Process for optimized monitoring of wear on components of a grinding mill , particularly on grinding rolls of the grinding mill, that detect an optimized future time for maintenance of the grinding mill by means of a control unit for controlling the grinding mill, a sensory system for detecting measurement data on technical parameters relating to a wear condition of a component and an operating state of the grinding mill, an analysis unit to analyze wear behavior of the grinding mill and at least one data transmitter and at least one data receiver to exchange data, wherein the sensory system detects measurement data on the wear condition of at least one component and on the operating state of the grinding mill periodically or continuously over time, the analysis unit assigns the measurement data to at least one parameter on the wear condition of at least one component a degree of wear of the at least one component and the degree of wear to a maintenance loss, corresponding to a yield loss based on technical maintenance of at least one component, the analysis unit derives from several pieces of measurement data detected at different times a future wear condition at a time in the future and assigns the future wear condition to a future degree of wear and a future maintenance loss, the analysis unit assigns the measurement data on at least one parameter of the operating state of the grinding mill a grinding yield value that specifies the yield from operation of the grinding mill, and determines a grinding yield loss relative to a target yield level of the grinding mill. the analysis unit derives a future operating state from several pieces of measurement data detected at different times, and derives a future grinding yield loss at a time in the future therefrom and the analysis unit optimizes a maintenance time (TW) in the future, by establishing as the future maintenance time (TW) that time at which the future maintenance loss corresponds to the future grinding yield loss. the sensory system detects measurement data on the wear condition of at least one component and on the operating state of the grinding mill periodically or continuously over time, the analysis unit assigns the measurement data to at least one parameter on the wear condition of at least one component a degree of wear of the at least one component and the degree of wear to a maintenance loss, corresponding to a yield loss based on technical maintenance of at least one component, the analysis unit derives from several pieces of measurement data detected at different times a future wear condition at a time in the future and assigns the future wear condition to a future degree of wear and a future maintenance loss, the analysis unit assigns the measurement data on at least one parameter of the operating state of the grinding mill a grinding yield value that specifies the yield from operation of the grinding mill, and determines a grinding yield loss relative to a target yield level of the grinding mill. the analysis unit derives a future operating state from several pieces of measurement data detected at different times, and derives a future grinding yield loss at a time in the future therefrom and the analysis unit optimizes a maintenance time (TW) in the future, by establishing as the future maintenance time (TW) that time at which the future maintenance loss corresponds to the future grinding yield loss. <EOS>