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Model-hierarchical column generation and heuristic for the routing and wavelength assignment problem

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Abstract

The routing and wavelength assignment (RWA) problem typically occurs in wavelength division multiplexing optical networks. Given a number of available wavelengths, we consider here the problem of maximising the number of accepted connections with respect to the clash and continuity constraints. We first propose a new strategy which combines two existing models. This leads to an improved column generation scheme. We also present two heuristics to compute feasible solutions: a hybrid heuristic and the integer solution at the root node of the column generation. Our approaches are compared with the best existing results on a set of classic RWA instances.

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Acknowledgments

The authors from Brazilian institutions were partially supported by CAPES, CNPq and FAPEMIG, Brazil.

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Correspondence to Mauricio C. de Souza.

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Duhamel, C., Mahey, P., Martins, A.X. et al. Model-hierarchical column generation and heuristic for the routing and wavelength assignment problem. 4OR-Q J Oper Res 14, 201–220 (2016). https://doi.org/10.1007/s10288-016-0309-z

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  • DOI: https://doi.org/10.1007/s10288-016-0309-z

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