A model of interaction between a railway and a seaport has been developed in the presence of a governing body. Interaction functions are described for the proposed model, analytical solutions for the static model are found, and the simulation speed is compared without and with the use of analytics. Next, a dynamic model is considered and an algorithm for finding an equilibrium for this model is proposed. The subsequent use of parallel programming methods will make it possible to plan interaction in this model to a better extent.

Keywords: mathematical model, simulation modeling, Stackelberg equilibrium, hierarchical game, mixed transportation, railway transport, port

For prototyping virtual resources, there are modern UI/UX development applications that have the means to build highly productive interaction algorithms, for example, Figma or its promising new competitor Pixso. These programs support the joint redating of projects, and also allow planning and discussion of ideas and stages of work here, in the environment. The correctly chosen method of interaction leads to a multiple increase in productivity. One of the recognized approaches to project planning and management is the Agile design methodology.

Keywords: team, layout, prototype, website, methodology, formal language, brainstorming, frame, project, interface, plugin, editor

The work is devoted to the problems of strategic planning in the digital technology market. The aim of the work is to build a decision support procedure for choosing a strategy, based on internal (related to the characteristics of the firm choosing the strategy) and external (conditioned by the state of the market) factors. It is assumed that the elementary strategy is described by the type, direction and applied area of activity. In this case, the possibility of combining several elementary strategies is considered. The main result of the work is a procedure for choosing a combined strategy based on the application of a genetic algorithm. The use of the methodological apparatus of evolutionary calculations is due to the large number of possible options for combined strategies and the complexity of their evaluation, which makes a complete enumeration of options impractical. The final choice is made by the decision maker based on their own preferences.

Keywords: IT market, decision support, genetic algorithm

The article presents the study results of a soil-like fraction contamination at a landfill located on the territory of the Traktorozavodsky district of Volgograd with heavy metals. The soil-like fraction's pollution level was assessed using a cumulative chemical pollution index (Zc) and its modifications. It was determined that the contamination levels with heavy metals are dependent on a used cumulative chemical pollution index modification. The use of the average geometric values of a cumulative chemical pollution index (Zc) is preferred for a pollution assessment of a soil-like fraction. Because the pollution level of a studied soil-like fraction was assessed as hazardous, its use as a recultivation material can only be permitted after a detoxification.The main pollutants in the soil-like fraction are cadmium, copper, and nickel.

Keywords: landfills, soil-like fraction, heavy metals, pollution level

The algorithm and code listing of the developed self-learning chatbot are presented. Able to maintain a conversation with the user, switch to training mode in the absence of the necessary information, analyze the context of the conversation for "forbidden" words. The Trim function is used, which removes extraneous characters represented in the tr property. And also an additional option "Solve arithmetic problems" is implemented in case of a request from the user. When implementing the latter option, a recursive descent algorithm based on three nested recursive functions was used, while the binary tree is filled in. A function has been developed to divide the incoming string into tokens. The chatbot code is developed in C++/C# based on the principles of object-oriented programming with the development of classes.

Keywords: artificial intelligence, machine learning, voice assistant chatbot, learning mode, tokens, recursive descent, binary tree

The article confirms the need for a systematic approach to the scientific justification of the electronic document management systems security(EDMS) and the relevance of the study, presents the results of the analysis of guidance documents regarding the development of mathematical models and existing experience, summarizes the procedure for the scientific justification of EDMS security, highlights the main trends in modeling today, a new approach to the construction of EDMS security models is proposed, defines its role and place in the existing theory and practice.

Keywords: Security models of computer systems, security policy, electronic document management system, systematic approach

Despite the existing differentiation of the regions of the Russian Federation in terms of natural and climatic conditions and the level of socio-economic development, the main principle of the state cadastral valuation is aimed at the uniformity of its implementation. The study in this paper is aimed at revealing the concept of "regional features" as a factor leading to a discrepancy in the methodology for determining the cadastral value of real estate at the regional level. The article highlights the factors of regional specifics that form the features of the appraisal work to determine the cadastral value of land plots in 2022 on the territory of St. Petersburg and the Perm Territory, as well as recommendations for improving the existing unified methodology.

Keywords: state cadastral valuation, mass valuation, taxation, cadastral value, market value, differentiation of regions, regional peculiarity, real estate object, land plot

The article describes ways to equalize temperature differences in the material after preheating in the heating zone. A mode for changing the temperatures of the material and the furnace channel has been developed. The optimal length of the firing zone and the time of passage of the material were established, at which a constant temperature is maintained on the surface of the material. Values for optimizing the main parameters are given.

Keywords: firing, tunnel kiln, temperature equalization

The article considers a formalized data model of a software package for automating the accounting of the activities of an animal care center, which includes two subsystems: "Subsystem of information support for the activities of a shelter for homeless animals" and "Subsystem of automation of accounting for the activities of a hotel for animals". The formalized model allows you to structure the subject area, highlight the main components, their properties and relationships between them (customers, pets, aviaries, booking requests, volunteers, tasks, etc.), which was later used for algorithmization of the solution and software implementation of complex tools on the 1C:Enterprise platform.

Keywords: formalized model, animal shelter, homeless animals, hotel for animals, 1C:Enterprise, automation, activity accounting, animals, software package, information system

The development of an automatic system for installing a magneto-optical magnetic field sensor in a neutral position has been carried out. Installation in the neutral position is carried out by an automatic piezoelectric drive control system based on a microcontroller. A mathematical model is constructed and numerical simulation of the automatic control system is performed. The results and parameters of the simulation are presented. The developed system provides a significant increase in the autonomy of the sensor, which makes it possible to eliminate or significantly reduce the cost of regulating the sensor.

Keywords: magnetic field sensor, magneto-optical sensor, automatic control system, piezo motor

An example of a technical examination of a cultural heritage object of federal significance is given in order to identify the fact of violation of the Federal legislation during its restoration. Recommendations are given on the preparation of a technical conclusion of this examination. The article was written on the basis of the research carried out (at the request of law enforcement agencies).

Keywords: technical expertise, object of cultural heritage, violation of the law, building structures, temple, dome, restoration

Noise pollution of the air is considered to be an excess of the natural level of the background noise or a sharp fluctuation and change in such sound characteristics as the frequency of the sound wave and the strength of the sound stream. The article considers noise levels in the mainline territories in a linear city.

Keywords: linear city, traffic noise, highways, air environment, landscaping, equivalent noise level, row of planting, arboretum composition

English is an analytical language, so in English, the word order is important for understanding sentences and phrases. Practicing construpcting noun phrases with the correct order of adjective requires constant practice with feedback. As teachers' time for verifying assignments is limited, we propose to use a tutoring system, which can generate step-by-step feedback. It will help students develop the skill of arranging adjectives in the correct order.

Keywords: tutoring system, ontological modeling, natural language processing, English, adjective order, hypernyms, automated verification of the learners' answers

In a competitive environment, the definition of an effective strategy for the development of a company acquires great importance and is impossible without the use of mathematical modeling methods. The article proposes a hierarchically organized model of an IT enterprise. The consideration was carried out on the example of Electronic Medicine LLC. The Cobb-Douglas production function is used to describe the firm's activities. Numerical calculations are made by simulation for real input data. The Stackelberg equilibrium is constructed, and the results obtained are analyzed.

Keywords: hierarchical modeling, Stackelberg equilibrium, Cobb-Douglas production function, simulation

This article analyzes the problems of spatial, temporal and phase synchronization in non-cooperative passive bistatic radar coordinate meters, which make it difficult to detect weak objects. The method of time and phase synchronization based on the estimation of the parameters of the direct wave signal and the method of detecting weak objects, which consists of a long coherent accumulation of signal parameters, are investigated. A universal algorithm is proposed, which consists of two stages: extraction of direct wave pulses and parameter estimation. Based on the estimation of parameters and waveform, an algorithm for detecting weak targets based on the generalized Fourier transform is given.

Keywords: non-cooperative passive bistatic radar, algorithm, synchronization, pulse, generalized Fourier transform