Linear programming lower bounds for minimum converter wavelength assignment in optical networks:

Abstract: "In this paper, we study the conflict-free assignment of wavelengths to lightpaths in an optical network with the opportunity to place wavelength converters. To benchmark heuristics for the problem, we develop integer programming formulations and study their properties. Moreover, we s...

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Bibliographic Details
Main Authors: Koster, Arie M. C. A. (Author), Zymolka, Adrian (Author)
Format: Book
Language:English
Published: Berlin Konrad-Zuse-Zentrum für Informationstechnik 2004
Series:ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2004,41
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Summary:Abstract: "In this paper, we study the conflict-free assignment of wavelengths to lightpaths in an optical network with the opportunity to place wavelength converters. To benchmark heuristics for the problem, we develop integer programming formulations and study their properties. Moreover, we study the computational performance of the column generation algorithm for solving the linear relaxation of the most promising formulation. In many cases, a non-zero lower bound on the number of required converters is generated this way. For several instances, we in fact prove optimality since the lower bound equals the best known solution value."
Physical Description:17 S. graph. Darst.