The present invention relates generally to {HEAD ~ communication systems} and, more particularly, to methods for analyzing and reducing the cost of survivability in IP networks while considering link weights, link utilization, and adding {TAIL ~ links} to the network topology 
The present invention relates generally to { HEAD ~ communication systems } and , more particularly , to methods for analyzing and reducing the cost of survivability in IP networks while considering link weights , link utilization , and adding { TAIL ~ links } to the network topology
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