MATHEMATICAL MODEL OF MANAGEMENT OF THE EDUCATIONAL SYSTEM OF THE UNIVERSITY USING THE APPROACH OF DISSYMMETRY AND THE APPARATUS OF CHAIN FRACTIONS

Author(s): Parfenova Maria Yakovlevna

Rubric: Mathematical cybernetics

DOI: 10.21777/2500-2112-2019-3-57-64

Release: 2019-3 (28)

Pages: 57-64

Keywords: educational system, stability, dissymmetry, chain fractions, discrete-continuous transformations

Annotation: Management of educational system in dynamically changing external and internal conditions is connected with systematic assessment and analysis of its stability and competitiveness, necessity of improvement of management mechanisms taking into account modern requirements. The paper solves the scientific problem of improvement of mathematical support of the processes of management of the educational system of the University. Within the framework of solving the scientific problem, it is proposed to apply the approach of dissymmetry to management, which is manifested in the relationship of the selected static and dynamic parts, and the creation of a mathematical model that reflects the mutual influence of static and dynamic parts on the effectiveness of educational activities of the University. A mathematical model based on the apparatus of chain fractions and discrete-continuous transformations, which allows at the system level to identify deviations in the implementation of educational activities of the University and detail them at the levels of management, is proposed. Numerical examples of application of mathematical model for the analysis of the ratio of potentials of static and dynamic parts on levels of decomposition in the form of the normalized integral indicators presented in the form of suitable fractions and transformed into space of images are considered.

Bibliography: Parfenova MA.YA. MATHEMATICAL MODEL OF MANAGEMENT OF THE EDUCATIONAL SYSTEM OF THE UNIVERSITY USING THE APPROACH OF DISSYMMETRY AND THE APPARATUS OF CHAIN FRACTIONS // Education Resources and Technologies. – 2019. – № 3 (28). – С. 57-64. doi: 10.21777/2500-2112-2019-3-57-64