NDLI: A Lagrangean decomposition approach for the routing and wavelength assignment in multifiber WDM networks

Content Provider	IEEE Xplore Digital Library
Author	Saad, M.E.M. Zhi-Quan Luo
Copyright Year	2002
Description	Author affiliation: Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada (Saad, M.E.M.; Zhi-Quan Luo)
Abstract	This paper addresses the problem of routing and wavelength assignment (RWA) in multifiber WDM networks assuming neither a special topology nor wavelength converters. Given a set of connection requests, the number of fibers deployed on each link, and the number of wavelengths a fiber can support, we seek to maximize the number of lightpaths that can be established. We formulate the problem as an integer linear program (ILP), whose validity is proven by showing that the selected lightpaths can indeed be realized by properly configuring the optical switches. Furthermore, using a Lagrangean decomposition approach, the problem formulation is significantly simplified. The main advantage of our approach is that, independent of the number of wavelengths, provably optimal solutions to the problem can be obtained by considering only one wavelength in the formulation, leading to highly efficient and scalable algorithms. Although our formulation is path-flow based rather than link-flow based, we prove that, even if all, possibly exponentially many, paths are considered, its linear programming (LP) relaxation can always be solved in polynomial time. We use the branch-and-bound algorithm in the CPLEX optimization package to solve the resulting ILP formulation. Computational results confirm the high efficiency of the Lagrangean decomposition approach.
Starting Page	2818
Ending Page	2822
File Size	375914
Page Count	5
File Format	PDF
ISBN	0780376323
DOI	10.1109/GLOCOM.2002.1189143
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-11-17
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lagrangian functions Wavelength routing Wavelength assignment WDM networks Network topology Optical wavelength conversion Optical switches Linear programming Polynomials Packaging
Content Type	Text
Resource Type	Article

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