Link state advertisements specifying dynamic routing metrics and associated variation metrics and selective distribution thereof

Each router in a network is configured for executing a link state routing protocol based on outputting a corresponding first link state advertisement message describing a connected link of the router and that specifies a first dynamic routing metric identifying a first cost of the connected link, and a corresponding variation metric identifying a statistical variation of the dynamic routing metric. Each router also is configured for selectively outputting a corresponding second link state advertisement message describing the connected link and that specifies the corresponding variation metric and an updated dynamic routing metric identifying an updated cost of the connected link relative to the first cost, the second link state advertisement message selectively output based on the updated dynamic routing metric differing from the first dynamic routing metric by more than the variation metric, or the router having received another link state advertisement from another router in the network.