A system may automatically control a pipeline heating system to maintain a desired temperature and/or to provide flow assurance of process fluid along a pipeline. The system may identify the occurrence and location of the solidification of a given process fluid or the melting of the given process fluid by monitoring temperatures along the pipeline and identifying from the monitored temperatures the occurrence and location of a latent heat signature associated with the solidification or melting of the given process fluid. The system may calculate and display fill percentages of the solidified process fluid at locations along the pipeline. The system may determine the percentage of a given section of pipeline that is filled with solid and/or liquid process fluid on a meter-by-meter basis. The system may perform automated re-melt operations to resolve plugs of solidified process fluid that may occur in the pipeline.