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Mathematical Model for Designing and Optimizing the Structure of Basic Professional Educational Programs

Dar'ya Sergeeva

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Source: Crossref

Published: Oct 14, 2026

DOI: 10.20295/978-5-6051249-8-6-12

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Source abstract

The article proposes a mathematical model for automating the design of Basic Professional Educational Programs (BPEP) in the form of a weighted directed graph that combines disciplines, competencies, and labor market requirements. An algorithm for calculating the weight coefficients of links based on the semantic chain of texts (TF-IDF method) is implemented. The problem of multi-criteria optimization of the BPEP structure is formulated. The practical innovation lies in creating a theoretical basis for the software system “BPEP-Analyst”.

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Mathematical Model for Designing and Optimizing the Structure of Basic Professional Educational Programs — Mathematical Frontier Network