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