МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ДЛЯ ОПТИМІЗАЦІЇ РЕСУРСІВ УНІВЕРСИТЕТУ НА ОСНОВІ ПОКАЗНИКА QS WUR

The article presents a retrospective analysis of the key indicators of the QS World University Rankings for Ukrainian higher education institutions with the aim of establishing realistic development targets for NTU “KhPI.” The dynamics of ranking indicators are examined in comparison with leading Ukrainian universities, which made it possible to determine achievable growth limits for each indicator in the medium-term perspective. Based on the obtained results, a system of target values was formed, which can be used by the university to improve its position in the ranking. A mathematical model for optimizing resource allocation is proposed, aimed at minimizing the deviation between actual and target indicator values. The model is presented as a quadratic programming problem with Boolean variables and linear constraints that reflect the university’s limited resources and the set of possible measures for improving each indicator. Given the nonlinearity of interconnections and the incompleteness of initial data, the use of a genetic algorithm is justified, as it ensures an effective search for optimal resource allocation options under multicriteria conditions. It is additionally emphasized that the proposed approach enables the adaptation of the university’s development strategy to the dynamic conditions of the international educational environment and takes into account changes in the weights of individual indicators in the ranking methodology. The model can be used as a tool for scenario analysis and for generating various management decision options. The practical significance of the study lies in the possibility of integrating the obtained results into the university’s strategic planning system. The results form a foundation for creating an information system to support strategic management in higher education institutions. Further research includes experimental validation of the model using retrospective data from NTU “KhPI” and the development of a software tool aimed at enhancing the effectiveness of management decisions and improving the university’s position in international rankings.