The assessment of the properties of urbanized territories or plots is necessary to determine the most effective use of them and to determine the cadastral or market price. A comprehensive model for assessing the properties of urbanized territories is presented, which is a multiplicative model consisting of two models: an additive model for assessing the properties of the plot under consideration and an additive model for assessing the influence of external factors determined by the adjacent territory. This multiplicative combination of additive models allows for the differentiated determination of the best alternative for different types of plot use based on the influence of internal and external factors when comparing multiple plots at different stages of a development project. To do this, the preference coefficients are calculated using the ratio of the integral estimates of the compared areas. If there are several areas, they can be selected using pairwise comparisons and the analysis hierarchy method.

Keywords: urbanized territory, property valuation, internal and external factors, additive and multiplicative models, development project

The paper presents the results of research into the efficiency of fine-grained concrete made using substandard materials and complex modifying admixture. The aim of the work is to evaluate the effect of multicomponent admixture on strength characteristics and efficiency of concrete. For this purpose the fractional factor experiment with variation of seven factors was applied, which were: microsilica, superplasticizers and other additives influencing both the properties of fine-grained concrete mixture and the properties of fine-grained concrete. The main criteria for assessing the influence of complex modifying admixtures were taken as the coefficient of structural quality and specific cement consumption per unit strength. The conducted research allowed to establish that the optimal composition of the additive increases the CQC by 29.9% and reduces the specific cement consumption by 24.6% in comparison with the control samples. It is shown that a balanced combination of additives improves the performance properties of concrete, contributing to resource saving and reducing the environmental load.

Keywords: fine-grained concrete, substandard materials, complex modifying admixture, structural quality coefficient, specific cement consumption, mathematical planning of the experiment, resource saving, compressive strength

The dynamic time warping algorithm (DTW) is designed to compare two time series by measuring the distance between them. DTW is widely used in medicine, speech recognition, financial market and gaze trajectories analysis. Considering the classic version of DTW, as well as its various modifications, it was found that in the tasks of analyzing the distance between gaze trajectories, they are not able to correctly take into account the duration of its fixations on visual stimuli. The problem has not attracted much attention so far, although its solution will improve the accuracy and interpretation of the results of many experimental studies, since assessing the time of visual focus on objects is an important factor in visual analysis. Hence the need to adapt DTW for such tasks. The goal of this work is to adapt the classic DTW to the problem of finding the distance between two time series with periods of low variability of values. During the demonstration of the developed algorithm, it was proven that the effect of a given minimum threshold of fixation duration on the result is significant. The proposed adaptation of DTW will improve the quality of visual data analysis and can be applied to understanding the mechanisms of human perception and decision-making in various fields of activity, such as psychology and marketing, as well as to developing effective methods for testing interfaces.

Keywords: dynamic time warping algorithm, eye tracking, time series, gaze trajectory, gaze fixation duration

Mathematical modeling, numerical methods and program complexes (technical sciences). Geopolitical situation analysis of a number of episodes of the American Revolution in the context of applying structural balance and mathematical modeling methods. Structural balance management can help to find the most optimal strategies for interacting parties. This approach is used in a set of disciplines. In this article, the author analyzes examples of actors' interaction in the context of the American Revolution, which allows us to evaluate the state of affairs at this historical stage in an illustrative form. This approach is universal and is able to emphasize the management of structural balance in systems with actors, each of which has its own features and interests. A number of specific historical episodes serves as an example of the balanced and unbalanced systems. Each episode has its explanation in the frame of history. During the American Revolution, actors (countries and specific politicians, as well as indigenous peoples) had their own goals and interests, and their positive or negative interactions shaped the course of history in many ways.

Keywords: mathematical modeling, structural balance, discrete models, sign graph, U.S. history

The installation of foundations of production facilities on sites subject to karst formation and suffusion processes in conditions of weak soils is a serious problem in the design and construction of large distribution centers. In such a situation, it is necessary to calculate the load-bearing elements of the building for the effect of the lack of reaction of the base under the sole of the foundations on a site with a diameter of 3.0 m, located in the most unfavorable places from the point of view of structural work. Such unfavorable locations of a karst sinkhole can be determined by digitally constructing "influence functions" and obtaining "envelope" diagrams of pressure on the base, foundation sediment, and structural reinforcement. If the maximum allowable precipitation of the foundations obtained by calculation is exceeded, it is possible to strengthen the soils by layer-by-layer recycling, which will allow reaching the normative indicators.

Keywords: karst formation, suffusion, sinkhole, calculated combination of loads, special combination of loads, reinforcement, foundation sedimentation, ground pressure

The article explores the actor model as implemented in the Elixir programming language, which builds upon the principles of the Erlang language. The actor model is an approach to parallel programming where independent entities, called actors, communicate with each other through asynchronous messages. The article details the main concepts of Elixir, such as comparison with a sample, data immutability, types and collections, and mechanisms for working with the actors. Special attention is paid to the practical aspects of creating and managing actors, their interaction and maintenance. This article will be valuable for researchers and developers interested in parallel programming and functional programming languages.

Keywords: actor model, elixir, parallel programming, pattern matching, data immutability, processes, messages, mailbox, state, recursion, asynchrony, distributed systems, functional programming, fault tolerance, scalability

An optimization model has been developed for the minimum required number of employees carrying out transport security measures included in transport security units, taking into account the algorithm for distributing employees, including various groups according to individual functions performed at different security levels, as well as the likelihood of various threats to transport security.

Keywords: transport strategy, digitalization of transport security, cost optimization, transport security units, requirements for ensuring transport security

The cargo turnover of modern distribution centers of network operators reaches hundreds of thousands of tons per year. The technological load on the floors in the warehouse part of the building is 8-10 t/m2 (80-100 kPa), on the floors – up to 2.4 t/m2 (24 kPa). These loads transfer significant pressure through the foundations of the frame to the ground, which, with large sole sizes and mutual influence, increases the lower boundary of the compressible thickness and, as a result, the draft of structures. In the presence of weak soils at the base, precipitation reaches exorbitant values. The situation is aggravated by the high groundwater level, which also increases the sedimentation of foundations. The article presents and analyzes options for solving the problem by strengthening the base by compacting the top layer and cementing it to different depths depending on the pressure and construction of the foundation.

Keywords: reinforcement of the base, recycling, permissible calculated precipitation, calculated soil resistance

This study investigates the applicability of pultruded glass fiber–reinforced polymer composites for structural components in oilfield infrastructure, focusing on their performance under aggressive environmental conditions. The introduction highlights the challenges of corrosion and logistics in traditional steel-based oilfield structures, proposing polymer composites as a viable alternative due to their low weight and high resistance to environmental degradation. The research objectives included evaluating the composites’ resistance to chemical exposure, freeze–thaw cycles, and climatic aging. Experimental methods involved testing density, water absorption, tensile strength, and modulus of elasticity under simulated oilfield conditions, including immersion in 1 wt% NaOH and 10 wt% HCl, frost resistance tests in 5 wt% NaCl, and cyclic temperature–humidity exposure. Results showed that the composites maintained ≥90% tensile strength, ≥85% flexural modulus, and water absorption ≤0.5% after 240 hours of exposure, with no significant degradation observed. Statistical modeling identified serviceability thresholds for specific environmental parameters. The study concludes that pultruded polymer composites are feasible for oilfield infrastructure, offering comparable mechanical performance to steel with reduced operational costs.

Keywords: pultrusion, glass fiber composite, polymer composite, oilfield infrastructure, environmental degradation, mechanical property, chemical immersion, freeze–thaw cycling, climatic aging

The article discusses a mathematical model of the production application distribution process on an aggregator platform. A formal approach based on a finite state machine and Petri nets is proposed to describe the states of orders, their transitions and constraints. A comprehensive model has been developed that takes into account the criteria for selecting a contractor, selecting equipment, and analyzing the production process, taking into account time, cost, and resource availability. The presented approaches ensure accuracy and efficiency in order management on digital production platforms.

Keywords: mathematical modeling, finite state machine, Petri net, digital production, service aggregator, choice of contractor

This paper presents a highly technical implementation of an ECG-based biometric identification system utilizing deep learning models for both verification and closed-set identification. We propose a dual-model architecture comprising a Siamese neural network for one-to-one verification and a deep convolutional neural network (CNN) for one-to-many classification. The methodology includes comprehensive signal preprocessing, data augmentation to simulate physiological variability, and feature extraction tailored to ECG characteristics. Experimental evaluation on benchmark ECG datasets demonstrates the effectiveness of the proposed system. The Siamese network achieves high verification accuracy with low equal error rates, while the CNN classifier attains state-of-the-art identification accuracy (exceeding 98% on average) across enrolled subjects. Key performance metrics—accuracy, precision, recall, and F1-score—indicate robust performance, outperforming several existing biometric methods. The results highlight the viability of ECG-based authentication in real-world applications.

Keywords: biometric authentication, electrocardiogram (ECG), siamese neural network, convolutional neural network, qrs complex, signal processing

The paper describes an automated security system for a mining container: a short circuit protection system for smooth start-up of equipment, temperature control and fire prevention of devices.

Keywords: mining, electrical safety, temperature maintenance, fire prevention, automated system

Analytical dependences have been obtained that make it possible to assess the influence of various factors on the degree of enlargement of microflakes formed in the thickness of the coarse-grained load after the introduction of coagulant. To assess the intensity of the coagulation process, the values of the mixing rate gradient were obtained depending on the filtration rate of coagulated water in a coarse-grained load. Graphs are also provided that establish the dependence of the mixing rate gradient depending on the filtration rate of coagulated water in a coarse-grained load. A scheme of coagulation treatment of natural water using a contact chamber with coarse-grained loading and receiving concentrated coagulation is proposed, which is recommended for intensifying the operation of typical hydraulic mixers of water treatment plants and reducing the required doses of coagulant.

Keywords: contact coagulation, natural water, mixing devices, mixing rate gradient, filtration rate

The methods and approaches to reduce the wear of bearings and blades of electric generators are analyzed to increase the service life of the equipment, improve its reliability and efficiency. An analysis of the factors affecting wear is given, including mechanical, temperature and operational loads. Calculations are performed confirming the effectiveness of using modern materials, improved lubrication systems and optimized process modes. It is shown that the comprehensive implementation of the proposed solutions can significantly reduce the wear rate, reduce maintenance and repair costs, and ensure stable generator performance. The recommendations presented can serve as a basis for upgrading existing equipment and designing new power plants.

Keywords: building structures, metal structures, energy facilities, stress-strain state, technical expertise

The paper proposes an approach to improve the efficiency of machine learning models used in monitoring tasks using metric spaces. To solve this problem, a method is proposed for assessing the quality of monitoring systems based on interval estimates of the response zones to a possible incident. This approach extends the classical metrics for evaluating machine learning models to take into account the specific requirements of monitoring tasks. The calculation of interval boundaries is based on probabilities derived from a classifier trained on historical data to detect dangerous states of the system. By combining the probability of an incident with the normalized distance to incidents in the training sample, it is possible to simultaneously improve all the considered quality metrics for monitoring - accuracy, completeness, and timeliness. One approach to improving results is to use the scalar product of the normalized components of the metric space and their importance as features in a machine learning model. The permutation feature importance method is used for this purpose, which does not depend on the chosen machine learning algorithm. Numerical experiments have shown that using distances in a metric space of incident points from the training sample can improve the early detection of dangerous situations by up to two times. This proposed approach is versatile and can be applied to various classification algorithms and distance calculation methods.

Keywords: monitoring, machine learning, state classification, incident prediction, lead time, anomaly detection