New answers tagged network
You can use the "Multiparti To Singlepart" tool in ArcToolbox under Data Management Tools then in the Features Toolset
You will definitely need an elevation raster (DEM) to do what you want. With the DEM you can use two GRASS modules to get individual drainage areas for points along the river network as follows: First calculate a flow direction grid from the DEM with r.watershed: r.watershed elev=DEM thresh=<your threshold> drain=flow_dir_grid See the r.watershed ...
If your facilities and incidents are both feature layers, and you only care about finding the closest (and not 2nd closest, 3rd closest, etc.) then you can just run Spatial Join. Set your incidents as the target_features, facilities as join_features, and closest as the match_option, and it will join the attributes of the nearest facility to each incident.
We have done so using our RW Net 4 package for calculating flow from your CSV-data and then used line thickness for illustration of volume. In this example all flows are from a single location: http://www.routeware.dk/wordpress/?p=61
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