The present invention relates generally to communication systems and, more particularly, to {HEAD ~ 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 
for adding
The present invention relates generally to communication systems and , more particularly , to { HEAD ~ 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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