Provably Good Solutions for Wavelength Assignment in Optical Networks

Arie M.C.A. Koster (kosterzib.de)
Adrian Zymolka (zymolkazib.de)

Abstract: In this paper, we study the minimum converter wavelength assignment problem in optical networks. To benchmark the quality of solutions obtained by heuristics, we derive an integer programming formulation by generalizing the formulation of Mehrotra and Trick (1996) for the vertex coloring problem. To handle the exponential number of variables, we propose a column generation approach. Computational experiments show that the value of the linear relaxation states a good lower bound and can often prove optimality of the best solution generated heuristically.

Keywords: wavelength assignment, integer programming, column generation

Category 1: Applications -- OR and Management Sciences (Telecommunications )

Category 2: Integer Programming ((Mixed) Integer Linear Programming )

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Entry Submitted: 11/19/2004
Entry Accepted: 11/20/2004
Entry Last Modified: 11/19/2004

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