On the design of multifiber WDM networks

Afonso Ferreira (1) , Stéphane Pérennes (1) , A. W. Richa (2) , Hervé Rivano (1) , N. Stier Moses (3)

1 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
2 CIDSE - Computer Science and Engineering [Tempe]
3 MIT - Massachusetts Institute of Technology

In this paper, we address multifiber optical networks with Wavelength Division Multiplexing (\wdm). Assuming that the lightpaths use the same wavelength from source to destination, we extend the definition of the well-known Wavelength Assignment Problem (\wap) to the case where there are $k$ fibers per link, and $w$ wavelengths per fiber are available. This generalization is called the $(k,w)$-\wap. We develop a new model for the $(k,w)$-\wap based on \emph{ conflict hypergraphs}. Conflict hypergraphs accurately capture the lightpath interdependencies, generalizing the conflict graphs used for single-fiber networks. By relating the $(k,w)$-\wap with the hypergraph coloring problem, we prove that the former is \npc, and present further results with respect to the complexity of that problem. We consider the two natural optimization problems that arise from the $(k,w)$-\wap : the problem of minimizing $k$ given $w$, and that of minimizing $w$ given $k$. We develop and analyze the practical performances of two methodologies based on hypergraph coloring, one for each of the two optimization problems, on existing backbone networks in Europe and in the USA. The first methodology relies on an integer programming formulation, and the second consists of a heuristic based on a randomized algorithm.

Domaines: Réseaux et télécommunications [cs.NI]

Afonso Ferreira, Stéphane Pérennes, A. W. Richa, Hervé Rivano, N. Stier Moses. On the design of multifiber WDM networks. Algotel'02, May 2002, Mèze, France. pp.25--32. ⟨hal-00429849⟩