A HYBRID APPROACH FOR OPTIMIZING INDIVIDUAL EDUCATIONAL TRAJECTORIES BASED ON MODELING INTER-COMPETENCE RELATIONSHIPS
Author(s): Mikhailova A.N., Filippova A.S.
Rubric: System analysis, information management and processing
DOI: 10.21777/2500-2112-2026-2-116-129
Release: 2026-2 (55)
Pages: 116-129
Keywords: individual educational route, routing, indicators of achievement of competencies, minimization of training time, intercompetence links, expert assessment, genetic algorithm, systems approach
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.
Bibliography: Mikhailova A.N., Filippova A.S. A HYBRID APPROACH FOR OPTIMIZING INDIVIDUAL EDUCATIONAL TRAJECTORIES BASED ON MODELING INTER-COMPETENCE RELATIONSHIPS // Education Resources and Technologies. – 2026. – № 2 (55). – С. 116-129. doi: 10.21777/2500-2112-2026-2-116-129