Abstract: The advance of a mining front in longwall mining is effected by a process in which sensors measure the displacement of displacement cylinders coupling the linked prop elements to the linked conveyor elements with their respective cutters. A computer generates a baseline represented by the actual prop line as a starting point and the conveyor elements and cutters are then advanced all along the mining front via the displacement cylinders. The sensors input the respective displacements into the computer so that an actual conveyor line is determined in the computer and serves as the baseline for after-drawing of the prop elements via the cylinders. The new prop line calculated by the computer then forms the baseline for further advance and the advance can be controlled to ultimately align the conveyor elements along the conveyor line corresponding to a setpoint line defined by the computer and parallel to the original baseline.