What measures of centrality exist for fully connected networks with weighted directed edges?

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I have a network of cities with transport links between them. The transport links are not symmetric in both directions, therefore asymmetric edges between nodes. There is a variable number quantifying the transport capacity and average flow during times of the day. In my dataset, there are edges between every city/town.

What measures exist to quantify a particular nodes influence in this network other than simply summation of the edge values?