I don't know if the following can be solved with a QGIS plugin. In MapInfo it
requires a 1500 Euro add-on.
But perhaps someone has had a similar problem in the past? Maybe with road
networks, or watercourse volumes?

I would like to calculate the total 'weight' of goods which will travel
across *each* road section.
Goods will arrive at the closest road section, and then travel along
subsequent road sections to the destination. So, road sections nearest the
destination will have multiple loads travelling over it which need to be
added together. Example image attached.
<http://osgeo-org.1560.x6.nabble.com/file/n5303505/road_usage_problem.jpg> 



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