The study considers the peculiarities of cargo transportation by road in the conditions of new geopolitical and military threats and indicates the increase in the specific role of this mode of transport in the national freight circulation. It is established that the greater reliability of car cargo transportation leads to an increase in their strategic importance in the conditions of the latest threats not only for the sustainable development of the country's economy, but also for national security. The mathematical apparatus of evaluating the use of road transport when cargo transportation is developed to ensure properly management levels. Two levels of cargo transportation management are considered – a national level of efficiency and the level of efficiency of a logistics company. It is stated that the national level necessitates, first of all, the realization of the problem of reliable transportation of goods. Therefore, to evaluate the effectiveness of a logistics company, it is necessary to analyze its economic indicators. It is proposed to be used as an indicator of the efficiency of freight transportation of national importance to increase the number of non -zero cells of the Boolean matrices in the developed mathematical model. The algorithm for using a group of integral target functions was developed for the enterprise level. For this purpose, a mathematical model of approaching a set of local target functions to their best values on the surface of the integral target function in the parameter space is implemented. For the economical use of the volume of calculating resources, it is proposed to distinguish pseudo static variants of transportation of goods, that is, such parameters of influence which are not significantly changed over time. If changes in time become significant, the introduction of the developed dynamic model is proposed. The developed mathematical model allows not only to solve the problem of finding the best values at the same time for several target functions, but also to evaluate comparatively the options for the use of road transport when transporting goods by the enterprise and to calculate the rank of these options in accordance with the level of their approximation to the best values of the target functions. Keywords: road transport, cargo transportation, target function, evaluation, mathematical model.

Urgency of the research. The institutional basis that creates the asymmetry of transport markets is due to the disadvantages of the relevant legislative provision, which reorientation of traffic flows in the other direction. Target setting is the analysis of the current legislation for the purpose of assessing the regulatory impact on transport services markets and identifying the conditions that constitute those or other obstacles. Actual scientific researches and issues analysis. Back in the 1980s and 1990s, the theory of asymmetry. Uninvestigated parts of general matters defining. Asymmetry is conditioned by external and internal factors: institutional barriers and lack of institutional support. The research objective. Investigation of the institutional basis's influence on the level of asymmetry of the transport market and identification of the direction of its elimination The statement of basic materials. Considers the content of the institutional basis work that creates the asymmetry of transport markets, which mainly affect the creation of artificial barriers to the free-of-charge ironing of goods in inland waterways of Ukraine. So, analyzed the situation on the domestic transport services market in Ukraine in comparison with other countries of the world. As well as analyzing two major draft laws on inland water transport presented to the Verkhovna Rada of Ukraine, which will determine and regulate the further situation. Deficiencies and failure to take into account some of the pointsare identified. This will allow the creation of the same conditions for the transport of river transport for national and foreign carriers. What to reduce the level of asymmetry in the domestic transport market of Ukraine. Conclusions. Elimination of the asymmetry of the domestic transport market of Ukraine should be linked to such basic requirements for the development of appropriate institutional arrangements that should be in line with the existing system of international agreements and regulations, as well as create a level playing field for all participants in the water transport market, regardless of ownership.