Paradigm of economic and mathematical model of rating of educational institutions

Abstract

Purpose. The aim of the article is the development of a mathematical model that can be used to determine the ranking of the best educational institutions in the region and systematize educational institutions into appropriate clusters, taking into account their industry significance, ownership, efficiency of public funding and own revenues that effectively use innovation and research potential. Methods of research. The methodological and theoretical basis of the study was the theories and views presented in the works of scientists. The results of the study were obtained using both general and special methods of scientific knowledge. The general theoretical context of the research is considered on the basis of the dialectical method; the method of analysis and synthesis was used in identifying global problems of institutions in world-class higher education. Argumentation of theoretical provisions that characterize the patterns of functioning of research, production and educational institutions in the global space, formed on the system analysis, the laws of logic, the method of scientific abstraction. Mathematical tools were used to determine the amount of fixed assets, total expenditures and revenues of general and special funds of the budgetary institution. Findings. An economic and mathematical model and a simplified formulation of the optimization problem have been developed. Mathematical modelling was performed, which made it possible to construct a model as a system of mathematical relations describing certain technological, economic or other processes. Originality. The article singles out and substantiates the model that allows, unlike existing ones, to form clusters of educational institutions with the help of economic and mathematical modelling, taking into account their sectoral significance, form of ownership, efficiency of public funding and own revenues that effectively use innovation and research potential. Practical value. The results of clustering based on a substantiated model of educational institutions will allow to obtain additional funding for higher education institutions. Key words: budgetary institutions, institutions, mathematical model, rating, general and special funds, budgetary allocations, fixed assets.

Development of a method for selected financing of scientific and educational institutions through targeted capital investment in the development of innovative technologies

“…Next, the calculation of the second component, namely the indicator of the innovative potential of a scientific and educational institution from the production of innovations, was made based on the classification of educational institutions by the level of efficiency and volume of property, to assess the implementation of innovative potential [29].…”

“…The classification was carried out on the basis of the methodology [29], where it is indicated that for each scientific and educational institution n, the innovative potential of the scientific and educational institution from the production of innovations PN n is determined on the basis of indicators of the volume of income of the special fund Dsf n and the volume of expenses of the budgetary institution V n . Formula for calculation: PN n =Dsf n /V n .…”

“…According to the proposed methodology, research and educational institutions are further grouped into categories according to the effectiveness of financing, property, and on the basis of the data obtained, clustering is carried out [29].…”

Methodological Fundamentals of Support of Scientific and Educational Institutions Through Targeted Capital Investments

“…Next, the calculation of the indicator of the innovative potential of a research and educational institution from the implementation of innovations based on the classification of educational insti tutions by level of efficiency and amount of property, to assess the implementation of innovation potential was conducted [28].…”

“…The classification is based on the method [28], which states that for each research and educational institution n innovation potential of the research and educational institution from in novation PN n is determined based on the revenue of the special fund Dsf n and expenditures of the budget institution V n . Formula for calculation:…”