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Article . 2023 . Peer-reviewed
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Solving the routing and spectrum assignment problem, driven by combinatorial properties

Authors: da Silva, Pedro Henrique Fernandes; Kerivin, Hervé; Nant, Juan Pablo; Wagler, Annegret;

Solving the routing and spectrum assignment problem, driven by combinatorial properties

Abstract

AbstractThe routing and spectrum assignment problem in modern optical networks is an NP‐hard problem that has received increasing attention during the last years. The majority of existing integer linear programming models for the problem uses edge‐path formulations where variables are associated with all possible routing paths so that the number of variables grows exponentially with the size of the instance. To bypass this difficulty, precomputed subsets of all possible paths per demand are typically used, which cannot guarantee optimality of the solutions in general. Our contribution is to provide a framework for the use of edge‐path formulations to minimize the spectrum width of a solution. For that, we select an appropriate subset of paths to operate on with the help of combinatorial properties in such a way that optimality of the solution can be guaranteed. Computational results indicate that our approach is indeed promising to solve the routing and spectrum assignment problem.

Country
France
Keywords

[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], Combinatorial optimization, routing and spectrum assignment problem, Communication networks in operations research, combinatorial properties, minimum spectrum width, routing and spectrum assignment problem, Programming involving graphs or networks, minimum spectrum width, [INFO.INFO-RO] Computer Science [cs]/Operations Research [math.OC], combinatorial properties

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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