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RMLSA is one of main problems in TEON. RMLSA seeks to calculate a solution that minimizes the máximum used spectrum subject to contiguity, continuity and non-overlapping spectrum constraints. An RMLSA solution determines that every optical path has the same slot-block frequencies and modulation format in its links. However, when the paths have long lengths (i) it increases the used spectrum due to modulation format assignment with low bit rate, and (ii) increases the blocked requests when the length of the path exceeds the maximum length of the basic modulation format.To solve these issues it is necessary EON with Optic-Electric-Optic (OEO) conversion capability, i.e.Opaque EON. This way a long path can be divided among independent-and-interconnected sub-paths. In counterpart, this solution may imply high energy consumption. In consequence this work proposes an ILP to solve the RMLSA problem in OEON considering the minimizing of the numbers of sub-paths and the maximum used spectrum
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