The article describes a theoretical approach to solving the problem of train integrity monitoring by on-board means. The existing approaches and technical solutions in this area have been analyzed. Currently, no theoretical basis required for the design and operation of on-board train integrity monitoring systems exists. Topical theoretical studies have been carried out to identify general patterns and algorithms, as well as the synthesis of analytical models of the functioning of these systems. It has been established how an independent power source within the on-board train integrity monitoring system (depending on the operational features and errors occurring in the communication channel during data transmission) affects the traffic control system and the section capacity. This is represented by the obtained mathematical models and dependency graphs. The results obtained will be useful in the design and operation of on-board train integrity monitoring systems and traffic control systems governed by satellite positioning rules.
Train integrity monitoring, completeness, algorithms of functioning, the principle of operation, train traffi c control, section capacity