An apparatus that melts and monitors sleeves for installation onto shielded cables. The apparatus includes a heat source for melting the sleeve, cable supports for supporting the cable during the melting process, a sensor system that is configured to measure a dimension of the sleeve during melting, and a computer that is connected to receive sensor data from the sensor system and send heater control signals to the heat source. The computer is configured to receive dimensional data from the sensor system, monitor that dimensional data by performing a dimensional analysis, and then deactivate or remove the heat source in response to dimensional analysis results indicating that the sleeve is fully melted (in the case of a solder sleeve) or only fully shrunken (in the case of a dead end sleeve) onto the cable.