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Approximation algorithms for the design of SDH/SONET networks

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RAIRO Oper. Res. 37 (2003) 235-247 DOI: 10.1051/ro:2004003

Approximation algorithms for the design of SDH/SONET

networks

Nadia Brauner1, Yves Crama2, Gerd Finke1, Pierre Lemaire1 and Christelle Wynants3

1 Laboratoire Leibniz-IMAG, 46 avenue Félix Viallet, 38031 Grenoble Cedex, France;

nadia.brauner@imag.fr, gerd.finke@imag.fr, pierre.lemaire@imag.fr.

2 École d'Administration des Affaires, Université de Liège, boulevard du Rectorat 7 (B31), 4000

Liège, Belgique; y.crama@ulg.ac.be.

3 Electrabel Quantitive Analysis, 8 boulevard du Régent, 1000 Brussels, Belgique;

christelle.wynants@electrabel.com. Abstract

In this paper, a graph partitioning problem that arises in the design of SONET/SDH networks is defined and formalized. Approximation algorithms with performance guarantees are presented. To solve this problem efficiently in practice, fast greedy algorithms and a tabu-search method are proposed and analyzed by means of an experimental study.

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