematical models of dynamic systems, in the tasks of numerical modeling of transport systems and technological processes, in the tasks of optimizing the number of vehicles and improving the transportation process, as well as in the tasks of creating digital counterparts in the transport industry.

Druzhinina O.V., Makarenkova I.V., Maksimova V.V. Research of nonstationary dynamic models of the organizational and technological process of railway transport technical vehicles repair. Nonlinear World. 2024. V. 22. № 2. P. 5-17. DOI: https://doi.org/10.18127/ j20700970-202402-01 (In Russian)

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