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You can use Trace Geometric Network gp tool and accumulate in_edge_along_digitized_weight {An edge weight that is used as a cost for traversing through an edge along the digitized direction of that edge. The weight must already be defined for the given geometric network} - and - FIND_UPSTREAM_ACCUMULATION. use the accumulated value for the index


It could just be my perspective as an ArcGIS jockey, but handling the feature relationships in your own code sounds harder. If you take advantage of ArcGIS's ability to do that, I think it's simpler. How do you feel about spending some of your 8 weeks learning ArcGIS and Python? :) I don't know if there is a better way to traverse a network, but you can at ...

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