The purpose of the article is a software implementation of a module for analyzing the activity of site users based on a heat map of clicks, compatible with domestic web services, for example, combining the functionality of correlation and regression analysis and visualization in the form of dashboards before and after making changes to site elements. All functionality is carried out directly in the web analytics service. Based on the data obtained on the analyzed site element, a decision is made to adjust the design and/or content to increase the click rate. Thus, the proposed solution allows us to expand the functionality of the web analytics service and reduce labor costs. The software module has been successfully tested. As a result of the analysis and making the necessary adjustments to the site, the click rate increased

Keywords: user activity, correlation and regression analysis, dashboard, program module, trend line, coefficient of determination

The article considers the possibility of modeling the random forest machine learning algorithm using the mathematical apparatus of Petri net theory. The proposed approach is based on the use of three types of Petri net extensions: classical, colored nets, and nested nets. For this purpose, the paper considers the general structure of decision trees and the rules for constructing models based on a bipartite directed graph with a subsequent transition to the random forest machine learning algorithm. The article provides examples of modeling this algorithm using Petri nets with the formation of a tree of reachable markings, which corresponds to the operation of both decision trees and a random forest.

Keywords: Petri net, decision tree, random forest, machine learning, Petri net theory, bipartite directed graph, intelligent systems, evolutionary algorithms, decision support systems, mathematical modeling, graph theory, simulation modeling

The article presents a system research of the factors of formation of architectural and typological models of a medium-rise dwelling. The research was conducted in two stages. At the first stage, the main internal and external factors of building architectural and typological models based on the study and processing of literary sources, analysis of modern domestic and foreign experience in designing medium-rise housing are collected and systematized. The structural elements of the factors are systematized according to well-established architectural concepts. At the second stage of the study, a matrix of dependencies between external and internal factors was formed, and the number of dependencies between internal and external factors was calculated. Based on the data obtained, the internal factors were grouped by the number of links with external factors. The obtained results of the system research provide the basis for further construction of a limited number of the most versatile and flexible architectural and typological models that take into account the greatest number of environmental conditions.

Keywords: architectural and typological models, urban planning conditions, cultural conditions, national and ethnographic conditions, natural and climatic conditions, socio-demographic conditions, medium-rise housing

This article analyzes the main causes of fatal injuries in the construction industry of the Russian Federation and a number of other foreign countries, including falls from heights, electric shock, injuries associated with the use of construction machinery and mechanisms, as well as exposure to harmful substances. In conclusion, the article highlights the importance of joint efforts by employers, employees and regulators to create a safer and healthier work environment in the construction industry. The implementation of the preventive measures described in the article can significantly reduce the risk of accidents and improve the well-being of employees.

Keywords: construction industry, industrial injuries, accidents, causes of injuries, working conditions, occupational risks, working at height, occupational safety, environmental factors, workplace organization, training

The work presents the review of modern log trucks under the recent sanctions imposed. The author states that the problem of renewing the existing log trucks becomes urgent for forest transporting and logging companies nowadays. There is a wide range of new basic chassis and trucks at the market to build log trucks with a wheel formula 6x4 and 6x6 produced by Russian, Belorussian and Chinese factories. A great number of trailer links is produced to build log trucks. There is an opportunity to buy used trucks of other companies. For the first stage of the technical and economic analysis and preliminary selection of the optimal type and composition of a logging truck, a comparative assessment of the effectiveness of logging trucks was carried out. The analysis shows that Russian log trucks with engine power more than 400 HP (horsepower) can compete with the best foreign models. Nevertheless, the problem of reliability of Russian, Belorussian and Chinese log trucks needs further research.

Keywords: log trucks, trailer links, productivity, effectiveness

 the modification of a thermally cured epoxy binder is considered due to the introduction of a plasticizer and a latent component digital and statistical methods of experimental research are used digital models linking the basic properties with changes in variable factors are obtained and an analytical technique for predicting the properties of products as well as the selection of their composition is developed a composite epoxy binder is obtained and studied.

Keywords: digital model, synthetic binder, latent component, regression equation, analytical optimization

The article presents the calculation of reinforced concrete column reinforcement using a metal cage made of angles, taking into account the physical nonlinearity of materials within the framework of the Lira CAD software package. The use of a nonlinear approach is due to the inability of linear methods to adequately reflect the real behavior of concrete and steel under load, in particular, their destruction and gradual loss of rigidity. This paper presents a model that takes into account the nonlinear stiffness characteristics of concrete and steel in accordance with regulatory documents. Taking into account the physical nonlinearity of materials when calculating column reinforcement is critically important for reliable modeling of the structure's behavior and preventing underestimation of the risks of destruction. It is necessary to check the structure for local destruction at each stage of loading to ensure the reliability of calculations and the safety of the structure. The use of specialized software with the ability to stage-by-stage loading and checking for local destruction allows you to obtain accurate results and justify optimal design solutions.

Keywords: columns, reinforced concrete, steel, strengthening, jacket, calculation, physical nonlinearity, software package, stresses, strains

In operational diagnostics and recognition of states of complex technical systems, an important task is to identify small time-determined changes in complex measured diagnostic signals of the controlled object. For these purposes, the signal is transformed into a small-sized image in the diagnostic feature space, moving along trajectories of different shapes, depending on the nature and magnitude of the changes. It is important to identify stable and deterministic patterns of changes in these complex-shaped diagnostic signals. Identification of such patterns largely depends on the principles of constructing a small-sized feature space. In the article, the space of decomposition coefficients of the measured signal in the adaptive orthonormal basis of canonical transformations is considered as such a space. In this case, the basis is constructed based on a representative sample of realizations of the controlled signal for various states of the system using the proposed algorithm. The identified shapes of the trajectories of the images correspond to specific types of deterministic changes in the signal. Analytical functional dependencies were discovered linking a specific type of signal change with the shape of the trajectory of the image in the feature space. The proposed approach, when used, simplifies modeling, operational diagnostics and condition monitoring during the implementation of, for example, low-frequency diagnostics and defectoscopy of structures, vibration diagnostics, monitoring of the stress state of an object by analyzing the time characteristics of response functions to impact.

Keywords: modeling, functional dependencies, state recognition, diagnostic image, image movement trajectories, small changes in diagnostic signals, canonical decomposition basis, analytical description of image trajectory

A laboratory circuit of the installation with a heat exchanger-supercharger in the hot water circuit of the boiler has been developed. The conducted studies have shown that the temperature of hot water at the outlet changes depending on the oscillation frequency of the electromagnetic valve at a given flow rate, and the highest efficiency of water heating is observed at a frequency of 1.75 Hz. Calculation of the heat transfer coefficient showed that at a steady-state flow rate, the heat transfer coefficient of the heat exchanger-supercharger is 180 W / (m ^ 2 ° C). Then, with increasing frequency, the heat transfer coefficient smoothly decreases and reaches a minimum of 173 W / (m ^ 2 ° C) at 1.0 Hz. With a further increase in frequency, the heat transfer coefficient begins to increase and reaches a maximum of 188 W / (m ^ 2 ° C) at 1.75 Hz. As a result of the experiment, it was also found that with increasing frequency, the flow rate in the hot water circuit increases and reaches a maximum at a frequency of 1.75 Hz Q = 0.6 l / sec. That is, at such a frequency, the heat exchanger-supercharger, due to the oscillations of the liquid flow in the first circuit (cold water circuit), most effectively transmits the oscillations of the flow to the second circuit (hot water circuit), which can be used to reduce the power of the pump in the hot water circuit at this frequency.

Keywords: heat exchanger-supercharger, heat transfer coefficient, electromagnetic valve, water hammer

The research aimed to investigate the properties of glass-basalt composite tubes, specifically examining the relationship between structural fractal dimensions, composition, and mechanical properties. Physical experiments were carried out to assess the properties of glass and glass-basalt composite tubes. These tests included measurements of tensile strength, modulus of elasticity, fracture resistance, flexural strength, and additional mechanical characteristics. Fractal analysis of rovings and epoxy binder was performed at the microstructural level to evaluate the impact of structure on mechanical performance. Through predictive modeling of the physical and mechanical properties of glass-basalt composite tubes, an optimal range of properties was identified. This range is defined by specific technological parameters: rovings content of 68–74%, basalt fiber diameter of 7–12 μm, and epoxy binder content of 21–27%. Within this framework, the production of tubes with the following target properties was predicted: tensile strength, compressive strength , and modulus of elasticity.

Keywords: fractal modeling, microstructure, matrix fibers, glass-basalt plastic, composite material, forecasting, strength, fractal dimension, heterogeneity, mechanical properties, composite pipe, glass fiber, basalt, correlation analysis

Currently, one of the most extensive issues in the field of information security is the organization of user access control to information infrastructure objects. Taking into account the volume of corporate information resources, as well as the number of users requesting access, there is a need to automate the access approval process taking into account possible risks. In this case, the most optimal solution to this problem is the use of fuzzy logic. The article analyzes the process of providing access to the information infrastructure using a fuzzy classifier and develops a conceptual model of the fuzzy classifier algorithm for incoming requests for access in order to automate the process and minimize information security risks associated with possible destructive actions aimed at the confidentiality, integrity and availability of the information infrastructure.

Keywords: neural network, machine learning, information security, cybersecurity, properties and structure of a neural network, mathematical model, threats and information vulnerabilities

The article considers the sequence and technology of conducting surveying before starting excavation work on a bush site for the oil and gas industry. Surveying works play a key role, ensuring the necessary accuracy and reliability of the development of oil and gas fields. These works include conducting field measurements, detailed terrain analysis, calculating the volume of soil masses involved in the construction of earthworks, as well as monitoring geometric parameters and sand pits. An important stage of surveying is the creation of a detailed topographic map of the territory. Based on this map, it is possible to accurately plan the location of all future structures, ensuring optimal use of space and compliance with all regulatory requirements. The use of modern technologies, such as geodetic GPS systems and BIM technology, can significantly improve the accuracy and efficiency of these works. Special attention is paid to compliance with industrial safety standards, which minimizes costs and risks in the development of oil and gas industry enterprises. Thus, surveying is an integral part of the preparation and implementation of projects in the oil and gas field, contributing to the efficient and safe performance of all necessary work.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production

A complex dynamic system is defined by a structurally invariant operator. The operator structure allows formulating problems of stabilizing program motions or equilibrium positions of a complex dynamic system with constraints on state coordinates and control. The solution of these problems allows synthesizing a structurally invariant operator of a complex dynamic system with inequality-constraints on the vector of locally admissible controls and state coordinates. Computational experiments confirming the correctness of the synthesized structurally invariant projection operator are performed.

Keywords: structurally-invariant operator, stabilization of program motions, complex nonlinear dynamic system, projection operator, SimInTech

The composition of the lightweight plaster mix includes the following components: hydraulic binder, crushed volcanic tuff-scoria (as a fine lightweight filler), reinforcing fiber and synthetic additive. The hydraulic binder consists of Portland cement and finely ground volcanic tuff. Plaster mixes based on volcanic tuff are in demand in regions with a warm or sharply continental climate: high temperatures during the day or low at night, including Ethiopia. The purpose of the research presented in the article was: to form material structure models that allow evaluating the material properties and evaluating the solutions obtained during the implementation of an active experiment. As a result of the experiment, optimal values ​​​​of the main components of the plaster mix based on volcanic tuff were established, which is present in the mixture as a light fine filler and as a component of the hydraulic binder. Modeling of the material structure and engineering interpretation of its properties were carried out.

Keywords: plaster material, tuff-scoria, pozzolanic activity, mathematical modeling, analytical optimization

Bamboo as a building material has its own characteristics. It works well in stretching and bending. Bamboo has only longitudinal fibers that are prone to splitting, however these fibers are twisted in a knot. This phenomenon reduces the tensile strength. The mechanical properties of bamboo describe its reaction to physical influences. In general, bamboo has a high tensile strength parallel to the fibers. This article describes the mechanical properties of a bamboo rod depending on the loads, as well as modulus of elasticity of various types of bamboo. This article summarizes the experience of building buildings made of bamboo elements.

Keywords: bamboo, fibers, knot, joint, strength, construction, deformation, stretching, mechanical properties, anisotropic material