In this paper, a mathematical model for determining the reliability of
ventilation plants was given and said ventilation plant was checked using a
specific example for two types of fans operating in different modes due to
the difference in the age of the fans. Within the framework of the paper,
the principles of arrangement of ventilation systems of mines are stated,
after which the mathematical model for determining the probability of
reliability of ventilation systems is presented. For checking and proving
the given mathematical model, coal mines in Serbia have been selected. The
experimental part presents the basic characteristics of the main fan plants
of active underground coal mines in Serbia, and based on the given
mathematical model and collected data on downtime in the operation of the
main fan plants at coal mines, the reliability of their operation is
calculated. The paper confirms that the proposed method of determining the
mathematical probability of reliability of ventilation systems can be used
as an initial indicator of ventilation systems, where regular plant
maintenance and application of this mathematical model could predict and
prevent the operation of ventilation systems, and thus extend their
lifespan. By processing the data on the operation of ventilation plants, the
appropriate empirical dependence of the reliability parameters was obtained
with the corresponding dependence, which enables application in practice.