NDLI: On wavelength assignment in WDM optical networks

Content Provider	IEEE Xplore Digital Library
Author	Harder, E.J. Sang-Kyu Lee Hyeong-Ah Choi
Copyright Year	1997
Description	Author affiliation: Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA (Harder, E.J.)
Abstract	We address the problem of assigning wavelengths to paths (connections) in optical wavelength division multiplexed networks. The problem is formulated as follows: given the physical topology of a network with each edge of two opposite directed fiber links and a set of directed paths with no more than L paths over any fiber link, we assign a wavelength to each path in such a way that no two paths are assigned the same wavelength if they share a directed physical link. In this paper, we first prove that the problem is NP-complete for arbitrary network topologies. Our NP-completeness result is obtained through a polynomial time reduction from the graph k-colorability problem. This reduction implies that no polynomial time algorithm can solve the problem with the number of wavelengths bounded by a constant times L for the class of network topologies including meshes. We then consider tree topologies. For star networks (i.e. the length of any path is bounded by two), we give a polynomial time algorithm that requires L wavelengths. For trees with path lengths larger than two, we show that the problem is NP-complete and present a heuristic algorithm based on the polynomial time algorithm for star topologies. Our heuristic algorithm may require 2L wavelengths in the worst-case, but the simulation result shows that the average-case performance significantly outperforms the worst-case bound. This suggests that fewer excess wavelengths are required when most of the load is local.
Starting Page	32
Ending Page	38
File Size	601587
Page Count	7
File Format	PDF
ISBN	0818679751
DOI	10.1109/MPPOI.1997.609080
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-06-17
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelength assignment Intelligent networks Wavelength division multiplexing WDM networks Optical fiber networks Network topology Polynomials Wavelength routing Optical switches Optical wavelength conversion
Content Type	Text
Resource Type	Article

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