Kazakh and foreign economists note that the decline in industrial and agricultural production, stagflation of the economy of the Republic of Kazakhstan in the post-crisis period require a deep analysis of the current situation and careful development of appropriate economic and managerial decisions. In these circumstances, it is necessary to find the most effective ways out of the crisis.It is obvious that it makes no sense for the Republic of Kazakhstan to fully follow the centuries-old path of becoming an industrially developed country. Without a doubt, the modern market economic system should serve as a reference point, which, in addition to free competition, also has numerous internal and external levers of management and regulation, including state ones, which in their essence suppress bursts of fluctuations in the market element and allow using all the advantages and advantages of market relations.One of these ways in the market economy, according to many experts, with whom it is difficult to disagree, is the design of logistics models, the formation, implementation and organization of the rational functioning of logistics services, structures, management systems at the on-farm, industrial (micro logistics) and macroeconomic, international, national, regional (macro logistics) levels, the widespread development and application of logistics methodology, technologies and tools, creation of logistics management systems that differ in their functional purpose and organizational and economic level.When integrating the economy of the Republic of Kazakhstan into the world economic community, there is an increasing need to create reliable, dynamic and efficient domestic logistics management systems that could optimally interact with the national logistics systems of foreign countries in international economic and logistics processes at the macro - and micro logistic levels.These logistics systems are designed to facilitate the rational movement of any flows of information, goods, capital and people both within the country and across the borders of States, taking into account the national peculiarities of customs clearance and support.

In recent years, there has been a steady increase in the volume of traffic. According to experts ' forecasts, the demand for product transportation will continue to increase. Meanwhile, the supply for the capacity of the lines is actually exhausted. Therefore, the most important task of railway transport in the near future will be to increase the carrying capacity and capacity.Increasing the carrying capacity of railway transport can be achieved by: increasing the average speed of trains, building additional tracks, increasing the length and weight of freight trains, reducing inter-train intervals, and organizational measures. To increase the average speed of trains, it is necessary to improve the quality of track maintenance and rolling stock, in addition, certain sections of the track will need to be reconstructed. These measures, including the construction of additional tracks, are long-term and will lead to significant material costs. Increasing the length and weight of freight trains leads to an increase in the number of accidents.The most effective way to increase the carrying capacity is to reduce the inter-train intervals in conjunction with a number of organizational measures.With the coordinate method of interval control, the programs and algorithms obtained on the basis of mathematical models must guarantee the safety of trains with minimal intervals.This fact confirms the need to conduct a set of studies in the field of methodology for ensuring safety and organization of train traffic by clarifying existing and developing new mathematical models of train movement in relation to the specifics of the coordinate method of interval regulation.