The purpose of the work is to develop a computer system for calculating and optimizing the hot rolling modes of the headquarters, forecasting and increasing the residual life of rolling mill equipment. It is shown that in recent years there has been a steady increase in the production of hot-rolled staffs of high-strength steels and especially thin staffs. Mastering the production of such strips leads to an increase in the load on the equipment of rolling mills. The result is increased wear of equipment elements and their premature failure. The Institute of Ferrous Metallurgy of the National Academy of Sciences of Ukraine has developed a computer system for online monitoring of the residual resource of the wide strip hot rolling mill. The main functions of the computer system are: adaptation of models of power parameters of the rolling process; verification of models according to the actual assortment; calculations of power parameters according to adapted models; optimization of rolling modes to ensure the allowable values of power parameters of rolling and the target temperature of completion of rolling, the maximum productivity of the mill; calculations of the number of load cycles of elements in the equipment of the mill; estimation of the residual resource of the equipment taking into account its initial values. The following schematization methods were chosen for the design of the residual resource forecasting system: for dynamic loads - the method of allocation of complete cycles, for static loads - the method of extremes. All objects of the drive line which are diagnosed are divided into three classes: details which can be both separately, and as a part of knots or units; units that can be both separately and as part of units; units consisting of parts and assemblies. The calculation of the residual resource is performed only for details. The residual life of the node or unit is determined by the part that is part of it and has the smallest residual life. The developed computer system was tested on one of the existing hot strip mills. To do this, the transfer of source data contained in industrial databases to the developed computer system for monitoring the residual resource was established. The test showed a fairly high reliability of forecasting the power parameters of the rolling headquarters and the assessment of the residual life of the equipment and the drive line of the rolls of the working stands.