Abstract:

The world has entered the third millennium. Society is interested in the future and wants to know what it can do to shape it. There is no definite answer to this question; however we do know that in the future we will need a society that studies. Education raises self-esteem, facilitates career development and serves as the resources for personal development. The article defines the nature of the model of dependencies between the input parameters of education.
Different approaches dealing with the problems of management of education in all cases correspond to three dimensions. These include the knowledge of graduates, time and costs of education.
This makes it possible to formulate in the language of optimization the problems of the three completely equitable management strategies of the higher education institutions (HEIs).

The first strategy. Refers to the given study period and financial resources to ensure the highest quality of education process.
The second strategy. Refers to the given study period and the level of education quality to minimize the learning financial expenses.
The third strategy. Refers to the given training financial resources and the level of quality of training to minimize the period of study.

In general, the implementation of a strategy requires different management decisions, to evaluate the effectiveness that must have some quantitative estimates, which in turn requires the development of appropriate mathematical models.
The learning process in higher education, in terms of financing the education, is characterized by three parameters: the cost of education - S, time of education - T and the knowledge level of HEIs students - H. These parameters can be assigned to either one student or all students at the HEIs. At the same time the medium level of the student's knowledge can be understood as its average score of the study results of all study courses. The parameter H is the average indicator of all students.
The article reviews the problem of the link between these three basic parameters that define the common position of the educational process. It is quite clear that such a task, given the large number of various factors, is unlikely to be strictly solved. Therefore, to determine the most general laws of a simplified model of the process, which takes into account the main connection between the above-named parameters, it is necessary to use the apparatus of mathematical statistics and the theory of probability. This approach allows identifying the main trends of the influence of these parameters on the tasks to be solved. Moreover, identifying these trends, it will be possible to formulate the requirements for further refinement of the model in order to obtain, at least approximately, a certain proportion and characteristics. Thus, the challenge is to relate the three parameters introduced above and define the strategy in education of the state and HEIs.

In general, the cost of education in a complex manner depends on both the education time and is formed from the level of HEIs students' knowledge. To develop the desired model it is assumed that the funds related to the duration of education and resources ensure the quality of education and the knowledge level of students, independent of each other.

Keywords:

Optimization strategy, Higher Education.