A special place among the problems of rock pressure is occupied by the fixing and management of the roof in the cleaning space. Domestic and foreign researchers have studied these issues on models and in mine conditions. In this case, the main importance was attached to the depth of development, the power and strength of coal and side rocks, the length of the face, the speed of movement of the face, as well as the choice of the type of fastening and roof management. Although many scientists and mining practitioners recognize the significant importance of the time factor and its impact on the reliability of the support, but in research it is almost not taken into account. At shallow depths, with negligible mining pressure, the time factor and reliability do not play a significant role. With the depth of development, a significant increase in mining pressure leads to changes in the physical and mechanical properties of rocks. The tendency to heaving increases, their plasticity, creep and fluidity increases. These processes, as well as the processes of rock destruction proceed in time differently. Therefore, it is impossible to study mining processes without taking into account the time factor and its influence on the reliability of production schemes ...