Headings of the journal
"Educational Resources and Technologies"

Annotation: The article is devoted to the development and empirical testing of a formalized methodology for analysis and assessment of CRM system development options in the context of changing business processes. The methodology is based on the integration of multi-criteria analysis and key performance indicator (KPI) monitoring methods. In order to select alternatives for the development of a CRM system, a combination of AHP–TOPSIS methods is used, which allows us to considerate the diverse technological, economic, organizational, managerial, and stra- tegic criteria with control over the consistency of expert assessments. During the study, a system of criteria was formed and refined, metrics for the effectiveness of the system reconfiguration procedure and validation criteria (expert agreement, stability of ranking to weight changes, KPI dynamics after implementation) were defined. An empirical test of the developed methodology was conducted based on the AmoCRM information system in a small/medium-sized business. The results of the empirical test showed a statistically significant improvement in key KPIs. The research results confirm the effectiveness of the proposed methodology and its applicability for improving the validity of decisions on the development of CRM systems.

Annotation: The study tests a reproducible procedure for applying fractal and topological methods to open cross-country labour-market data. The empirical base consists of annual WDI unemployment series, indicator SL.UEM.TOTL. ZS, for Russia, the United States, Germany and the European Union aggregate for 1991–2025. The methodol- ogy combines detrended fluctuation analysis for levels and first differences, exploratory MFDFA diagnostics and descriptive persistent-homology indicators for delay embeddings. It is shown that the level series reflect the trend instability to a greater extent, while the first differences provide a more correct basis for a careful interpretation of scale properties. The main scientific result is the separation of trend, scaling and topological components in unemployment dynamics. The effectiveness of the procedure lies in reducing the risk of falsely interpreting trend persistence as long memory in short annual samples.

Annotation: Modern microservice applications generate a significant amount of telemetry data necessary to ensure the observability and rapid diagnosis of incidents. However, full tracing of all requests becomes economically impractical due to the overhead of collecting, storing, and processing information. The article discusses methods of adaptive sampling of distributed tracing, which allow dynamically adjusting the amount of data collected depending on the current state of the system and query characteristics. The architecture of the tracing system is proposed, which includes a compo- nent of self-learning selection of traceable queries based on the analysis of metrics and query features. An algorithm is presented that combines system and behavioral criteria for evaluating the significance of queries. Experimental modeling has shown that the proposed approach can cover up to 90 % of abnormal cases while reducing the volume of telemetry by more than six times compared to the full collection. The results demonstrate the promise of adaptive sampling for increasing the efficiency of observability in microservice systems without increasing infrastructure load.

Annotation: The article describes the process of developing competencies, taking into account the time it takes to achieve them. A systems approach allowed us to formulate the problem of constructing an individual educational route while minimizing training time. A mathematical model is proposed as a modification of the routing problem. A directed weighted graph is used to represent the initial data, where the vertices represent competency achievement indicators, and the arc weights reflect the asymmetric impact of the sequence of studying educational topics on time costs. A hybrid approach has been developed that com- bines neural network technologies and classical expert assessment methods to automate the identification of intercompetency connections between educational technologies. An application software module based on a genetic algorithm is used to create an individual educational route. An example of the practical application of the proposed approach based on the “Digital Literacy” educational module is described. A computational experiment confirming the effectiveness of the proposed approach for creating individual educational routes that minimize time costs while maintaining the complete acquisition of the required competencies is conducted.

Annotation: The article examines the conceptual design of an intelligent English language learning system based on the use of large language models and focused on the support of an English teacher at a university. The relevance of the research is due to the growing role of the English language in academic and professional communication, as well as the active development of digital educational technologies. The proposed system is considered as an AI teaching assistant capable of supporting automated verification of written works, identification and comment- ing on language errors, the formation of personalized feedback, as well as the preparation and moderation of educational discussions. The article provides an overview of modern research in the field of education technol- ogy. On this basis, a conceptual model of an intelligent system is proposed, including diagnostic, evaluative, dialogical and analytical modules. Special attention is paid to the description of a computational experiment aimed at experimentally verifying the effectiveness of an AI assistant in solving the tasks of an English teacher at a university. It is shown that the practical value of such systems is determined not only by the quality of text generation, but also by the pedagogical correctness of feedback, the degree of controllability of the model and its integrability into the real educational process.