The current stage in the development of transportation in river ports is characterized by an increase in requirements for the timing of cargo delivery, quality of transportation, reduction of costs for transport and storage operations. In the transportation system, transport hubs are the central link, since cargo delivery begins and ends in them, processes of transhipment of cargo from one mode of transport to another take place.
Should be noted that transhipment operations at the port are among the most time-consuming and difficult work on river and sea transport, the implementation of which is impossible without the use of modern information technologies and automated systems. Since the use of such systems can reduce the time and increase the quality of cargo handling.
A mathematical model of a discharge point at the port is explicated, which describes the process of its functioning, is a state graph for a transport node. To calculate the probabilities of all possible states of this system, a system of algebraic equations is used. This allows to simplify the calculation of the possibility of transition from one state to another, which are determined by the state of trucks, since the solution of the resulting system of linear algebraic equations is not difficult and can be implemented in any mathematical program package.
The waiting and maintenance times of trucks A and B are determined, with calculated by the ratio of the probabilities of the system states, quantitative values can be considered as justification for deciding on determining the efficiency of the transport system.