### Article

## Интеграция науки и образования в отечественной статистике: проблемы и перспективы развития новых методологических подходов

The actual problems of the integration process in the field of science and education and the forms of their government supporting have been discussed in the article. Its have been studied the sources of information of the integration process and presented statistical analysis of this phenomenon, taking into account the necessary OECD data.

The result of statistical data study demonstrates their incompleteness and absence of the demanding statistical calculation of the integration process in the sphere of science and education.

In the framework of the article the new approaches for forming statistics of integration science and education have been suggested: the first one based on the refinement of the acting statistical accounts; the second – oriented to the development of the structure of the new survey targeted to the studying of integration activity between R&D organizations and organizations of higher education.

A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.