On column generation formulations for the RWA problem

Authors:
B. Jaumard;C. Meyer;B. Thiongane
Affiliations:
GERAD and CIISE, Concordia University, 1455 de Maisonneuve Blvd. W., Montreal, QC, H3G 1M8, Canada;GERAD, HEC Montréal, 3000 chemin de la Côte-Sainte-Catherine, Montréal (Québec) H3T 2A7, Canada;CRI, Institut des Sciences de l'Ingénieur, Sacré Coeur 1 No. 8465, BP 7726, Dakar, Sénégal
Venue:
Discrete Applied Mathematics
Year:
2009

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Abstract

We present a review of several column generation formulations for the Routing and Wavelength Assignment (rwa) problem with the objective of minimizing the blocking rate. Several improvements are proposed, together with a comparison of the different formulations with respect to the quality of their continuous relaxation bounds and their computing solution ease. Experimental results are presented on several classical network and traffic instances.