According to expert estimates, professionals who can study throughout life, think critically, set goals and achieve them, work in a team, communicate in a multicultural environment, and possess other modern knowledge and skills will be the most successful in the labor market in the near future. That is why, in this article, the authors analyze the processes of educational and qualitative personality growth based on diffusion-like models of the process of knowledge potential dissemination and redistribution. In particular, an emphasis is put on the process description (modeling) of the knowledge potential redistribution in the formation of the system of professional competencies. The conceptual and nonlinear mathematical models of information processes of the agents’ “knowledge potentials” formation are developed taking into account their constituent components and customer requests. In particular, the procedure of constructing the previously proposed multi-component two-dimensional array of discrete values of the knowledge potential constituent components for generating procedures to enhance (improve) the professional competencies of knowledge sources, is generalized and specified. The general approaches to the formation of the corresponding optimization problems are determined (in particular, the minimization of the employer and educational institution costs and the time for training an agent in the dual system). © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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