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Davide Cherubini - PhD Thesis - UniCA Eprints

Davide Cherubini - PhD Thesis - UniCA Eprints

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6.4 LP models∑f∈Fx f,lij⎛⎝is f +∑h∈P(f), l∈P(h)p h⎞⎠ +∑h:(i,j)∈P(h), l∉P(h)Once again, a 100% survivability level is guaranteed.p h ≤ u max · c ij∀(i, j), l ∈ A(6.56)6.4.3 Model 3Finally, the third model finds the optimal set of explicit LSP to be used in combinationwith the (sub)optimal IS-IS metrics configuration, thus the data of theproblem, the variables, and the GRP arc-path formulation are unaltered.NotationDataN - Node setA - Edge setF - Commodity setc ij - Capacity associated with link (i, j)P(h) - Set of edges which belong to path hP(f) - Set of paths for commodity fd fx f ij- Effective bit rate of flow f- Share of flow f carried by ISIS and traversing link (i, j)Variablesu maxis fp hMaximum utilization in the network - to be minimizedShare of flow f carried by ISISShare of flow f which uses path h with MPLS technology62

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