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** Description:** First formalized is a system of dangerous goods railway transportation in the form of an oriented graph of states, namely: safe operation of the system, the onset of an emergency, its evaluation, localization and liquidation of its consequences, as well as the return of the system to its original state; the mathematical models of the probability of the system stay in a state of safe operation, depending on the application of various technological and organizational measures to support the system in a reliable state.

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Keywords:
** mathematical model, emergency response, dangerous goods, rail, liquidation activities

Myronenko, V.K., Katsman, M.D., Horbakha, M.M. and Matsiuk, V.I. (2015), “Matematychna model staniv ta nadiinosti zaliznychnoi transportnoi systemy pry perevezenniakh nebezpechnykh vantazhiv” [Mathematical model states and reliability Railway transport system of dangerous goods transportation],