The special importance is gained by questions of stability of the Russian economy. Strengthening of this stability in the conditions of information revolution was resulted in need of transition from "material" to the "intellectual" economy which is based on knowledge (knowledge based economy). In this regard a problem of formation of competences of the sphere of the higher education receives a priority by preparation of the engineering and scientific shots creating the main part of profit. The article deals with the quality of service in the libraries of the university. We propose the automated system of models of management of information resource, consisting of three complexes, allowing to simulate the process of care, foresee the results of management decisions taken and choose the best of them. The complex of economic-mathematical models of quality management of service is presented in a natation of UML. Proposed economic and mathematical models for assessing the quality of decisions. The process of calculating the ratio of the qualification level of staff and the corresponding service time is shown.