I have a series of raster layers which contain values for the time to travel (in minutes by motor) to a series of health facilities. I also have the GPS coordinates of each of the healthcare facilities. I also have a raster layer which contains the values for the travel time to the nearest (minimum time to travel) healthcare facility.
I need to create a travel time based "catchment area" or "service area" around each health facility. Ideally, every pixel within each catchment area will be assigned to the healthcare facility it takes the least time to reach, and the catchment areas will not overlap, see image below for what I would like to produce
I have looked at the suggestion to a similar query here, and tried the Path Allocation Distance tool:
Input source data: My GPS coordinates for healthcare facilites
(the "source field" the defaults to my X coordinates, with no option to use the heathcare facility ID
Input cost raster: the time-to raster to nearest healthcare facility.
However the areas overlap as, see image below. 
What are the best tools and methods to use in Arcmap 10.8.1?
