Application of information technologies and modern economic-mathematical methods for managing the competitiveness of higher education institutions

The article reviews the main problems of competitiveness of higher educational institutions of Ukraine. The main directions of its increase by optimization of educational process are analyzed. A methodology for increasing the effectiveness of monitoring the quality of education through the introduction and combination of modern economic and mathematical methods for predicting the quality of education is developed. As a mathematical apparatus, the Markov chains mechanism was applied.