A self-propelling machine for processing bituminous or concrete pavement material, in particular a road finisher or a feeder. The machine comprises an internal combustion engine as a primary drive source, a controller for the engine, said controller receiving control signals, at least one additional drive unit for functional and operational components of the machine as well as at least one hydraulic circuit comprising a hydraulic medium reservoir. The controller is configured for automatically causing starting and/or stopping of the engine in response to receipt of at least one specific control signal.